• 文献标题:   Maximally Localized Wannier Orbitals and the Extended Hubbard Model for Twisted Bilayer Graphene
  • 文献类型:   Article
  • 作  者:   KOSHINO M, YUAN NFQ, KORETSUNE T, OCHI M, KUROKI K, FU L
  • 作者关键词:  
  • 出版物名称:   PHYSICAL REVIEW X
  • ISSN:   2160-3308
  • 通讯作者地址:   Osaka Univ
  • 被引频次:   82
  • DOI:   10.1103/PhysRevX.8.031087
  • 出版年:   2018

▎ 摘  要

We develop an effective extended Hubbard model to describe the low-energy electronic properties of the twisted bilayer graphene. By using the Bloch states in the effective continuum model and with the aid of the maximally localized algorithm, we construct the Wannier orbitals and obtain an effective tight-binding model on the emergent honeycomb lattice. We find that the Wannier state takes a peculiar three-peak form in which the amplitude maxima are located at the triangle corners surrounding the center. We estimate the direct Coulomb interaction and the exchange interaction between the Wannier states. At the filling of two electrons per supercell, in particular, we find an unexpected coincidence in the direct Coulomb energy between a charge-ordered state and a homogeneous state, which could possibly lead to an unconventional many-body state.