• 文献标题:   A primer on twistronics: a massless Dirac fermion's journey to moire patterns and flat bands in twisted bilayer graphene
  • 文献类型:   Review
  • 作  者:   AGGARWAL D, NARULA R, GHOSH S
  • 作者关键词:   moire pattern, magic angle twisted bilayer graphene, superlattice, dirac fermion, flat band, van der waals heterostructure, graphene on hexagonal boron nitride
  • 出版物名称:   JOURNAL OF PHYSICSCONDENSED MATTER
  • ISSN:   0953-8984 EI 1361-648X
  • 通讯作者地址:  
  • 被引频次:   0
  • DOI:   10.1088/1361-648X/acb984
  • 出版年:   2023

▎ 摘  要

The recent discovery of superconductivity in magic-angle twisted bilayer graphene (TBLG) has sparked a renewed interest in the strongly-correlated physics of sp (2) carbons, in stark contrast to preliminary investigations which were dominated by the one-body physics of the massless Dirac fermions. We thus provide a self-contained, theoretical perspective of the journey of graphene from its single-particle physics-dominated regime to the strongly-correlated physics of the flat bands. Beginning from the origin of the Dirac points in condensed matter systems, we discuss the effect of the superlattice on the Fermi velocity and Van Hove singularities in graphene and how it leads naturally to investigations of the moire pattern in van der Waals heterostructures exemplified by graphene-hexagonal boron-nitride and TBLG. Subsequently, we illuminate the origin of flat bands in TBLG at the magic angles by elaborating on a broad range of prominent theoretical works in a pedagogical way while linking them to available experimental support, where appropriate. We conclude by providing a list of topics in the study of the electronic properties of TBLG not covered by this review but may readily be approached with the help of this primer.