Thermodynamic Phase Diagram of the Quantum Hall Skyrmion System

TL;DR

This paper numerically investigates the thermodynamic phase diagram of a quantum Hall skyrmion system, revealing its phase behavior through extensive simulations based on an effective action derived from the Chern-Simons theory.

Contribution

It introduces a low-energy effective action for many skyrmions and maps out the thermodynamic phases using molecular dynamics simulations.

Findings

Established the thermodynamic phase diagram of the skyrmion system

Demonstrated invariance of the action under global spin rotations

Provided insights into phase transitions in quantum Hall skyrmions

Abstract

We numerically study the interacting quantum Hall skyrmion system based on the Chern-Simons action. By noticing that the action is invariant under global spin rotations in the spin space with respect to the magnetic field direction, we obtain the low-energy effective action for a many skyrmion system. Performing extensive molecular dynamics simulations, we establish the thermodynamic phase diagram for a many skyrmion system.