Weilun Xie, Weipeng Xuan, Danyang Fu, Yingqi Jiang, Qikun Wang, Xingli He, Liang Wu, Jinkai Chen, Shurong Dong, Hao Jin, Jikui Luo
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{"title":"基于 a-plane ( 11 2 ¯ 0 ) Al0.56Sc0.44N 薄膜的高机电耦合声表面波谐振器的理论与实验研究","authors":"Weilun Xie, Weipeng Xuan, Danyang Fu, Yingqi Jiang, Qikun Wang, Xingli He, Liang Wu, Jinkai Chen, Shurong Dong, Hao Jin, Jikui Luo","doi":"10.1002/pssr.202300443","DOIUrl":null,"url":null,"abstract":"In this work, a high-quality Al<sub>0.56</sub>Sc<sub>0.44</sub>N<mjx-container aria-label=\"left parenthesis 11 ModifyingAbove 2 With bar 0 right parenthesis\" ctxtmenu_counter=\"1\" ctxtmenu_oldtabindex=\"1\" jax=\"CHTML\" role=\"application\" sre-explorer- style=\"font-size: 103%; position: relative;\" tabindex=\"0\"><mjx-math aria-hidden=\"true\"><mjx-semantics><mjx-mrow><mjx-mrow data-semantic-children=\"8\" data-semantic-content=\"0,9\" data-semantic- data-semantic-role=\"leftright\" data-semantic-speech=\"left parenthesis 11 ModifyingAbove 2 With bar 0 right parenthesis\" data-semantic-type=\"fenced\"><mjx-mo data-semantic- data-semantic-operator=\"fenced\" data-semantic-parent=\"10\" data-semantic-role=\"open\" data-semantic-type=\"fence\" style=\"margin-left: 0.056em; margin-right: 0.056em;\"><mjx-c></mjx-c></mjx-mo><mjx-mrow data-semantic-annotation=\"clearspeak:unit\" data-semantic-children=\"1,4,5\" data-semantic-content=\"6,7\" data-semantic- data-semantic-parent=\"10\" data-semantic-role=\"implicit\" data-semantic-type=\"infixop\"><mjx-mn data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"8\" data-semantic-role=\"integer\" data-semantic-type=\"number\"><mjx-c></mjx-c><mjx-c></mjx-c></mjx-mn><mjx-mo data-semantic-added=\"true\" data-semantic- data-semantic-operator=\"infixop,\" data-semantic-parent=\"8\" data-semantic-role=\"multiplication\" data-semantic-type=\"operator\" style=\"margin-left: 0.056em; margin-right: 0.056em;\"><mjx-c></mjx-c></mjx-mo><mjx-mover data-semantic-children=\"2,3\" data-semantic- data-semantic-parent=\"8\" data-semantic-role=\"integer\" data-semantic-type=\"overscore\"><mjx-over style=\"padding-bottom: 0.105em; padding-left: 0.25em; margin-bottom: -0.544em;\"><mjx-mo data-semantic- data-semantic-parent=\"4\" data-semantic-role=\"overaccent\" data-semantic-type=\"operator\" style=\"width: 0px; margin-left: -0.25em;\"><mjx-c></mjx-c></mjx-mo></mjx-over><mjx-base><mjx-mn data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"4\" data-semantic-role=\"integer\" data-semantic-type=\"number\"><mjx-c></mjx-c></mjx-mn></mjx-base></mjx-mover><mjx-mo data-semantic-added=\"true\" data-semantic- data-semantic-operator=\"infixop,\" data-semantic-parent=\"8\" data-semantic-role=\"multiplication\" data-semantic-type=\"operator\" style=\"margin-left: 0.056em; margin-right: 0.056em;\"><mjx-c></mjx-c></mjx-mo><mjx-mn data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"8\" data-semantic-role=\"integer\" data-semantic-type=\"number\"><mjx-c></mjx-c></mjx-mn></mjx-mrow><mjx-mo data-semantic- data-semantic-operator=\"fenced\" data-semantic-parent=\"10\" data-semantic-role=\"close\" data-semantic-type=\"fence\" style=\"margin-left: 0.056em; margin-right: 0.056em;\"><mjx-c></mjx-c></mjx-mo></mjx-mrow></mjx-mrow></mjx-semantics></mjx-math><mjx-assistive-mml aria-hidden=\"true\" display=\"inline\" unselectable=\"on\"><math altimg=\"/cms/asset/b3afac2c-d86c-4a82-8e01-950afeedddd7/pssr202300443-math-0002.png\" xmlns=\"http://www.w3.org/1998/Math/MathML\"><semantics><mrow><mrow data-semantic-=\"\" data-semantic-children=\"8\" data-semantic-content=\"0,9\" data-semantic-role=\"leftright\" data-semantic-speech=\"left parenthesis 11 ModifyingAbove 2 With bar 0 right parenthesis\" data-semantic-type=\"fenced\"><mo data-semantic-=\"\" data-semantic-operator=\"fenced\" data-semantic-parent=\"10\" data-semantic-role=\"open\" data-semantic-type=\"fence\" stretchy=\"false\">(</mo><mrow data-semantic-=\"\" data-semantic-annotation=\"clearspeak:unit\" data-semantic-children=\"1,4,5\" data-semantic-content=\"6,7\" data-semantic-parent=\"10\" data-semantic-role=\"implicit\" data-semantic-type=\"infixop\"><mn data-semantic-=\"\" data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic-parent=\"8\" data-semantic-role=\"integer\" data-semantic-type=\"number\">11</mn><mo data-semantic-=\"\" data-semantic-added=\"true\" data-semantic-operator=\"infixop,\" data-semantic-parent=\"8\" data-semantic-role=\"multiplication\" data-semantic-type=\"operator\"></mo><mover accent=\"true\" data-semantic-=\"\" data-semantic-children=\"2,3\" data-semantic-parent=\"8\" data-semantic-role=\"integer\" data-semantic-type=\"overscore\"><mn data-semantic-=\"\" data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic-parent=\"4\" data-semantic-role=\"integer\" data-semantic-type=\"number\">2</mn><mo data-semantic-=\"\" data-semantic-parent=\"4\" data-semantic-role=\"overaccent\" data-semantic-type=\"operator\" stretchy=\"false\">¯</mo></mover><mo data-semantic-=\"\" data-semantic-added=\"true\" data-semantic-operator=\"infixop,\" data-semantic-parent=\"8\" data-semantic-role=\"multiplication\" data-semantic-type=\"operator\"></mo><mn data-semantic-=\"\" data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic-parent=\"8\" data-semantic-role=\"integer\" data-semantic-type=\"number\">0</mn></mrow><mo data-semantic-=\"\" data-semantic-operator=\"fenced\" data-semantic-parent=\"10\" data-semantic-role=\"close\" data-semantic-type=\"fence\" stretchy=\"false\">)</mo></mrow></mrow>$\\left(\\right. 11 \\bar{2} 0 \\left.