Affordable Access

deepdyve-link
Publisher Website

Periodic Landau gauge and Quantum Hall effect in twisted bilayer graphene

Authors
  • Hasegawa, Yasumasa
  • Kohmoto, Mahito
Type
Published Article
Publication Date
Oct 01, 2013
Submission Date
Apr 25, 2013
Identifiers
DOI: 10.1103/PhysRevB.88.125426
Source
arXiv
License
Yellow
External links

Abstract

Energy versus magnetic field (Hofstadter butterfly diagram) in twisted bilayer graphene is studied theoretically. If we take the usual Landau gauge, we cannot take a finite periodicity even when the magnetic flux through a supercell is a rational number. We show that the \textit{periodic} Landau gauge, which has the periodicity in one direction, makes it possible to obtain the Hofstadter butterfly diagram. Since a supercell can be large, magnetic flux through a supercell normalized by the flux quantum can be a fractional number with a small denominator, even when a magnetic field is not extremely strong. As a result, quantized Hall conductance can be a solution of nontrivial Diophantine equation.

Report this publication

Statistics

Seen <100 times