Physical Review B最新文献

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Low thermal conductivity in2⁢𝐻-polytypeSn⁢Se2 2𝐻聚合型二氧化硅的低热导率
IF 3.7 2区 物理与天体物理
Physical Review B Pub Date : 2024-11-05 DOI: 10.1103/physrevb.110.195404
Manab Mandal, Nikhilesh Maity, Prahalad Kanti Barman, Rabindra Biswas, Sourav Mondal, Varun Raghunathan, Abhishek K. Singh, Pramoda K. Nayak, Kanikrishnan Sethupathi
{"title":"Low thermal conductivity in2⁢𝐻-polytypeSn⁢Se2","authors":"Manab Mandal, Nikhilesh Maity, Prahalad Kanti Barman, Rabindra Biswas, Sourav Mondal, Varun Raghunathan, Abhishek K. Singh, Pramoda K. Nayak, Kanikrishnan Sethupathi","doi":"10.1103/physrevb.110.195404","DOIUrl":"https://doi.org/10.1103/physrevb.110.195404","url":null,"abstract":"Tin diselenide (<mjx-container ctxtmenu_counter=\"53\" ctxtmenu_oldtabindex=\"1\" jax=\"CHTML\" overflow=\"linebreak\" role=\"tree\" sre-explorer- style=\"font-size: 100.7%;\" tabindex=\"0\"><mjx-math data-semantic-structure=\"(5 0 4 (3 1 2))\"><mjx-mrow data-semantic-annotation=\"clearspeak:unit\" data-semantic-children=\"0,3\" data-semantic-content=\"4\" data-semantic- data-semantic-owns=\"0 4 3\" data-semantic-role=\"implicit\" data-semantic-speech=\"upper S n upper S e 2\" data-semantic-type=\"infixop\"><mjx-mi data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"5\" data-semantic-role=\"unknown\" data-semantic-type=\"identifier\"><mjx-c noic=\"true\" style=\"padding-top: 0.669em;\">S</mjx-c><mjx-c style=\"padding-top: 0.669em;\">n</mjx-c></mjx-mi><mjx-mo data-semantic-added=\"true\" data-semantic- data-semantic-operator=\"infixop,⁢\" data-semantic-parent=\"5\" data-semantic-role=\"multiplication\" data-semantic-type=\"operator\"><mjx-c>⁢</mjx-c></mjx-mo><mjx-msub data-semantic-children=\"1,2\" data-semantic- data-semantic-owns=\"1 2\" data-semantic-parent=\"5\" data-semantic-role=\"unknown\" data-semantic-type=\"subscript\" space=\"2\"><mjx-mi data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"3\" data-semantic-role=\"unknown\" data-semantic-type=\"identifier\"><mjx-c noic=\"true\" style=\"padding-top: 0.669em;\">S</mjx-c><mjx-c style=\"padding-top: 0.669em;\">e</mjx-c></mjx-mi><mjx-script style=\"vertical-align: -0.15em;\"><mjx-mn data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"3\" data-semantic-role=\"integer\" data-semantic-type=\"number\" size=\"s\"><mjx-c>2</mjx-c></mjx-mn></mjx-script></mjx-msub></mjx-mrow></mjx-math></mjx-container>) is a promising semiconducting material that exhibits diverse potential applications, including nanoscale electronics, resistive memories, sensors, and thermoelectric devices. Although <mjx-container ctxtmenu_counter=\"54\" ctxtmenu_oldtabindex=\"1\" jax=\"CHTML\" overflow=\"linebreak\" role=\"tree\" sre-explorer- style=\"font-size: 100.7%;\" tabindex=\"0\"><mjx-math data-semantic-structure=\"(5 0 4 (3 1 2))\"><mjx-mrow data-semantic-annotation=\"clearspeak:unit\" data-semantic-children=\"0,3\" data-semantic-content=\"4\" data-semantic- data-semantic-owns=\"0 4 3\" data-semantic-role=\"implicit\" data-semantic-speech=\"upper S n upper S e 2\" data-semantic-type=\"infixop\"><mjx-mi data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"5\" data-semantic-role=\"unknown\" data-semantic-type=\"identifier\"><mjx-c noic=\"true\" style=\"padding-top: 0.669em;\">S</mjx-c><mjx-c style=\"padding-top: 0.669em;\">n</mjx-c></mjx-mi><mjx-mo data-semantic-added=\"true\" data-semantic- data-semantic-operator=\"infixop,⁢\" data-semantic-parent=\"5\" data-semantic-role=\"multiplication\" data-semantic-type=\"operator\"><mjx-c>⁢</mjx-c></mjx-mo><mjx-msub data-semantic-children=\"1,2\" data-semantic- data-semantic-owns=\"1 2\" data-semantic-parent=\"5\" data-semantic-role=\"unknown\" data-semantic-type=\"subscript\" space=\"2\"><mjx-mi data-semantic-font=\"normal\" data-sema","PeriodicalId":20082,"journal":{"name":"Physical Review B","volume":null,"pages":null},"PeriodicalIF":3.7,"publicationDate":"2024-11-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142588431","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Principles of reflection and transmission for two-dimensional polaritons 二维极化子的反射和透射原理
IF 3.7 2区 物理与天体物理
Physical Review B Pub Date : 2024-11-05 DOI: 10.1103/physrevb.110.205408
Wonjae Choi, Q-Han Park