\\right)$</annotation></semantics></math></mjx-assistive-mml></mjx-container> piezoelectric thin film-based surface acoustic wave (SAW) resonator was developed. The Al<sub>0.56</sub>Sc<sub>0.44</sub>N was deposited on a r-plane Al<sub>2</sub>O<sub>3</sub> <mjx-container aria-label=\"left parenthesis 1 ModifyingAbove 1 With bar 02 right parenthesis\" ctxtmenu_counter=\"2\" ctxtmenu_oldtabindex=\"1\" jax=\"CHTML\" role=\"application\" sre-explorer- style=\"font-size: 103%; position: relative;\" tabindex=\"0\"><mjx-math aria-hidden=\"true\"><mjx-semantics><mjx-mrow><mjx-mrow data-semantic-children=\"8\" data-semantic-content=\"0,9\" data-semantic- data-semantic-role=\"leftright\" data-semantic-speech=\"left parenthesis 1 ModifyingAbove 1 With bar 02 right parenthesis\" data-semantic-type=\"fenced\"><mjx-mo data-semantic- data-semantic-operator=\"fenced\" data-semantic-parent=\"10\" data-semantic-role=\"open\" data-semantic-type=\"fence\" style=\"margin-left: 0.056em; margin-right: 0.056em;\"><mjx-c></mjx-c></mjx-mo><mjx-mrow data-semantic-annotation=\"clearspeak:unit\" data-semantic-children=\"1,4,5\" data-semantic-content=\"6,7\" data-semantic- data-semantic-parent=\"10\" data-semantic-role=\"implicit\" data-semantic-type=\"infixop\"><mjx-mn data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"8\" data-semantic-role=\"integer\" data-semantic-type=\"number\"><mjx-c></mjx-c></mjx-mn><mjx-mo data-semantic-added=\"true\" data-semantic- data-semantic-operator=\"infixop,\" data-semantic-parent=\"8\" data-semantic-role=\"multiplication\" data-semantic-type=\"operator\" style=\"margin-left: 0.056em; margin-right: 0.056em;\"><mjx-c></mjx-c></mjx-mo><mjx-mover data-semantic-children=\"2,3\" data-semantic- data-semantic-parent=\"8\" data-semantic-role=\"integer\" data-semantic-type=\"overscore\"><mjx-over style=\"padding-bottom: 0.105em; padding-left: 0.25em; margin-bottom: -0.544em;\"><mjx-mo data-semantic- data-semantic-parent=\"4\" data-semantic-role=\"overaccent\" data-semantic-type=\"operator\" style=\"width: 0px; margin-left: -0.25em;\"><mjx-c></mjx-c></mjx-mo></mjx-over><mjx-base><mjx-mn data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"4\" data-semantic-role=\"integer\" data-semantic-type=\"number\"><mjx-c></mjx-c></mjx-mn></mjx-base></mjx-mover><mjx-mo data-semantic-added=\"true\" data-semantic- data-semantic-operator=\"infixop,\" data-semantic-parent=\"8\" data-semantic-role=\"multiplication\" data-semantic-type=\"operator\" style=\"margin-left: 0.056em; margin-right: 0.056em;\"><mjx-c></mjx-c></mjx-mo><mjx-mn data-semantic-annotation=\"general:basenumber;clearspeak:simple\" data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"8\" data-semantic-role=\"integer\" data-semantic-type=\"number\"><mjx-c></mjx-c><mjx-c></mjx-c></mjx-mn></mjx-mrow><mjx-mo data-semantic- data-semantic-operator=\"fenced\" data-semantic-parent=\"10\" data-semantic-role=\"close\" data-semantic-type=\"fence\" style=\"margin-left: 0.056em; margin-right: 0.056em;\"><mjx-c></mjx-c></mjx-mo></mjx-mrow></mjx-mrow></mjx-semantics></mjx-math><mjx-assistive-mml aria-hidden=\"true\" display=\"inline\" unselectable=\"on\"><math altimg=\"/cms/asset/06cd5669-e0c3-4afc-ae45-67afaba2a904/pssr202300443-math-0003.png\" xmlns=\"http://www.w3.org/1998/Math/MathML\"><semantics><mrow><mrow data-semantic-=\"\" data-semantic-children=\"8\" data-semantic-content=\"0,9\" data-semantic-role=\"leftright\" data-semantic-speech=\"left parenthesis 1 ModifyingAbove 1 With bar 02 right parenthesis\" data-semantic-type=\"fenced\"><mo data-semantic-=\"\" data-semantic-operator=\"fenced\" data-semantic-parent=\"10\" data-semantic-role=\"open\" data-semantic-type=\"fence\" stretchy=\"false\">(</mo><mrow data-semantic-=\"\" data-semantic-annotation=\"clearspeak:unit\" data-semantic-children=\"1,4,5\" data-semantic-content=\"6,7\" data-semantic-parent=\"10\" data-semantic-role=\"implicit\" data-semantic-type=\"infixop\"><mn data-semantic-=\"\" data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic-parent=\"8\" data-semantic-role=\"integer\" data-semantic-type=\"number\">1</mn><mo data-semantic-=\"\" data-semantic-added=\"true\" data-semantic-operator=\"infixop,\" data-semantic-parent=\"8\" data-semantic-role=\"multiplication\" data-semantic-type=\"operator\"></mo><mover accent=\"true\" data-semantic-=\"\" data-semantic-children=\"2,3\" data-semantic-parent=\"8\" data-semantic-role=\"integer\" data-semantic-type=\"overscore\"><mn data-semantic-=\"\" data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic-parent=\"4\" data-semantic-role=\"integer\" data-semantic-type=\"number\">1</mn><mo data-semantic-=\"\" data-semantic-parent=\"4\" data-semantic-role=\"overaccent\" data-semantic-type=\"operator\" stretchy=\"false\">¯</mo></mover><mo data-semantic-=\"\" data-semantic-added=\"true\" data-semantic-operator=\"infixop,\" data-semantic-parent=\"8\" data-semantic-role=\"multiplication\" data-semantic-type=\"operator\"></mo><mn data-semantic-=\"\" data-semantic-annotation=\"general:basenumber;clearspeak:simple\" data-semantic-font=\"normal\" data-semantic-parent=\"8\" data-semantic-role=\"integer\" data-semantic-type=\"number\">02</mn></mrow><mo data-semantic-=\"\" data-semantic-operator=\"fenced\" data-semantic-parent=\"10\" data-semantic-role=\"close\" data-semantic-type=\"fence\" stretchy=\"false\">)</mo></mrow></mrow>$\\left(\\right. 1 \\bar{1} 02 \\left.