• 文献标题:   Anomalous electrodynamics and quantum geometry in the Dirac-Harper model for a graphene bilayer
  • 文献类型:   Article
  • 作  者:   TIMMEL A, MELE EJ
  • 作者关键词:  
  • 出版物名称:   PHYSICAL REVIEW B
  • ISSN:   2469-9950 EI 2469-9969
  • 通讯作者地址:  
  • 被引频次:   0
  • DOI:   10.1103/PhysRevB.104.075419
  • 出版年:   2021

▎ 摘  要

Graphene bilayers with layer antisymmetric strains are studied using the Dirac-Harper model for a pair of single-layer Dirac Hamiltonians coupled by a one-dimensional moire-periodic interlayer tunneling amplitude. This model hosts low-energy, nearly dispersionless bands near charge neutrality that support anomalous polarizations of its charge multipole distributions. These are analyzed introducing a generalized Berry curvature that encodes the field-induced dynamics of multipole fields allowed in a chiral medium with time-reversal symmetry. The formulation identifies a reciprocity relation between responses to layer-symmetric and layer-antisymmetric in-plane electric fields and reveals momentum-space quantum oscillations produced by a spatial pattern of band inversions on the moire scale.