{"title":"Principles of reflection and transmission for two-dimensional polaritons","authors":"Wonjae Choi, Q-Han Park","doi":"10.1103/physrevb.110.205408","DOIUrl":"https://doi.org/10.1103/physrevb.110.205408","url":null,"abstract":"Understanding polariton behavior at the boundary of two-dimensional (2D) materials is a critical yet unresolved issue. Here, we provide an analytical description of the reflection and transmission coefficients of polaritons under oblique incidence, establishing a Fresnel formula tailored to polaritons. We demonstrate that boundary-scattered fields, whether evanescent or radiative, couple with polaritons, inducing phase shifts in reflected and transmitted polaritons and changing the momentum of polaritons in a direction perpendicular to the boundary by an imaginary amount. These polariton dynamics at the boundary lead to various features, including a Brewster-like effect, the Goos-Hänchen effect without total internal reflection, and the cross-polarization coupling of polaritons. Our analytical understanding of polariton dynamics could be applied to the development of future polaritonic devices utilizing 2D materials.","PeriodicalId":20082,"journal":{"name":"Physical Review B","volume":null,"pages":null},"PeriodicalIF":3.7,"publicationDate":"2024-11-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142588450","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Berezinskii-Kosterlitz-Thouless transition and anomalous metallic phase in a hybrid Josephson junction array 混合约瑟夫森结阵列中的别列津斯基-科斯特利茨-无穷过渡和反常金属相
IF 3.7 2区 物理与天体物理
Physical Review B Pub Date : 2024-11-05 DOI: 10.1103/physrevb.110.l180502
C. G. L. Bøttcher, F. Nichele, J. Shabani, C. J. Palmstrøm, C. M. Marcus
{"title":"Berezinskii-Kosterlitz-Thouless transition and anomalous metallic phase in a hybrid Josephson junction array","authors":"C. G. L. Bøttcher, F. Nichele, J. Shabani, C. J. Palmstrøm, C. M. Marcus","doi":"10.1103/physrevb.110.l180502","DOIUrl":"https://doi.org/10.1103/physrevb.110.l180502","url":null,"abstract":"We investigate the Berezinskii-Kosterlitz-Thouless (BKT) transition in a semiconductor-superconductor two-dimensional Josephson junction array. Tuned by an electrostatic top gate, the system exhibits separate superconducting (S), anomalous metal (M*), and insulating (I) phases, bordered by separatrices of the temperature-dependent sheet resistance <mjx-container ctxtmenu_counter=\"55\" ctxtmenu_oldtabindex=\"1\" jax=\"CHTML\" overflow=\"linebreak\" role=\"tree\" sre-explorer- style=\"font-size: 100.7%;\" tabindex=\"0\"><mjx-math data-semantic-structure=\"(2 0 1)\"><mjx-msub data-semantic-children=\"0,1\" data-semantic- data-semantic-owns=\"0 1\" data-semantic-role=\"latinletter\" data-semantic-speech=\"upper R Subscript s\" data-semantic-type=\"subscript\"><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic- data-semantic-parent=\"2\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\"><mjx-c>𝑅</mjx-c></mjx-mi><mjx-script style=\"vertical-align: -0.15em;\"><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic- data-semantic-parent=\"2\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\" size=\"s\"><mjx-c>𝑠</mjx-c></mjx-mi></mjx-script></mjx-msub></mjx-math></mjx-container>. We find that the gate-dependent BKT transition temperature falls to zero at the S-M* boundary, suggesting incomplete vortex-antivortex pairing in the M* phase. In the S phase, <mjx-container ctxtmenu_counter=\"56\" ctxtmenu_oldtabindex=\"1\" jax=\"CHTML\" overflow=\"linebreak\" role=\"tree\" sre-explorer- style=\"font-size: 100.7%;\" tabindex=\"0\"><mjx-math data-semantic-structure=\"(2 0 1)\"><mjx-msub data-semantic-children=\"0,1\" data-semantic- data-semantic-owns=\"0 1\" data-semantic-role=\"latinletter\" data-semantic-speech=\"upper R Subscript s\" data-semantic-type=\"subscript\"><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic- data-semantic-parent=\"2\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\"><mjx-c>𝑅</mjx-c></mjx-mi><mjx-script style=\"vertical-align: -0.15em;\"><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic- data-semantic-parent=\"2\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\" size=\"s\"><mjx-c>𝑠</mjx-c></mjx-mi></mjx-script></mjx-msub></mjx-math></mjx-container> is roughly proportional to the perpendicular magnetic field at the BKT transition, as expected, while in the M* phase, <mjx-container ctxtmenu_counter=\"57\" ctxtmenu_oldtabindex=\"1\" jax=\"CHTML\" overflow=\"linebreak\" role=\"tree\" sre-explorer- style=\"font-size: 100.7%;\" tabindex=\"0\"><mjx-math data-semantic-structure=\"(2 0 1)\"><mjx-msub data-semantic-children=\"0,1\" data-semantic- data-semantic-owns=\"0 1\" data-semantic-role=\"latinletter\" data-semantic-speech=\"upper R Subscript s\" data-semantic-type=\"subscript\"><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic- data-semantic-parent=\"2\" ","PeriodicalId":20082,"journal":{"name":"Physical Review B","volume":null,"pages":null},"PeriodicalIF":3.7,"publicationDate":"2024-11-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142588452","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Colossal magnetoresistance and Fermi surface topology in the layered Zintl-phase compoundYbA⁢l2⁢S⁢i2 层状 Zintl 相化合物 YbAl2Si2 中的巨大磁阻和费米面拓扑结构