\\right)$</annotation></semantics></math></mjx-assistive-mml></mjx-container> substrate by reactive magnetron sputtering. X-ray diffraction (XRD) spectroscopy showed that the grown Al<sub>0.56</sub>Sc<sub>0.44</sub>N films are single-phased and a-plane oriented. The FWHM of the XRD rocking curve is only 0.4°, which is smaller than most of the reported values. The effects of normalized thickness of the piezoelectric layer, electrode materials and thickness on acoustic properties of the SAW resonators were investigated through the 3D finite element method equipped with the hierarchical cascading technique. A monotonically decreasing resonant frequency can be obtained with the mass loading of both the electrode metals. For the devices with a Pt electrode, it is observed that the electromechanical coupling coefficient (<mjx-container aria-label=\"k Subscript e f f Superscript 2\" ctxtmenu_counter=\"3\" ctxtmenu_oldtabindex=\"1\" jax=\"CHTML\" role=\"application\" sre-explorer- style=\"font-size: 103%; position: relative;\" tabindex=\"0\"><mjx-math aria-hidden=\"true\"><mjx-semantics><mjx-mrow><mjx-msubsup data-semantic-children=\"0,6,7\" data-semantic-collapsed=\"(9 (8 0 6) 7)\" data-semantic- data-semantic-role=\"latinletter\" data-semantic-speech=\"k Subscript e f f Superscript 2\" data-semantic-type=\"subsup\"><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic- data-semantic-parent=\"9\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\"><mjx-c></mjx-c></mjx-mi><mjx-script style=\"vertical-align: -0.316em; margin-left: 0px;\"><mjx-mn data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"9\" data-semantic-role=\"integer\" data-semantic-type=\"number\" size=\"s\"><mjx-c></mjx-c></mjx-mn><mjx-spacer style=\"margin-top: 0.18em;\"></mjx-spacer><mjx-mrow data-semantic-annotation=\"clearspeak:unit\" data-semantic-children=\"1,2,3\" data-semantic-content=\"4,5\" data-semantic- data-semantic-parent=\"9\" data-semantic-role=\"implicit\" data-semantic-type=\"infixop\" size=\"s\"><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic- data-semantic-parent=\"6\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\"><mjx-c></mjx-c></mjx-mi><mjx-mo data-semantic-added=\"true\" data-semantic- data-semantic-operator=\"infixop,\" data-semantic-parent=\"6\" data-semantic-role=\"multiplication\" data-semantic-type=\"operator\"><mjx-c></mjx-c></mjx-mo><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic- data-semantic-parent=\"6\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\"><mjx-c></mjx-c></mjx-mi><mjx-mo data-semantic-added=\"true\" data-semantic- data-semantic-operator=\"infixop,\" data-semantic-parent=\"6\" data-semantic-role=\"multiplication\" data-semantic-type=\"operator\"><mjx-c></mjx-c></mjx-mo><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic- data-semantic-parent=\"6\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\"><mjx-c></mjx-c></mjx-mi></mjx-mrow></mjx-script></mjx-msubsup></mjx-mrow></mjx-semantics></mjx-math><mjx-assistive-mml aria-hidden=\"true\" display=\"inline\" unselectable=\"on\"><math altimg=\"/cms/asset/d675e832-4e47-4419-b9e6-935de917d37b/pssr202300443-math-0004.png\" xmlns=\"http://www.w3.org/1998/Math/MathML\"><semantics><mrow><msubsup data-semantic-=\"\" data-semantic-children=\"0,6,7\" data-semantic-collapsed=\"(9 (8 0 6) 7)\" data-semantic-role=\"latinletter\" data-semantic-speech=\"k Subscript e f f Superscript 2\" data-semantic-type=\"subsup\"><mi data-semantic-=\"\" data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic-parent=\"9\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\">k</mi><mrow data-semantic-=\"\" data-semantic-annotation=\"clearspeak:unit\" data-semantic-children=\"1,2,3\" data-semantic-content=\"4,5\" data-semantic-parent=\"9\" data-semantic-role=\"implicit\" data-semantic-type=\"infixop\"><mi data-semantic-=\"\" data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic-parent=\"6\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\">e</mi><mo data-semantic-=\"\" data-semantic-added=\"true\" data-semantic-operator=\"infixop,\" data-semantic-parent=\"6\" data-semantic-role=\"multiplication\" data-semantic-type=\"operator\"></mo><mi data-semantic-=\"\" data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic-parent=\"6\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\">f</mi><mo data-semantic-=\"\" data-semantic-added=\"true\" data-semantic-operator=\"infixop,\" data-semantic-parent=\"6\" data-semantic-role=\"multiplication\" data-semantic-type=\"operator\"></mo><mi data-semantic-=\"\" data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic-parent=\"6\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\">f</mi></mrow><mn data-semantic-=\"\" data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic-parent=\"9\" data-semantic-role=\"integer\" data-semantic-type=\"number\">2</mn></msubsup></mrow>$k_{e f f}^{2}$</annotation></semantics></math></mjx-assistive-mml></mjx-container>) exhibits a nonlinear characteristic of first increasing and then decreasing with the increase of electrode thickness. SAW resonators with a nonpolar a-plane Al<sub>0.56</sub>Sc<sub>0.44</sub>N thin films were fabricated, showing an exceptionally high <mjx-container aria-label=\"k Subscript e f f Superscript 2\" ctxtmenu_counter=\"4\" ctxtmenu_oldtabindex=\"1\" jax=\"CHTML\" role=\"application\" sre-explorer- style=\"font-size: 103%; position: relative;\" tabindex=\"0\"><mjx-math aria-hidden=\"true\"><mjx-semantics><mjx-mrow><mjx-msubsup data-semantic-children=\"0,6,7\" data-semantic-collapsed=\"(9 (8 0 6) 7)\" data-semantic- data-semantic-role=\"latinletter\" data-semantic-speech=\"k Subscript e f f Superscript 2\" data-semantic-type=\"subsup\"><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic- data-semantic-parent=\"9\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\"><mjx-c></mjx-c></mjx-mi><mjx-script