Effect of the Equivalence Between Topological and Electric Charge on the Magnetization of the Hall Ferromagnet

TL;DR

This study investigates how the equivalence of topological and electric charge influences the temperature-dependent spin magnetization in a 2D electron gas, revealing a significant increase in polarization at intermediate temperatures.

Contribution

It introduces a Monte Carlo simulation approach to analyze the impact of charge equivalence on magnetization in Hall ferromagnets, highlighting the role of charge interactions.

Findings

Spin polarization increases by 30% at intermediate temperatures.

Charge fluctuations significantly affect magnetization behavior.

The Hartree interaction enhances spin polarization.

Abstract

The dependence on temperature of the spin magnetization of a two-dimensional electron gas at filling factor unity is studied. Using classical Monte Carlo simulations we analyze the effect that the equivalence between topological and electrical charge has on the the behavior of the magnetization. We find that at intermediate temperatures the spin polarization increases in a thirty per cent due to the Hartree interaction between charge fluctuations.