IF 3.7 2区 物理与天体物理
Physical Review B Pub Date : 2024-11-05 DOI: 10.1103/physrevb.110.174408
Fang Tang, Yang Chen, Xunqing Yin, Weiyao Zhao, Lei Zhang, Zhida Han, Renkui Zheng, Xiaoming Zhang, Yong Fang
{"title":"Colossal magnetoresistance and Fermi surface topology in the layered Zintl-phase compoundYbA⁢l2⁢S⁢i2","authors":"Fang Tang, Yang Chen, Xunqing Yin, Weiyao Zhao, Lei Zhang, Zhida Han, Renkui Zheng, Xiaoming Zhang, Yong Fang","doi":"10.1103/physrevb.110.174408","DOIUrl":"https://doi.org/10.1103/physrevb.110.174408","url":null,"abstract":"Considerable attention has been devoted to <mjx-container ctxtmenu_counter=\"74\" ctxtmenu_oldtabindex=\"1\" jax=\"CHTML\" overflow=\"linebreak\" role=\"tree\" sre-explorer- style=\"font-size: 100.7%;\" tabindex=\"0\"><mjx-math data-semantic-structure=\"(11 0 8 (3 1 2) 9 4 10 (7 5 6))\"><mjx-mrow data-semantic-annotation=\"clearspeak:unit\" data-semantic-children=\"0,3,4,7\" data-semantic-content=\"8,9,10\" data-semantic- data-semantic-owns=\"0 8 3 9 4 10 7\" data-semantic-role=\"implicit\" data-semantic-speech=\"upper C a upper A normal l 2 normal upper S normal i 2\" data-semantic-type=\"infixop\"><mjx-mi data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"11\" data-semantic-role=\"unknown\" data-semantic-type=\"identifier\"><mjx-c noic=\"true\" style=\"padding-top: 0.669em;\">C</mjx-c><mjx-c noic=\"true\" style=\"padding-top: 0.669em;\">a</mjx-c><mjx-c style=\"padding-top: 0.669em;\">A</mjx-c></mjx-mi><mjx-mo data-semantic-added=\"true\" data-semantic- data-semantic-operator=\"infixop,⁢\" data-semantic-parent=\"11\" data-semantic-role=\"multiplication\" data-semantic-type=\"operator\"><mjx-c>⁢</mjx-c></mjx-mo><mjx-msub data-semantic-children=\"1,2\" data-semantic- data-semantic-owns=\"1 2\" data-semantic-parent=\"11\" data-semantic-role=\"latinletter\" data-semantic-type=\"subscript\" space=\"2\"><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"3\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\"><mjx-c>l</mjx-c></mjx-mi><mjx-script style=\"vertical-align: -0.15em;\"><mjx-mn data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"3\" data-semantic-role=\"integer\" data-semantic-type=\"number\" size=\"s\"><mjx-c>2</mjx-c></mjx-mn></mjx-script></mjx-msub><mjx-mo data-semantic-added=\"true\" data-semantic- data-semantic-operator=\"infixop,⁢\" data-semantic-parent=\"11\" data-semantic-role=\"multiplication\" data-semantic-type=\"operator\"><mjx-c>⁢</mjx-c></mjx-mo><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"11\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\"><mjx-c>S</mjx-c></mjx-mi><mjx-mo data-semantic-added=\"true\" data-semantic- data-semantic-operator=\"infixop,⁢\" data-semantic-parent=\"11\" data-semantic-role=\"multiplication\" data-semantic-type=\"operator\"><mjx-c>⁢</mjx-c></mjx-mo><mjx-msub data-semantic-children=\"5,6\" data-semantic- data-semantic-owns=\"5 6\" data-semantic-parent=\"11\" data-semantic-role=\"latinletter\" data-semantic-type=\"subscript\"><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"7\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\"><mjx-c>i</mjx-c></mjx-mi><mjx-script style=\"vertical-align: -0.15em;\"><mjx-mn data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"7\" data-semantic-role=\"integer\" data-semantic-type=\"number\" size=\"s\"><mjx-c>2</mjx","PeriodicalId":20082,"journal":{"name":"Physical Review B","volume":null,"pages":null},"PeriodicalIF":3.7,"publicationDate":"2024-11-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142588419","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Covariant Jacobi-Legendre expansion for total energy calculations within the projector augmented wave formalism 在投影仪增强波形式主义中进行总能量计算的协变雅各比-勒根德扩张
IF 3.7 2区 物理与天体物理
Physical Review B Pub Date : 2024-11-05 DOI: 10.1103/physrevb.110.184106
Bruno Focassio, Michelangelo Domina, Urvesh Patil, Adalberto Fazzio, Stefano Sanvito
