Wigner crystallization in the fractional quantum Hall regime: A variational quantum Monte Carlo study

Xuejun Zhu; Steven G. Louie

doi:10.1103/PhysRevLett.70.335

Wigner crystallization in the fractional quantum Hall regime: A variational quantum Monte Carlo study

Xuejun Zhu and Steven G. Louie

Phys. Rev. Lett. 70, 335 – Published 18 January 1993

Abstract

Using a variational quantum Monte Carlo method, we study the two-dimensional Wigner crystal induced by a strong magnetic field in the fractional quantum Hall effect regime. Effects of exchange, intra-Landau-level correlation, and inter-Landau-level mixing on the total energy and their dependence on the carrier mass and magnetic field strength are calculated. Our results support that the recently observed reentrant behavior to an insulating phase around ν=1/3 in p-doped GaAs/AlGaAs is a consequence of an increased stability of the Wigner crystal due to the effects of Landau-level mixing.

Received 25 September 1992

DOI:https://doi.org/10.1103/PhysRevLett.70.335

Authors & Affiliations

Xuejun Zhu and Steven G. Louie

Department of Physics, University of California, Berkeley, California 94720,
Materials Sciences Division, Lawrence Berkeley Laboratory, Berkeley, California 94720