style=\"vertical-align: -0.316em; margin-left: 0px;\"><mjx-mn data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"9\" data-semantic-role=\"integer\" data-semantic-type=\"number\" size=\"s\"><mjx-c></mjx-c></mjx-mn><mjx-spacer style=\"margin-top: 0.18em;\"></mjx-spacer><mjx-mrow data-semantic-annotation=\"clearspeak:unit\" data-semantic-children=\"1,2,3\" data-semantic-content=\"4,5\" data-semantic- data-semantic-parent=\"9\" data-semantic-role=\"implicit\" data-semantic-type=\"infixop\" size=\"s\"><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic- data-semantic-parent=\"6\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\"><mjx-c></mjx-c></mjx-mi><mjx-mo data-semantic-added=\"true\" data-semantic- data-semantic-operator=\"infixop,\" data-semantic-parent=\"6\" data-semantic-role=\"multiplication\" data-semantic-type=\"operator\"><mjx-c></mjx-c></mjx-mo><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic- data-semantic-parent=\"6\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\"><mjx-c></mjx-c></mjx-mi><mjx-mo data-semantic-added=\"true\" data-semantic- data-semantic-operator=\"infixop,\" data-semantic-parent=\"6\" data-semantic-role=\"multiplication\" data-semantic-type=\"operator\"><mjx-c></mjx-c></mjx-mo><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic- data-semantic-parent=\"6\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\"><mjx-c></mjx-c></mjx-mi></mjx-mrow></mjx-script></mjx-msubsup></mjx-mrow></mjx-semantics></mjx-math><mjx-assistive-mml aria-hidden=\"true\" display=\"inline\" unselectable=\"on\"><math altimg=\"/cms/asset/1e1ee0fc-558d-4380-bd04-b8e48ebea95b/pssr202300443-math-0005.png\" xmlns=\"http://www.w3.org/1998/Math/MathML\"><semantics><mrow><msubsup data-semantic-=\"\" data-semantic-children=\"0,6,7\" data-semantic-collapsed=\"(9 (8 0 6) 7)\" data-semantic-role=\"latinletter\" data-semantic-speech=\"k Subscript e f f Superscript 2\" data-semantic-type=\"subsup\"><mi data-semantic-=\"\" data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic-parent=\"9\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\">k</mi><mrow data-semantic-=\"\" data-semantic-annotation=\"clearspeak:unit\" data-semantic-children=\"1,2,3\" data-semantic-content=\"4,5\" data-semantic-parent=\"9\" data-semantic-role=\"implicit\" data-semantic-type=\"infixop\"><mi data-semantic-=\"\" data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic-parent=\"6\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\">e</mi><mo data-semantic-=\"\" data-semantic-added=\"true\" data-semantic-operator=\"infixop,\" data-semantic-parent=\"6\" data-semantic-role=\"multiplication\" data-semantic-type=\"operator\"></mo><mi data-semantic-=\"\" data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic-parent=\"6\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\">f</mi><mo data-semantic-=\"\" data-semantic-added=\"true\" data-semantic-operator=\"infixop,\" data-semantic-parent=\"6\" data-semantic-role=\"multiplication\" data-semantic-type=\"operator\"></mo><mi data-semantic-=\"\" data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic-parent=\"6\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\">f</mi></mrow><mn data-semantic-=\"\" data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic-parent=\"9\" data-semantic-role=\"integer\" data-semantic-type=\"number\">2</mn></msubsup></mrow>$k_{e f f}^{2}$</annotation></semantics></math></mjx-assistive-mml></mjx-container> of 4.6%. This result demonstrates a significant potential of AlScN films with the a-plane orientation in RF application.","PeriodicalId":54619,"journal":{"name":"Physica Status Solidi-Rapid Research Letters","volume":null,"pages":null},"PeriodicalIF":2.5000,"publicationDate":"2024-02-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Theoretical and experimental study of high electromechanical coupling SAW resonators based on a-plane ( 11 2 ¯ 0 ) Al0.56Sc0.44N films\",\"authors\":\"Weilun Xie, Weipeng Xuan, Danyang Fu, Yingqi Jiang, Qikun Wang, Xingli He, Liang Wu, Jinkai Chen, Shurong Dong, Hao Jin, Jikui Luo\",\"doi\":\"10.1002/pssr.202300443\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this work, a high-quality Al<sub>0.56</sub>Sc<sub>0.44</sub>N<mjx-container aria-label=\\\"left parenthesis 11 ModifyingAbove 2 With bar 0 right parenthesis\\\" ctxtmenu_counter=\\\"1\\\" ctxtmenu_oldtabindex=\\\"1\\\" jax=\\\"CHTML\\\" role=\\\"application\\\" sre-explorer- style=\\\"font-size: 103%; position: relative;\\\" tabindex=\\\"0\\\"><mjx-math aria-hidden=\\\"true\\\"><mjx-semantics><mjx-mrow><mjx-mrow data-semantic-children=\\\"8\\\" data-semantic-content=\\\"0,9\\\" data-semantic- data-semantic-role=\\\"leftright\\\" data-semantic-speech=\\\"left parenthesis 11 ModifyingAbove 2 With bar 0 right parenthesis\\\" data-semantic-type=\\\"fenced\\\"><mjx-mo data-semantic- data-semantic-operator=\\\"fenced\\\" data-semantic-parent=\\\"10\\\" data-semantic-role=\\\"open\\\" data-semantic-type=\\\"fence\\\" style=\\\"margin-left: 0.056em; margin-right: 0.056em;\\\"><mjx-c></mjx-c></mjx-mo><mjx-mrow data-semantic-annotation=\\\"clearspeak:unit\\\" data-semantic-children=\\\"1,4,5\\\" data-semantic-content=\\\"6,7\\\" data-semantic- data-semantic-parent=\\\"10\\\" data-semantic-role=\\\"implicit\\\" data-semantic-type=\\\"infixop\\\"><mjx-mn data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"normal\\\" data-semantic- data-semantic-parent=\\\"8\\\" data-semantic-role=\\\"integer\\\" data-semantic-type=\\\"number\\\"><mjx-c></mjx-c><mjx-c></mjx-c></mjx-mn><mjx-mo