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

Fuente: arXiv
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Autore principale: Kim, Yoonkang
Natura: Preprint
Pubblicazione: 2025
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author Kim, Yoonkang
author_facet Kim, Yoonkang
contents 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 moiré potential induced by tBG folds the TSS Dirac cone into the moiré 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 moiré modulation, offering a pathway to engineer novel topological phases.
format Preprint
id arxiv_https___arxiv_org_abs_2505_02187
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Topological Surface States of 3D Topological Insulator on Twisted Bilayer Graphene
Kim, Yoonkang
Mesoscale and Nanoscale Physics
Quantum Physics
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 moiré potential induced by tBG folds the TSS Dirac cone into the moiré 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 moiré modulation, offering a pathway to engineer novel topological phases.
title Topological Surface States of 3D Topological Insulator on Twisted Bilayer Graphene
topic Mesoscale and Nanoscale Physics
Quantum Physics
url https://arxiv.org/abs/2505.02187