{"title":"Covariant Jacobi-Legendre expansion for total energy calculations within the projector augmented wave formalism","authors":"Bruno Focassio, Michelangelo Domina, Urvesh Patil, Adalberto Fazzio, Stefano Sanvito","doi":"10.1103/physrevb.110.184106","DOIUrl":"https://doi.org/10.1103/physrevb.110.184106","url":null,"abstract":"Machine-learning models can be trained to predict the converged electron charge density of a density functional theory (DFT) calculation. In general, the value of the density at a given point in space is invariant under global translations and rotations having that point as a center. Hence, one can construct locally invariant machine-learning density predictors. However, the widely used projector augmented wave (PAW) implementation of DFT requires the evaluation of the one-center augmentation contributions that are not rotationally invariant. Building on our recently proposed Jacobi-Legendre charge-density scheme, we construct a covariant Jacobi-Legendre model capable of predicting the local occupancies needed to compose the augmentation charge density. Our formalism is then applied to the prediction of the energy barrier for the 1H-to-1T phase transition of two-dimensional <mjx-container ctxtmenu_counter=\"7\" ctxtmenu_oldtabindex=\"1\" jax=\"CHTML\" overflow=\"linebreak\" role=\"tree\" sre-explorer- style=\"font-size: 100.7%;\" tabindex=\"0\"><mjx-math data-semantic-structure=\"(2 0 1)\"><mjx-msub data-semantic-children=\"0,1\" data-semantic- data-semantic-owns=\"0 1\" data-semantic-role=\"unknown\" data-semantic-speech=\"upper M o upper S 2\" data-semantic-type=\"subscript\"><mjx-mi data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"2\" data-semantic-role=\"unknown\" data-semantic-type=\"identifier\"><mjx-c noic=\"true\" style=\"padding-top: 0.669em;\">M</mjx-c><mjx-c noic=\"true\" style=\"padding-top: 0.669em;\">o</mjx-c><mjx-c style=\"padding-top: 0.669em;\">S</mjx-c></mjx-mi><mjx-script style=\"vertical-align: -0.15em;\"><mjx-mn data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"2\" data-semantic-role=\"integer\" data-semantic-type=\"number\" size=\"s\"><mjx-c>2</mjx-c></mjx-mn></mjx-script></mjx-msub></mjx-math></mjx-container>. With extremely modest training, the model is capable of performing a non-self-consistent nudged elastic band calculation at virtually the same accuracy as a fully DFT-converged one, thus saving thousands of self-consistent DFT steps. Furthermore, at variance with machine-learning force fields, the charge density is here available for any nudged elastic band image, so that we can trace the evolution of the electronic structure across the phase transition.","PeriodicalId":20082,"journal":{"name":"Physical Review B","volume":null,"pages":null},"PeriodicalIF":3.7,"publicationDate":"2024-11-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142588423","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Hyperbolic fractional Chern insulators 双曲分数切尔绝缘体
IF 3.7 2区 物理与天体物理
Physical Review B Pub Date : 2024-11-05 DOI: 10.1103/physrevb.110.195113
Ai-Lei He, Lu Qi, Yongjun Liu, Yi-Fei Wang
{"title":"Hyperbolic fractional Chern insulators","authors":"Ai-Lei He, Lu Qi, Yongjun Liu, Yi-Fei Wang","doi":"10.1103/physrevb.110.195113","DOIUrl":"https://doi.org/10.1103/physrevb.110.195113","url":null,"abstract":"Fractional Chern insulators (FCIs) have attracted intensive attention for the realization of fractional quantum Hall states in the absence of an external magnetic field. Most FCIs have been proposed on two-dimensional (2D) Euclidean lattice models with various boundary conditions. In this work, we investigate hyperbolic FCIs which are constructed in hyperbolic geometry with constant negative curvature. Through the studies on hyperbolic analogs of kagome lattices with hard-core bosons loaded into topological flat bands, we find convincing numerical evidences of two types of &lt;mjx-container ctxtmenu_counter=\"70\" ctxtmenu_oldtabindex=\"1\" jax=\"CHTML\" overflow=\"linebreak\" role=\"tree\" sre-explorer- style=\"font-size: 100.7%;\" tabindex=\"0\"&gt;&lt;mjx-math data-semantic-structure=\"(6 0 1 (5 2 3 4))\"&gt;&lt;mjx-mrow data-semantic-children=\"0,5\" data-semantic-content=\"1\" data-semantic- data-semantic-owns=\"0 1 5\" data-semantic-role=\"equality\" data-semantic-speech=\"nu equals 1 divided by 2\" data-semantic-type=\"relseq\"&gt;&lt;mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic- data-semantic-parent=\"6\" data-semantic-role=\"greekletter\" data-semantic-type=\"identifier\"&gt;&lt;mjx-c&gt;𝜈&lt;/mjx-c&gt;&lt;/mjx-mi&gt;&lt;mjx-mo data-semantic- data-semantic-operator=\"relseq,=\" data-semantic-parent=\"6\" data-semantic-role=\"equality\" data-semantic-type=\"relation\" space=\"4\"&gt;&lt;mjx-c&gt;=&lt;/mjx-c&gt;&lt;/mjx-mo&gt;&lt;mjx-mrow data-semantic-added=\"true\" data-semantic-children=\"2,4\" data-semantic-content=\"3\" data-semantic- data-semantic-owns=\"2 