Wigner Crystals Phases in Bilayer Quantum Hall Systems

TL;DR

This paper investigates the phase diagram of bilayer quantum Hall systems, revealing five distinct Wigner crystal phases and phase transitions influenced by layer spacing, with mixed magnetic orders observed.

Contribution

It introduces a variational method analysis of bilayer Wigner crystals, identifying five phases and their transition behaviors as layer spacing varies.

Findings

Five crystal phases identified in bilayer systems

Phase transitions occur with increasing layer spacing

Most phases exhibit mixed ferromagnetic and antiferromagnetic order

Abstract

(This is a substantially shortened version of the original abstract:) The Wigner crystal phase diagram of the bilayer systems have been studied using variational methods. Five crystal phases are obtained. As the layer spacing increases, the system will undergo a sequence of phase transitions. A common feature of most bilayer Wigner crystals is that they have mixed (pseudo-spin) ferromagnetic and antiferromagnetic order.