data-semantic-added=\\\"true\\\" data-semantic- data-semantic-operator=\\\"infixop,\\\" data-semantic-parent=\\\"8\\\" data-semantic-role=\\\"multiplication\\\" data-semantic-type=\\\"operator\\\" style=\\\"margin-left: 0.056em; margin-right: 0.056em;\\\"><mjx-c></mjx-c></mjx-mo><mjx-mover data-semantic-children=\\\"2,3\\\" data-semantic- data-semantic-parent=\\\"8\\\" data-semantic-role=\\\"integer\\\" data-semantic-type=\\\"overscore\\\"><mjx-over style=\\\"padding-bottom: 0.105em; padding-left: 0.25em; margin-bottom: -0.544em;\\\"><mjx-mo data-semantic- data-semantic-parent=\\\"4\\\" data-semantic-role=\\\"overaccent\\\" data-semantic-type=\\\"operator\\\" style=\\\"width: 0px; margin-left: -0.25em;\\\"><mjx-c></mjx-c></mjx-mo></mjx-over><mjx-base><mjx-mn data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"normal\\\" data-semantic- data-semantic-parent=\\\"4\\\" data-semantic-role=\\\"integer\\\" data-semantic-type=\\\"number\\\"><mjx-c></mjx-c></mjx-mn></mjx-base></mjx-mover><mjx-mo data-semantic-added=\\\"true\\\" data-semantic- data-semantic-operator=\\\"infixop,\\\" data-semantic-parent=\\\"8\\\" data-semantic-role=\\\"multiplication\\\" data-semantic-type=\\\"operator\\\" style=\\\"margin-left: 0.056em; margin-right: 0.056em;\\\"><mjx-c></mjx-c></mjx-mo><mjx-mn data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"normal\\\" data-semantic- data-semantic-parent=\\\"8\\\" data-semantic-role=\\\"integer\\\" data-semantic-type=\\\"number\\\"><mjx-c></mjx-c></mjx-mn></mjx-mrow><mjx-mo data-semantic- data-semantic-operator=\\\"fenced\\\" data-semantic-parent=\\\"10\\\" data-semantic-role=\\\"close\\\" data-semantic-type=\\\"fence\\\" style=\\\"margin-left: 0.056em; margin-right: 0.056em;\\\"><mjx-c></mjx-c></mjx-mo></mjx-mrow></mjx-mrow></mjx-semantics></mjx-math><mjx-assistive-mml aria-hidden=\\\"true\\\" display=\\\"inline\\\" unselectable=\\\"on\\\"><math altimg=\\\"/cms/asset/b3afac2c-d86c-4a82-8e01-950afeedddd7/pssr202300443-math-0002.png\\\" xmlns=\\\"http://www.w3.org/1998/Math/MathML\\\"><semantics><mrow><mrow data-semantic-=\\\"\\\" data-semantic-children=\\\"8\\\" data-semantic-content=\\\"0,9\\\" data-semantic-role=\\\"leftright\\\" data-semantic-speech=\\\"left parenthesis 11 ModifyingAbove 2 With bar 0 right parenthesis\\\" data-semantic-type=\\\"fenced\\\"><mo data-semantic-=\\\"\\\" data-semantic-operator=\\\"fenced\\\" data-semantic-parent=\\\"10\\\" data-semantic-role=\\\"open\\\" data-semantic-type=\\\"fence\\\" stretchy=\\\"false\\\">(</mo><mrow data-semantic-=\\\"\\\" data-semantic-annotation=\\\"clearspeak:unit\\\" data-semantic-children=\\\"1,4,5\\\" data-semantic-content=\\\"6,7\\\" data-semantic-parent=\\\"10\\\" data-semantic-role=\\\"implicit\\\" data-semantic-type=\\\"infixop\\\"><mn data-semantic-=\\\"\\\" data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"normal\\\" data-semantic-parent=\\\"8\\\" data-semantic-role=\\\"integer\\\" data-semantic-type=\\\"number\\\">11</mn><mo data-semantic-=\\\"\\\" data-semantic-added=\\\"true\\\" data-semantic-operator=\\\"infixop,\\\" data-semantic-parent=\\\"8\\\" data-semantic-role=\\\"multiplication\\\" data-semantic-type=\\\"operator\\\"></mo><mover accent=\\\"true\\\" data-semantic-=\\\"\\\" data-semantic-children=\\\"2,3\\\" data-semantic-parent=\\\"8\\\" data-semantic-role=\\\"integer\\\" data-semantic-type=\\\"overscore\\\"><mn data-semantic-=\\\"\\\" data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"normal\\\" data-semantic-parent=\\\"4\\\" data-semantic-role=\\\"integer\\\" data-semantic-type=\\\"number\\\">2</mn><mo data-semantic-=\\\"\\\" data-semantic-parent=\\\"4\\\" data-semantic-role=\\\"overaccent\\\" data-semantic-type=\\\"operator\\\" stretchy=\\\"false\\\">¯</mo></mover><mo data-semantic-=\\\"\\\" data-semantic-added=\\\"true\\\" data-semantic-operator=\\\"infixop,\\\" data-semantic-parent=\\\"8\\\" data-semantic-role=\\\"multiplication\\\" data-semantic-type=\\\"operator\\\"></mo><mn data-semantic-=\\\"\\\" data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"normal\\\" data-semantic-parent=\\\"8\\\" data-semantic-role=\\\"integer\\\" data-semantic-type=\\\"number\\\">0</mn></mrow><mo data-semantic-=\\\"\\\" data-semantic-operator=\\\"fenced\\\" data-semantic-parent=\\\"10\\\" data-semantic-role=\\\"close\\\" data-semantic-type=\\\"fence\\\" stretchy=\\\"false\\\">)</mo></mrow></mrow>$\\\\left(\\\\right. 11 \\\\bar{2} 0 \\\\left.\\\\right)$</annotation></semantics></math></mjx-assistive-mml></mjx-container> piezoelectric thin film-based surface acoustic wave (SAW) resonator was developed. The Al<sub>0.56</sub>Sc<sub>0.44</sub>N was deposited on a r-plane Al<sub>2</sub>O<sub>3</sub> <mjx-container aria-label=\\\"left parenthesis 1 ModifyingAbove 1 With bar 02 right parenthesis\\\" ctxtmenu_counter=\\\"2\\\" ctxtmenu_oldtabindex=\\\"1\\\" jax=\\\"CHTML\\\" role=\\\"application\\\" sre-explorer- style=\\\"font-size: 103%; position: relative;\\\" tabindex=\\\"0\\\"><mjx-math aria-hidden=\\\"true\\\"><mjx-semantics><mjx-mrow><mjx-mrow data-semantic-children=\\\"8\\\" data-semantic-content=\\\"0,9\\\" data-semantic- data-semantic-role=\\\"leftright\\\" data-semantic-speech=\\\"left parenthesis 1 ModifyingAbove 1 With bar 02 right parenthesis\\\" data-semantic-type=\\\"fenced\\\"><mjx-mo data-semantic- data-semantic-operator=\\\"fenced\\\" data-semantic-parent=\\\"10\\\" data-semantic-role=\\\"open\\\" data-semantic-type=\\\"fence\\\" style=\\\"margin-left: 0.056em; margin-right: 0.056em;\\\"><mjx-c></mjx-c></mjx-mo><mjx-mrow