{"title":"完全松弛扭曲双层和三层石墨烯中的伪磁场","authors":"A Ceferino, F Guinea","doi":"10.1088/2053-1583/ad3b0e","DOIUrl":null,"url":null,"abstract":"We present simple models to describe the in-plane and the out-of-plane lattice relaxation in twisted bilayer and symmetrically twisted trilayer graphene. Analytical results and series expansions show that for twist angles <inline-formula>\n<tex-math><?CDATA $\\theta\\gt 1.4^{\\circ}$?></tex-math>\n<mml:math overflow=\"scroll\"><mml:mrow><mml:mi>θ</mml:mi><mml:mo>></mml:mo><mml:msup><mml:mn>1.4</mml:mn><mml:mrow><mml:mo>∘</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math>\n<inline-graphic xlink:href=\"tdmad3b0eieqn1.gif\" xlink:type=\"simple\"></inline-graphic>\n</inline-formula>, the in-plane atomic displacements lead to pseudomagnetic fields weakly dependent on <italic toggle=\"yes\">θ</italic>. In symmetrically twisted trilayer graphene, the central layer in-plane relaxation is greatly enhanced. The joint effect of the relaxation-induced pseudoscalar potentials and the associated energy difference between interlayer dimer and non-dimer pairs resulted in a significant electron–hole asymmetry both in twisted bilayer and trilayer graphene.","PeriodicalId":6812,"journal":{"name":"2D Materials","volume":"10 1","pages":""},"PeriodicalIF":4.5000,"publicationDate":"2024-04-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Pseudomagnetic fields in fully relaxed twisted bilayer and trilayer graphene\",\"authors\":\"A Ceferino, F Guinea\",\"doi\":\"10.1088/2053-1583/ad3b0e\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We present simple models to describe the in-plane and the out-of-plane lattice relaxation in twisted bilayer and symmetrically twisted trilayer graphene. Analytical results and series expansions show that for twist angles <inline-formula>\\n<tex-math><?CDATA $\\\\theta\\\\gt 1.4^{\\\\circ}$?></tex-math>\\n<mml:math overflow=\\\"scroll\\\"><mml:mrow><mml:mi>θ</mml:mi><mml:mo>></mml:mo><mml:msup><mml:mn>1.4</mml:mn><mml:mrow><mml:mo>∘</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math>\\n<inline-graphic xlink:href=\\\"tdmad3b0eieqn1.gif\\\" xlink:type=\\\"simple\\\"></inline-graphic>\\n</inline-formula>, the in-plane atomic displacements lead to pseudomagnetic fields weakly dependent on <italic toggle=\\\"yes\\\">θ</italic>. In symmetrically twisted trilayer graphene, the central layer in-plane relaxation is greatly enhanced. The joint effect of the relaxation-induced pseudoscalar potentials and the associated energy difference between interlayer dimer and non-dimer pairs resulted in a significant electron–hole asymmetry both in twisted bilayer and trilayer graphene.\",\"PeriodicalId\":6812,\"journal\":{\"name\":\"2D Materials\",\"volume\":\"10 1\",\"pages\":\"\"},\"PeriodicalIF\":4.5000,\"publicationDate\":\"2024-04-30\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2D Materials\",\"FirstCategoryId\":\"88\",\"ListUrlMain\":\"https://doi.org/10.1088/2053-1583/ad3b0e\",\"RegionNum\":3,\"RegionCategory\":\"材料科学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATERIALS SCIENCE, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2D Materials","FirstCategoryId":"88","ListUrlMain":"https://doi.org/10.1088/2053-1583/ad3b0e","RegionNum":3,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATERIALS SCIENCE, MULTIDISCIPLINARY","Score":null,"Total":0}
Pseudomagnetic fields in fully relaxed twisted bilayer and trilayer graphene
We present simple models to describe the in-plane and the out-of-plane lattice relaxation in twisted bilayer and symmetrically twisted trilayer graphene. Analytical results and series expansions show that for twist angles θ>1.4∘, the in-plane atomic displacements lead to pseudomagnetic fields weakly dependent on θ. In symmetrically twisted trilayer graphene, the central layer in-plane relaxation is greatly enhanced. The joint effect of the relaxation-induced pseudoscalar potentials and the associated energy difference between interlayer dimer and non-dimer pairs resulted in a significant electron–hole asymmetry both in twisted bilayer and trilayer graphene.
期刊介绍:
2D Materials is a multidisciplinary, electronic-only journal devoted to publishing fundamental and applied research of the highest quality and impact covering all aspects of graphene and related two-dimensional materials.