3 4\" data-semantic-parent=\"6\" data-semantic-role=\"division\" data-semantic-type=\"infixop\" space=\"4\"&gt;&lt;mjx-mn data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"5\" data-semantic-role=\"integer\" data-semantic-type=\"number\"&gt;&lt;mjx-c&gt;1&lt;/mjx-c&gt;&lt;/mjx-mn&gt;&lt;mjx-mo data-semantic- data-semantic-operator=\"infixop,/\" data-semantic-parent=\"5\" data-semantic-role=\"division\" data-semantic-type=\"operator\"&gt;&lt;mjx-c&gt;/&lt;/mjx-c&gt;&lt;/mjx-mo&gt;&lt;mjx-mn data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"5\" data-semantic-role=\"integer\" data-semantic-type=\"number\"&gt;&lt;mjx-c&gt;2&lt;/mjx-c&gt;&lt;/mjx-mn&gt;&lt;/mjx-mrow&gt;&lt;/mjx-mrow&gt;&lt;/mjx-math&gt;&lt;/mjx-container&gt; FCI states, i.e., conventional and unconventional FCIs. Multiple branches of edge excitations and geometry-dependent wave functions for both conventional and unconventional &lt;mjx-container ctxtmenu_counter=\"71\" ctxtmenu_oldtabindex=\"1\" jax=\"CHTML\" overflow=\"linebreak\" role=\"tree\" sre-explorer- style=\"font-size: 100.7%;\" tabindex=\"0\"&gt;&lt;mjx-math data-semantic-structure=\"(6 0 1 (5 2 3 4))\"&gt;&lt;mjx-mrow data-semantic-children=\"0,5\" data-semantic-content=\"1\" data-semantic- data-semantic-owns=\"0 1 5\" data-semantic-role=\"equality\" data-semantic-speech=\"nu equals 1 divided by 2\" data-semantic-type=\"relseq\"&gt;&lt;mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic- data-semantic-parent=\"6\" data-semantic-role=\"greeklett","PeriodicalId":20082,"journal":{"name":"Physical Review B","volume":null,"pages":null},"PeriodicalIF":3.7,"publicationDate":"2024-11-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142588427","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Structural, elastic, and electronic properties of cubic zinc-blendeIn𝑥⁢Ga1−𝑥⁢Nalloys 立方锌-蓝晶𝑥Ga1-𝑥合金的结构、弹性和电子特性
IF 3.7 2区 物理与天体物理
Physical Review B Pub Date : 2024-11-05 DOI: 10.1103/physrevb.110.195201
Jan M. Waack, Nils A. Schäfer, Michael Czerner, Christian Heiliger
{"title":"Structural, elastic, and electronic properties of cubic zinc-blendeIn𝑥⁢Ga1−𝑥⁢Nalloys","authors":"Jan M. Waack, Nils A. Schäfer, Michael Czerner, Christian Heiliger","doi":"10.1103/physrevb.110.195201","DOIUrl":"https://doi.org/10.1103/physrevb.110.195201","url":null,"abstract":"The cubic phase of the ternary &lt;mjx-container ctxtmenu_counter=\"26\" ctxtmenu_oldtabindex=\"1\" jax=\"CHTML\" overflow=\"linebreak\" role=\"tree\" sre-explorer- style=\"font-size: 100.7%;\" tabindex=\"0\"&gt;&lt;mjx-math data-semantic-structure=\"(12 (2 0 1) 10 (8 3 (7 4 5 6)) 11 9)\"&gt;&lt;mjx-mrow data-semantic-annotation=\"clearspeak:unit\" data-semantic-children=\"2,8,9\" data-semantic-content=\"10,11\" data-semantic- data-semantic-owns=\"2 10 8 11 9\" data-semantic-role=\"implicit\" data-semantic-speech=\"upper I n Subscript x Baseline upper G a Subscript 1 minus x Baseline normal upper N\" data-semantic-type=\"infixop\"&gt;&lt;mjx-msub data-semantic-children=\"0,1\" data-semantic- data-semantic-owns=\"0 1\" data-semantic-parent=\"12\" data-semantic-role=\"unknown\" data-semantic-type=\"subscript\"&gt;&lt;mjx-mi data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"2\" data-semantic-role=\"unknown\" data-semantic-type=\"identifier\"&gt;&lt;mjx-c noic=\"true\" style=\"padding-top: 0.657em;\"&gt;I&lt;/mjx-c&gt;&lt;mjx-c style=\"padding-top: 0.657em;\"&gt;n&lt;/mjx-c&gt;&lt;/mjx-mi&gt;&lt;mjx-script style=\"vertical-align: -0.15em;\"&gt;&lt;mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic- data-semantic-parent=\"2\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\" size=\"s\"&gt;&lt;mjx-c&gt;𝑥&lt;/mjx-c&gt;&lt;/mjx-mi&gt;&lt;/mjx-script&gt;&lt;/mjx-msub&gt;&lt;mjx-mo data-semantic-added=\"true\" data-semantic- data-semantic-operator=\"infixop,⁢\" data-semantic-parent=\"12\" data-semantic-role=\"multiplication\" data-semantic-type=\"operator\"&gt;&lt;mjx-c&gt;⁢&lt;/mjx-c&gt;&lt;/mjx-mo&gt;&lt;mjx-msub data-semantic-children=\"3,7\" data-semantic- data-semantic-owns=\"3 7\" data-semantic-parent=\"12\" data-semantic-role=\"unknown\" data-semantic-type=\"subscript\" space=\"2\"&gt;&lt;mjx-mi data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"8\" data-semantic-role=\"unknown\" data-semantic-type=\"identifier\"&gt;&lt;mjx-c noic=\"true\" style=\"padding-top: 0.669em;\"&gt;G&lt;/mjx-c&gt;&lt;mjx-c style=\"padding-top: 0.669em;\"&gt;a&lt;/mjx-c&gt;&lt;/mjx-mi&gt;&lt;mjx-script style=\"vertical-align: -0.15em;\"&gt;&lt;mjx-mrow