data-semantic-annotation=\\\"clearspeak:unit\\\" data-semantic-children=\\\"1,4,5\\\" data-semantic-content=\\\"6,7\\\" data-semantic- data-semantic-parent=\\\"10\\\" data-semantic-role=\\\"implicit\\\" data-semantic-type=\\\"infixop\\\"><mjx-mn data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"normal\\\" data-semantic- data-semantic-parent=\\\"8\\\" data-semantic-role=\\\"integer\\\" data-semantic-type=\\\"number\\\"><mjx-c></mjx-c></mjx-mn><mjx-mo data-semantic-added=\\\"true\\\" data-semantic- data-semantic-operator=\\\"infixop,\\\" data-semantic-parent=\\\"8\\\" data-semantic-role=\\\"multiplication\\\" data-semantic-type=\\\"operator\\\" style=\\\"margin-left: 0.056em; margin-right: 0.056em;\\\"><mjx-c></mjx-c></mjx-mo><mjx-mover data-semantic-children=\\\"2,3\\\" data-semantic- data-semantic-parent=\\\"8\\\" data-semantic-role=\\\"integer\\\" data-semantic-type=\\\"overscore\\\"><mjx-over style=\\\"padding-bottom: 0.105em; padding-left: 0.25em; margin-bottom: -0.544em;\\\"><mjx-mo data-semantic- data-semantic-parent=\\\"4\\\" data-semantic-role=\\\"overaccent\\\" data-semantic-type=\\\"operator\\\" style=\\\"width: 0px; margin-left: -0.25em;\\\"><mjx-c></mjx-c></mjx-mo></mjx-over><mjx-base><mjx-mn data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"normal\\\" data-semantic- data-semantic-parent=\\\"4\\\" data-semantic-role=\\\"integer\\\" data-semantic-type=\\\"number\\\"><mjx-c></mjx-c></mjx-mn></mjx-base></mjx-mover><mjx-mo data-semantic-added=\\\"true\\\" data-semantic- data-semantic-operator=\\\"infixop,\\\" data-semantic-parent=\\\"8\\\" data-semantic-role=\\\"multiplication\\\" data-semantic-type=\\\"operator\\\" style=\\\"margin-left: 0.056em; margin-right: 0.056em;\\\"><mjx-c></mjx-c></mjx-mo><mjx-mn data-semantic-annotation=\\\"general:basenumber;clearspeak:simple\\\" data-semantic-font=\\\"normal\\\" data-semantic- data-semantic-parent=\\\"8\\\" data-semantic-role=\\\"integer\\\" data-semantic-type=\\\"number\\\"><mjx-c></mjx-c><mjx-c></mjx-c></mjx-mn></mjx-mrow><mjx-mo data-semantic- data-semantic-operator=\\\"fenced\\\" data-semantic-parent=\\\"10\\\" data-semantic-role=\\\"close\\\" data-semantic-type=\\\"fence\\\" style=\\\"margin-left: 0.056em; margin-right: 0.056em;\\\"><mjx-c></mjx-c></mjx-mo></mjx-mrow></mjx-mrow></mjx-semantics></mjx-math><mjx-assistive-mml aria-hidden=\\\"true\\\" display=\\\"inline\\\" unselectable=\\\"on\\\"><math altimg=\\\"/cms/asset/06cd5669-e0c3-4afc-ae45-67afaba2a904/pssr202300443-math-0003.png\\\" xmlns=\\\"http://www.w3.org/1998/Math/MathML\\\"><semantics><mrow><mrow data-semantic-=\\\"\\\" data-semantic-children=\\\"8\\\" data-semantic-content=\\\"0,9\\\" data-semantic-role=\\\"leftright\\\" data-semantic-speech=\\\"left parenthesis 1 ModifyingAbove 1 With bar 02 right parenthesis\\\" data-semantic-type=\\\"fenced\\\"><mo data-semantic-=\\\"\\\" data-semantic-operator=\\\"fenced\\\" data-semantic-parent=\\\"10\\\" data-semantic-role=\\\"open\\\" data-semantic-type=\\\"fence\\\" stretchy=\\\"false\\\">(</mo><mrow data-semantic-=\\\"\\\" data-semantic-annotation=\\\"clearspeak:unit\\\" data-semantic-children=\\\"1,4,5\\\" data-semantic-content=\\\"6,7\\\" data-semantic-parent=\\\"10\\\" data-semantic-role=\\\"implicit\\\" data-semantic-type=\\\"infixop\\\"><mn data-semantic-=\\\"\\\" data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"normal\\\" data-semantic-parent=\\\"8\\\" data-semantic-role=\\\"integer\\\" data-semantic-type=\\\"number\\\">1</mn><mo data-semantic-=\\\"\\\" data-semantic-added=\\\"true\\\" data-semantic-operator=\\\"infixop,\\\" data-semantic-parent=\\\"8\\\" data-semantic-role=\\\"multiplication\\\" data-semantic-type=\\\"operator\\\"></mo><mover accent=\\\"true\\\" data-semantic-=\\\"\\\" data-semantic-children=\\\"2,3\\\" data-semantic-parent=\\\"8\\\" data-semantic-role=\\\"integer\\\" data-semantic-type=\\\"overscore\\\"><mn data-semantic-=\\\"\\\" data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"normal\\\" data-semantic-parent=\\\"4\\\" data-semantic-role=\\\"integer\\\" data-semantic-type=\\\"number\\\">1</mn><mo data-semantic-=\\\"\\\" data-semantic-parent=\\\"4\\\" data-semantic-role=\\\"overaccent\\\" data-semantic-type=\\\"operator\\\" stretchy=\\\"false\\\">¯</mo></mover><mo data-semantic-=\\\"\\\" data-semantic-added=\\\"true\\\" data-semantic-operator=\\\"infixop,\\\" data-semantic-parent=\\\"8\\\" data-semantic-role=\\\"multiplication\\\" data-semantic-type=\\\"operator\\\"></mo><mn data-semantic-=\\\"\\\" data-semantic-annotation=\\\"general:basenumber;clearspeak:simple\\\" data-semantic-font=\\\"normal\\\" data-semantic-parent=\\\"8\\\" data-semantic-role=\\\"integer\\\" data-semantic-type=\\\"number\\\">02</mn></mrow><mo data-semantic-=\\\"\\\" data-semantic-operator=\\\"fenced\\\" data-semantic-parent=\\\"10\\\" data-semantic-role=\\\"close\\\" data-semantic-type=\\\"fence\\\" stretchy=\\\"false\\\">)</mo></mrow></mrow>$\\\\left(\\\\right. 1 \\\\bar{1} 02 \\\\left.