Topological Surface States of 3D Topological Insulator on Twisted Bilayer Graphene

• URL: http://arxiv.org/abs/2505.02187v1
• Date: Sun, 04 May 2025 17:07:03 GMT
• Title: Topological Surface States of 3D Topological Insulator on Twisted Bilayer Graphene
• Authors: Yoonkang Kim,
• Abstract summary: We present a theoretical study of the topological surface states (TSS) of Bi$taxi$Se$_3$, a 3D topological insulator, epially grown on twisted bilayer graphene (tBG)<n>The moir'e potential induced by tBG folds the TSS Dirac cone into the moir'e Brillouin zone (MBZ), resulting in mini-gap openings, band flattening, and the potential emergence of secondary Dirac points.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We present a comprehensive theoretical study of the topological surface states (TSS) of Bi$_2$Se$_3$, a 3D topological insulator, epitaxially grown on twisted bilayer graphene (tBG). The moir\'e potential induced by tBG folds the TSS Dirac cone into the moir\'e Brillouin zone (MBZ), resulting in mini-gap openings, band flattening, and the potential emergence of secondary Dirac points. Using effective field theory, symmetry analysis, and higher-order perturbation theory, we analyze both commensurate and incommensurate twist angles, revealing significant band structure reconstruction in periodic systems and quasi-periodic effects in incommensurate ones. This work provides deep insights into the interplay between topological protection and moir\'e modulation, offering a pathway to engineer novel topological phases.

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