data-semantic-children=\"4,6\" data-semantic-content=\"5\" data-semantic- data-semantic-owns=\"4 5 6\" data-semantic-parent=\"8\" data-semantic-role=\"subtraction\" data-semantic-type=\"infixop\" size=\"s\"&gt;&lt;mjx-mn data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"7\" data-semantic-role=\"integer\" data-semantic-type=\"number\"&gt;&lt;mjx-c&gt;1&lt;/mjx-c&gt;&lt;/mjx-mn&gt;&lt;mjx-mo data-semantic- data-semantic-operator=\"infixop,−\" data-semantic-parent=\"7\" data-semantic-role=\"subtraction\" data-semantic-type=\"operator\"&gt;&lt;mjx-c&gt;−&lt;/mjx-c&gt;&lt;/mjx-mo&gt;&lt;mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic- data-semantic-parent=\"7\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\"&gt;&lt;mjx-c&gt;𝑥&lt;/mjx-c&gt;&lt;/mjx-mi&gt;&lt;/mjx-mrow&gt;&lt;/mjx-script&gt;&lt;/mjx-msub&gt;&lt;mjx-mo data-semantic-added=\"true\" data-semantic- data-semantic-operator=\"infixop,⁢\" data-semantic-parent=\"12\" data-semantic-role=\"multiplication\" data-semantic-type=\"operator\"&gt;&lt;mjx-c&gt;⁢&lt;/mjx-c&gt;&lt;/mjx-mo&gt;&lt;mj","PeriodicalId":20082,"journal":{"name":"Physical Review B","volume":null,"pages":null},"PeriodicalIF":3.7,"publicationDate":"2024-11-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142588428","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Gapless deconfined phase in aℤ𝑁-symmetric Hamiltonian created in a cold-atom setup 在冷原子装置中创建的ℤ𝑁对称哈密顿中的无间隙去约束相
IF 3.7 2区 物理与天体物理
Physical Review B Pub Date : 2024-11-05 DOI: 10.1103/physrevb.110.195114
Mykhailo V. Rakov, Luca Tagliacozzo, Maciej Lewenstein, Jakub Zakrzewski, Titas Chanda
{"title":"Gapless deconfined phase in aℤ𝑁-symmetric Hamiltonian created in a cold-atom setup","authors":"Mykhailo V. Rakov, Luca Tagliacozzo, Maciej Lewenstein, Jakub Zakrzewski, Titas Chanda","doi":"10.1103/physrevb.110.195114","DOIUrl":"https://doi.org/10.1103/physrevb.110.195114","url":null,"abstract":"We investigate a quasi-two-dimensional system consisting of two species of alkali atoms confined in a specific optical lattice potential [&lt;span&gt;Phys. Rev. A&lt;/span&gt; &lt;b&gt;95&lt;/b&gt;, 053608 (2017)]. In the low-energy regime, this system is governed by a unique &lt;mjx-container ctxtmenu_counter=\"70\" ctxtmenu_oldtabindex=\"1\" jax=\"CHTML\" overflow=\"linebreak\" role=\"tree\" sre-explorer- style=\"font-size: 100.7%;\" tabindex=\"0\"&gt;&lt;mjx-math data-semantic-structure=\"(2 0 1)\"&gt;&lt;mjx-msub data-semantic-children=\"0,1\" data-semantic- data-semantic-owns=\"0 1\" data-semantic-role=\"numbersetletter\" data-semantic-speech=\"double struck upper Z Subscript upper N\" data-semantic-type=\"subscript\"&gt;&lt;mjx-mi data-semantic-font=\"double-struck\" data-semantic- data-semantic-parent=\"2\" data-semantic-role=\"numbersetletter\" data-semantic-type=\"identifier\"&gt;&lt;mjx-c&gt;ℤ&lt;/mjx-c&gt;&lt;/mjx-mi&gt;&lt;mjx-script style=\"vertical-align: -0.15em;\"&gt;&lt;mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic- data-semantic-parent=\"2\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\" size=\"s\"&gt;&lt;mjx-c&gt;𝑁&lt;/mjx-c&gt;&lt;/mjx-mi&gt;&lt;/mjx-script&gt;&lt;/mjx-msub&gt;&lt;/mjx-math&gt;&lt;/mjx-container&gt; gauge theory, where field theory arguments have suggested that it may exhibit two exotic gapless deconfined phases, namely a dipolar liquid phase and a Bose liquid phase, along with two gapped (confined and deconfined) phases. We address these predictions numerically by using large-scale density matrix renormalization group simulations. Our findings provide conclusive evidence for the existence of a gapless Bose liquid phase for &lt;mjx-container ctxtmenu_counter=\"71\" ctxtmenu_oldtabindex=\"1\" jax=\"CHTML\" overflow=\"linebreak\" role=\"tree\" sre-explorer- style=\"font-size: 100.7%;\" tabindex=\"0\"&gt;&lt;mjx-math data-semantic-structure=\"(3 0 1 2)\"&gt;&lt;mjx-mrow data-semantic-children=\"0,2\" data-semantic-content=\"1\" data-semantic- data-semantic-owns=\"0 1 2\" data-semantic-role=\"inequality\" data-semantic-speech=\"upper N greater than or equals 7\" data-semantic-type=\"relseq\"&gt;&lt;mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic- data-semantic-parent=\"3\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\"&gt;&lt;mjx-c&gt;𝑁&lt;/mjx-c&gt;&lt;/mjx-mi&gt;&lt;mjx-mo data-semantic- data-semantic-operator=\"relseq,≥\" data-semantic-parent=\"3\" data-semantic-role=\"inequality\" data-semantic-type=\"relation\" space=\"4\"&gt;&lt;mjx-c&gt;≥&lt;/mjx-c&gt;&lt;/mjx-mo&gt;&lt;mjx-mn