\\\\right)$</annotation></semantics></math></mjx-assistive-mml></mjx-container> substrate by reactive magnetron sputtering. X-ray diffraction (XRD) spectroscopy showed that the grown Al<sub>0.56</sub>Sc<sub>0.44</sub>N films are single-phased and a-plane oriented. The FWHM of the XRD rocking curve is only 0.4°, which is smaller than most of the reported values. The effects of normalized thickness of the piezoelectric layer, electrode materials and thickness on acoustic properties of the SAW resonators were investigated through the 3D finite element method equipped with the hierarchical cascading technique. A monotonically decreasing resonant frequency can be obtained with the mass loading of both the electrode metals. For the devices with a Pt electrode, it is observed that the electromechanical coupling coefficient (<mjx-container aria-label=\\\"k Subscript e f f Superscript 2\\\" ctxtmenu_counter=\\\"3\\\" ctxtmenu_oldtabindex=\\\"1\\\" jax=\\\"CHTML\\\" role=\\\"application\\\" sre-explorer- style=\\\"font-size: 103%; position: relative;\\\" tabindex=\\\"0\\\"><mjx-math aria-hidden=\\\"true\\\"><mjx-semantics><mjx-mrow><mjx-msubsup data-semantic-children=\\\"0,6,7\\\" data-semantic-collapsed=\\\"(9 (8 0 6) 7)\\\" data-semantic- data-semantic-role=\\\"latinletter\\\" data-semantic-speech=\\\"k Subscript e f f Superscript 2\\\" data-semantic-type=\\\"subsup\\\"><mjx-mi data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"italic\\\" data-semantic- data-semantic-parent=\\\"9\\\" data-semantic-role=\\\"latinletter\\\" data-semantic-type=\\\"identifier\\\"><mjx-c></mjx-c></mjx-mi><mjx-script style=\\\"vertical-align: -0.316em; margin-left: 0px;\\\"><mjx-mn data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"normal\\\" data-semantic- data-semantic-parent=\\\"9\\\" data-semantic-role=\\\"integer\\\" data-semantic-type=\\\"number\\\" size=\\\"s\\\"><mjx-c></mjx-c></mjx-mn><mjx-spacer style=\\\"margin-top: 0.18em;\\\"></mjx-spacer><mjx-mrow data-semantic-annotation=\\\"clearspeak:unit\\\" data-semantic-children=\\\"1,2,3\\\" data-semantic-content=\\\"4,5\\\" data-semantic- data-semantic-parent=\\\"9\\\" data-semantic-role=\\\"implicit\\\" data-semantic-type=\\\"infixop\\\" size=\\\"s\\\"><mjx-mi data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"italic\\\" data-semantic- data-semantic-parent=\\\"6\\\" data-semantic-role=\\\"latinletter\\\" data-semantic-type=\\\"identifier\\\"><mjx-c></mjx-c></mjx-mi><mjx-mo data-semantic-added=\\\"true\\\" data-semantic- data-semantic-operator=\\\"infixop,\\\" data-semantic-parent=\\\"6\\\" data-semantic-role=\\\"multiplication\\\" data-semantic-type=\\\"operator\\\"><mjx-c></mjx-c></mjx-mo><mjx-mi data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"italic\\\" data-semantic- data-semantic-parent=\\\"6\\\" data-semantic-role=\\\"latinletter\\\" data-semantic-type=\\\"identifier\\\"><mjx-c></mjx-c></mjx-mi><mjx-mo data-semantic-added=\\\"true\\\" data-semantic- data-semantic-operator=\\\"infixop,\\\" data-semantic-parent=\\\"6\\\" data-semantic-role=\\\"multiplication\\\" data-semantic-type=\\\"operator\\\"><mjx-c></mjx-c></mjx-mo><mjx-mi data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"italic\\\" data-semantic- data-semantic-parent=\\\"6\\\" data-semantic-role=\\\"latinletter\\\" data-semantic-type=\\\"identifier\\\"><mjx-c></mjx-c></mjx-mi></mjx-mrow></mjx-script></mjx-msubsup></mjx-mrow></mjx-semantics></mjx-math><mjx-assistive-mml aria-hidden=\\\"true\\\" display=\\\"inline\\\" unselectable=\\\"on\\\"><math altimg=\\\"/cms/asset/d675e832-4e47-4419-b9e6-935de917d37b/pssr202300443-math-0004.png\\\" xmlns=\\\"http://www.w3.org/1998/Math/MathML\\\"><semantics><mrow><msubsup data-semantic-=\\\"\\\" data-semantic-children=\\\"0,6,7\\\" data-semantic-collapsed=\\\"(9 (8 0 6) 7)\\\" data-semantic-role=\\\"latinletter\\\" data-semantic-speech=\\\"k Subscript e f f Superscript 2\\\" data-semantic-type=\\\"subsup\\\"><mi data-semantic-=\\\"\\\" data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"italic\\\" data-semantic-parent=\\\"9\\\" data-semantic-role=\\\"latinletter\\\" data-semantic-type=\\\"identifier\\\">k</mi><mrow data-semantic-=\\\"\\\" data-semantic-annotation=\\\"clearspeak:unit\\\" data-semantic-children=\\\"1,2,3\\\" data-semantic-content=\\\"4,5\\\" data-semantic-parent=\\\"9\\\" data-semantic-role=\\\"implicit\\\" data-semantic-type=\\\"infixop\\\"><mi data-semantic-=\\\"\\\" data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"italic\\\" data-semantic-parent=\\\"6\\\" data-semantic-role=\\\"latinletter\\\" data-semantic-type=\\\"identifier\\\">e</mi><mo data-semantic-=\\\"\\\" data-semantic-added=\\\"true\\\" data-semantic-operator=\\\"infixop,\\\" data-semantic-parent=\\\"6\\\" data-semantic-role=\\\"multiplication\\\" data-semantic-type=\\\"operator\\\"></mo><mi data-semantic-=\\\"\\\" data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"italic\\\" data-semantic-parent=\\\"6\\\" data-semantic-role=\\\"latinletter\\\" data-semantic-type=\\\"identifier\\\">f</mi><mo data-semantic-=\\\"\\\" data-semantic-added=\\\"true\\\" data-semantic-operator=\\\"infixop,\\\" data-semantic-parent=\\\"6\\\" data-semantic-role=\\\"multiplication\\\" data-semantic-type=\\\"operator\\\"></mo><mi data-semantic-=\\\"\\\" data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"italic\\\" data-semantic-parent=\\\"6\\\" data-semantic-role=\\\"latinletter\\\" data-semantic-type=\\\"identifier\\\">f</mi></mrow><mn data-semantic-=\\\"\\\" data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"normal\\\" data-semantic-parent=\\\"9\\\" data-semantic-role=\\\"integer\\\" data-semantic-type=\\\"number\\\">2</mn></msubsup></mrow>$k_{e f f}^{2}$</annotation></semantics></math></mjx-assistive-mml></mjx-container>) exhibits a nonlinear characteristic of first increasing and then decreasing with the increase of electrode thickness. SAW resonators with a nonpolar a-plane Al<sub>0.56</sub>Sc<sub>0.44</sub>N thin films were fabricated, showing an exceptionally high <mjx-container aria-label=\\\"k Subscript e f f Superscript 2\\\" ctxtmenu_counter=\\\"4\\\" ctxtmenu_oldtabindex=\\\"1\\\" jax=\\\"CHTML\\\" role=\\\"application\\\" sre-explorer- style=\\\"font-size: 103%; position: relative;\\\" tabindex=\\\"0\\\"><mjx-math aria-hidden=\\\"true\\\"><mjx-semantics><mjx-mrow><mjx-msubsup data-semantic-children=\\\"0,6,7\\\" data-semantic-collapsed=\\\"(9 (8 0 6) 7)\\\" data-semantic- data-semantic-role=\\\"latinletter\\\" data-semantic-speech=\\\"k Subscript e f f Superscript 2\\\" data-semantic-type=\\\"subsup\\\"><mjx-mi data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"italic\\\" data-semantic- data-semantic-parent=\\\"9\\\" data-semantic-role=\\\"latinletter\\\" data-semantic-type=\\\"identifier\\\"><mjx-c></mjx-c></mjx-mi><mjx-script style=\\\"vertical-align: -0.316em; margin-left: 0px;\\\"><mjx-mn data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"normal\\\" data-semantic- data-semantic-parent=\\\"9\\\" data-semantic-role=\\\"integer\\\" data-semantic-type=\\\"number\\\" size=\\\"s\\\"><mjx-c></mjx-c></mjx-mn><mjx-spacer style=\\\"margin-top: 0.18em;\\\"></mjx-spacer><mjx-mrow data-semantic-annotation=\\\"clearspeak:unit\\\" data-semantic-children=\\\"1,2,3\\\" data-semantic-content=\\\"4,5\\\" data-semantic- data-semantic-parent=\\\"9\\\" data-semantic-role=\\\"implicit\\\" data-semantic-type=\\\"infixop\\\" size=\\\"s\\\"><mjx-mi data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"italic\\\" data-semantic- data-semantic-parent=\\\"6\\\" data-semantic-role=\\\"latinletter\\\" data-semantic-type=\\\"identifier\\\"><mjx-c></mjx-c></mjx-mi><mjx-mo data-semantic-added=\\\"true\\\" data-semantic- data-semantic-operator=\\\"infixop,\\\" data-semantic-parent=\\\"6\\\" data-semantic-role=\\\"multiplication\\\" data-semantic-type=\\\"operator\\\"><mjx-c></mjx-c></mjx-mo><mjx-mi data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"italic\\\" data-semantic- data-semantic-parent=\\\"6\\\" data-semantic-role=\\\"latinletter\\\" data-semantic-type=\\\"identifier\\\"><mjx-c></mjx-c></mjx-mi><mjx-mo data-semantic-added=\\\"true\\\" data-semantic- data-semantic-operator=\\\"infixop,\\\" data-semantic-parent=\\\"6\\\" data-semantic-role=\\\"multiplication\\\" data-semantic-type=\\\"operator\\\"><mjx-c></mjx-c></mjx-mo><mjx-mi data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"italic\\\" data-semantic- data-semantic-parent=\\\"6\\\" data-semantic-role=\\\"latinletter\\\" data-semantic-type=\\\"identifier\\\"><mjx-c></mjx-c></mjx-mi></mjx-mrow></mjx-script></mjx-msubsup></mjx-mrow></mjx-semantics></mjx-math><mjx-assistive-mml aria-hidden=\\\"true\\\" display=\\\"inline\\\" unselectable=\\\"on\\\"><math altimg=\\\"/cms/asset/1e1ee0fc-558d-4380-bd04-b8e48ebea95b/pssr202300443-math-0005.png\\\" xmlns=\\\"http://www.w3.org/1998/Math/MathML\\\"><semantics><mrow><msubsup data-semantic-=\\\"\\\" data-semantic-children=\\\"0,6,7\\\" data-semantic-collapsed=\\\"(9 (8 0 6) 7)\\\" data-semantic-role=\\\"latinletter\\\" data-semantic-speech=\\\"k Subscript e f f Superscript 2\\\" data-semantic-type=\\\"subsup\\\"><mi data-semantic-=\\\"\\\" data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"italic\\\" data-semantic-parent=\\\"9\\\" data-semantic-role=\\\"latinletter\\\" data-semantic-type=\\\"identifier\\\">k</mi><mrow data-semantic-=\\\"\\\" data-semantic-annotation=\\\"clearspeak:unit\\\" data-semantic-children=\\\"1,2,3\\\" data-semantic-content=\\\"4,5\\\" data-semantic-parent=\\\"9\\\" data-semantic-role=\\\"implicit\\\" data-semantic-type=\\\"infixop\\\"><mi data-semantic-=\\\"\\\" data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"italic\\\" data-semantic-parent=\\\"6\\\" data-semantic-role=\\\"latinletter\\\" data-semantic-type=\\\"identifier\\\">e</mi><mo data-semantic-=\\\"\\\" data-semantic-added=\\\"true\\\" data-semantic-operator=\\\"infixop,\\\" data-semantic-parent=\\\"6\\\" data-semantic-role=\\\"multiplication\\\" data-semantic-type=\\\"operator\\\"></mo><mi data-semantic-=\\\"\\\" data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"italic\\\" data-semantic-parent=\\\"6\\\" data-semantic-role=\\\"latinletter\\\" data-semantic-type=\\\"identifier\\\">f</mi><mo data-semantic-=\\\"\\\" data-semantic-added=\\\"true\\\" data-semantic-operator=\\\"infixop,\\\" data-semantic-parent=\\\"6\\\" data-semantic-role=\\\"multiplication\\\" data-semantic-type=\\\"operator\\\"></mo><mi data-semantic-=\\\"\\\" data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"italic\\\" data-semantic-parent=\\\"6\\\" data-semantic-role=\\\"latinletter\\\" data-semantic-type=\\\"identifier\\\">f</mi></mrow><mn data-semantic-=\\\"\\\" data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"normal\\\" data-semantic-parent=\\\"9\\\" data-semantic-role=\\\"integer\\\" data-semantic-type=\\\"number\\\">2</mn></msubsup></mrow>$k_{e f f}^{2}$</annotation></semantics></math></mjx-assistive-mml></mjx-container> of 4.6%. This result demonstrates a significant potential of AlScN films with the a-plane orientation in RF application.\",\"PeriodicalId\":54619,\"journal\":{\"name\":\"Physica Status Solidi-Rapid Research Letters\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":2.5000,\"publicationDate\":\"2024-02-21\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Physica Status Solidi-Rapid Research Letters\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://doi.org/10.1002/pssr.202300443\",\"RegionNum\":4,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MATERIALS SCIENCE, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Physica Status Solidi-Rapid Research Letters","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1002/pssr.202300443","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATERIALS SCIENCE, MULTIDISCIPLINARY","Score":null,"Total":0}
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