data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"3\" data-semantic-role=\"integer\" data-semantic-type=\"number\" space=\"4\"&gt;&lt;mjx-c&gt;7&lt;/mjx-c&gt;&lt;/mjx-mn&gt;&lt;/mjx-mrow&gt;&lt;/mjx-math&gt;&lt;/mjx-container&gt;. We demonstrate that this gapless phase shares the same critical properties as one-dimensional critical phases, resembling weakly coupled chains of Luttinger liquids. In the range of ladder and cylinder geometries and &lt;mjx-container ctxtmenu_counter=\"72\" ctxtmenu_oldtabindex=\"1\" jax=\"CHTML\" overflow=\"linebreak\" role=\"tree\" sre-ex","PeriodicalId":20082,"journal":{"name":"Physical Review B","volume":null,"pages":null},"PeriodicalIF":3.7,"publicationDate":"2024-11-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142588430","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
High-field NMR study on the topologically nontrivial 1/3 magnetization plateau state in dopedNa2⁢Cu3⁢Ge4−𝑥⁢Si𝑥⁢O12 对掺杂 Na2Cu3Ge4-𝑥Si𝑥O12 中拓扑非难 1/3 磁化高原态的高场核磁共振研究
IF 3.7 2区 物理与天体物理
Physical Review B Pub Date : 2024-11-05 DOI: 10.1103/physrevb.110.l201102
Yuyan Han, Bocheng Yu, Zan Du, Langsheng Ling, Lei Zhang, Wei Tong, Chuanying Xi, Jinglei Zhang, Tian Shang, Li Pi, Long Ma
{"title":"High-field NMR study on the topologically nontrivial 1/3 magnetization plateau state in dopedNa2⁢Cu3⁢Ge4−𝑥⁢Si𝑥⁢O12","authors":"Yuyan Han, Bocheng Yu, Zan Du, Langsheng Ling, Lei Zhang, Wei Tong, Chuanying Xi, Jinglei Zhang, Tian Shang, Li Pi, Long Ma","doi":"10.1103/physrevb.110.l201102","DOIUrl":"https://doi.org/10.1103/physrevb.110.l201102","url":null,"abstract":"The spin-1/2 trimer system &lt;mjx-container ctxtmenu_counter=\"35\" ctxtmenu_oldtabindex=\"1\" jax=\"CHTML\" overflow=\"linebreak\" role=\"tree\" sre-explorer- style=\"font-size: 100.7%;\" tabindex=\"0\"&gt;&lt;mjx-math data-semantic-structure=\"(15 (2 0 1) 12 (5 3 4) 13 (8 6 7) 14 (11 9 10))\"&gt;&lt;mjx-mrow data-semantic-annotation=\"clearspeak:unit\" data-semantic-children=\"2,5,8,11\" data-semantic-content=\"12,13,14\" data-semantic- data-semantic-owns=\"2 12 5 13 8 14 11\" data-semantic-role=\"implicit\" data-semantic-speech=\"upper N a 2 upper C u 3 upper G e 4 normal upper O 12\" data-semantic-type=\"infixop\"&gt;&lt;mjx-msub data-semantic-children=\"0,1\" data-semantic- data-semantic-owns=\"0 1\" data-semantic-parent=\"15\" data-semantic-role=\"unknown\" data-semantic-type=\"subscript\"&gt;&lt;mjx-mi data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"2\" data-semantic-role=\"unknown\" data-semantic-type=\"identifier\"&gt;&lt;mjx-c noic=\"true\" style=\"padding-top: 0.657em;\"&gt;N&lt;/mjx-c&gt;&lt;mjx-c style=\"padding-top: 0.657em;\"&gt;a&lt;/mjx-c&gt;&lt;/mjx-mi&gt;&lt;mjx-script style=\"vertical-align: -0.15em;\"&gt;&lt;mjx-mn data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"2\" data-semantic-role=\"integer\" data-semantic-type=\"number\" size=\"s\"&gt;&lt;mjx-c&gt;2&lt;/mjx-c&gt;&lt;/mjx-mn&gt;&lt;/mjx-script&gt;&lt;/mjx-msub&gt;&lt;mjx-mo data-semantic-added=\"true\" data-semantic- data-semantic-operator=\"infixop,⁢\" data-semantic-parent=\"15\" data-semantic-role=\"multiplication\" data-semantic-type=\"operator\"&gt;&lt;mjx-c&gt;⁢&lt;/mjx-c&gt;&lt;/mjx-mo&gt;&lt;mjx-msub data-semantic-children=\"3,4\" data-semantic- data-semantic-owns=\"3 4\" data-semantic-parent=\"15\" data-semantic-role=\"unknown\" data-semantic-type=\"subscript\" space=\"2\"&gt;&lt;mjx-mi data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"5\" data-semantic-role=\"unknown\" data-semantic-type=\"identifier\"&gt;&lt;mjx-c noic=\"true\" style=\"padding-top: 0.669em;\"&gt;C&lt;/mjx-c&gt;&lt;mjx-c style=\"padding-top: 0.669em;\"&gt;u&lt;/mjx-c&gt;&lt;/mjx-mi&gt;&lt;mjx-script style=\"vertical-align: -0.15em;\"&gt;&lt;mjx-mn data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"5\" data-semantic-role=\"integer\" data-semantic-type=\"number\" size=\"s\"&gt;&lt;mjx-c&gt;3&lt;/mjx-c&gt;&lt;/mjx-mn&gt;&lt;/mjx-script&gt;&lt;/mjx-msub&gt;&lt;mjx-mo data-semantic-added=\"true\" data-semantic- data-semantic-operator=\"infixop,⁢\" data-semantic-parent=\"15\" data-semantic-role=\"multiplication\" data-semantic-type=\"operator\"&gt;&lt;mjx-c&gt;⁢&lt;/mjx-c&gt;&lt;/mjx-mo&gt;&lt;mjx-msub data-semantic-children=\"6,7\" data-semantic- data-semantic-owns=\"6 7\" data-semantic-parent=\"15\" data-semantic-role=\"unknown\" data-semantic-type=\"subscript\" space=\"2\"&gt;&lt;mjx-mi data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"8\" data-semantic-role=\"unknown\" data-semantic-type=\"identifier\"&gt;&lt;mjx-c noic=\"true\" style=\"padding-top: 0.669em;\"&gt;G&lt;/mjx-c&gt;&lt;mjx-c style=\"padding-top: 0.669em;\"&gt;e&lt;/mjx-c&gt;&lt;/mjx-mi&gt;&lt;mjx-script style=\"vertical-align: -0.15em;\"&gt;&lt;mjx-mn data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"8\" data-semantic-role=\"i","PeriodicalId":20082,"journal":{"name":"Physical Review B","volume":null,"pages":null},"PeriodicalIF":3.7,"publicationDate":"2024-11-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142588454","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Superconducting fluctuations and paraconductivity in ultrathin amorphous Pb films near superconductor-insulator transitions 超导体-绝缘体转变附近超薄无定形铅薄膜中的超导波动和副导性
IF 3.7 2区 物理与天体物理
Physical Review B Pub Date : 2024-11-05 DOI: 10.1103/physrevb.110.174502
Haoyang Liu, Ashwani Kumar, Liuqi Yu, Richard P. Barber, Jr., Peng Xiong
{"title":"Superconducting fluctuations and paraconductivity in ultrathin amorphous Pb films near superconductor-insulator transitions","authors":"Haoyang Liu, Ashwani Kumar, Liuqi Yu, Richard P. Barber, Jr., Peng Xiong","doi":"10.1103/physrevb.110.174502","DOIUrl":"https://doi.org/10.1103/physrevb.110.174502","url":null,"abstract":"Superconductivity in two dimensions has attracted renewed interest in the context of two-dimensional (2D) van der Waals materials. Key questions remain regarding the nature and manifestations of the superconductivity in these materials. One open question is whether superconducting fluctuations in such 2D systems can be described by the classic Aslamazov-Larkin (A-L) equation. While the A-L model has long been found to accurately describe the paraconductivity of some conventional 2D superconductors, its applicability in ultrathin limit near the superconductor-insulator transition (SIT) has not been established. Here, we report a systematic study of superconducting fluctuation and paraconductivity in ultrathin 2D amorphous Pb films near the SIT. Pb films were incrementally deposited, and the electrical measurements were performed &lt;i&gt;in situ&lt;/i&gt; at each thickness in a dilution refrigerator, resulting in a series of sheet resistance curves &lt;mjx-container ctxtmenu_counter=\"57\" ctxtmenu_oldtabindex=\"1\" jax=\"CHTML\" overflow=\"linebreak\" role=\"tree\" sre-explorer- style=\"font-size: 100.7%;\" tabindex=\"0\"&gt;&lt;mjx-math data-semantic-structure=\"(11 0 (10 (3 1 2) 9 (7 4 5 6)) 8)\"&gt;&lt;mjx-mrow data-semantic-children=\"10\" data-semantic-content=\"0,8\" data-semantic- data-semantic-owns=\"0 10 8\" data-semantic-role=\"leftright\" data-semantic-speech=\"left bracket upper R Subscript white square Baseline left parenthesis upper T right parenthesis right bracket\" data-semantic-type=\"fenced\"&gt;&lt;mjx-mo data-semantic- data-semantic-operator=\"fenced\" data-semantic-parent=\"11\" data-semantic-role=\"open\" data-semantic-type=\"fence\" style=\"vertical-align: -0.02em;\"&gt;&lt;mjx-c&gt;[&lt;/mjx-c&gt;&lt;/mjx-mo&gt;&lt;mjx-mrow data-semantic-added=\"true\" data-semantic-annotation=\"clearspeak:simple\" data-semantic-children=\"3,7\" data-semantic-content=\"9,1\" data-semantic- data-semantic-owns=\"3 9 7\" data-semantic-parent=\"11\" data-semantic-role=\"simple function\" data-semantic-type=\"appl\"&gt;&lt;mjx-msub data-semantic-children=\"1,2\" data-semantic- data-semantic-owns=\"1 2\" data-semantic-parent=\"10\" data-semantic-role=\"simple function\" data-semantic-type=\"subscript\"&gt;&lt;mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic- data-semantic-operator=\"appl\" data-semantic-parent=\"3\" data-semantic-role=\"simple function\" data-semantic-type=\"identifier\"&gt;&lt;mjx-c&gt;𝑅&lt;/mjx-c&gt;&lt;/mjx-mi&gt;&lt;mjx-script style=\"vertical-align: -0.15em;\"&gt;&lt;mjx-mo data-semantic- data-semantic-parent=\"3\" data-semantic-role=\"geometry\" data-semantic-type=\"relation\" size=\"s\"&gt;&lt;mjx-c&gt;□&lt;/mjx-c&gt;&lt;/mjx-mo&gt;&lt;/mjx-script&gt;&lt;/mjx-msub&gt;&lt;mjx-mo data-semantic-added=\"true\" data-semantic- data-semantic-operator=\"appl\" data-semantic-parent=\"10\" data-semantic-role=\"application\" data-semantic-type=\"punctuation\"&gt;&lt;mjx-c&gt;⁡&lt;/mjx-c&gt;&lt;/mjx-mo&gt;&lt;mjx-mrow data-semantic-children=\"5\" data-semantic-content=\"4,6\" data-semantic- data-semantic-owns=\"4 5 6\" data-semantic-parent=\"10\" data-semantic-role=\"leftright\" data-semantic-type=\"fenced\" space=\"2\"&gt;&lt;mjx-mo data-semantic- data","PeriodicalId":20082,"journal":{"name":"Physical Review B","volume":null,"pages":null},"PeriodicalIF":3.7,"publicationDate":"2024-11-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142588420","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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