Quantum Monte-Carlo method without negative-sign problem for two-dimensional electron systems under strong magnetic fields

TL;DR

This paper presents a modified quantum Monte-Carlo method that avoids the negative-sign problem for 2D electron systems in strong magnetic fields, enabling accurate calculations at specific filling factors like 1/3.

Contribution

The authors introduce a technique to find interaction parameters that eliminate the negative-sign problem in quantum Monte-Carlo simulations of 2D electron systems under strong magnetic fields.

Findings

Sign-problem-free parameters are identified for certain filling factors.

Static observables at filling factor 1/3 are successfully calculated.

The method enhances the feasibility of quantum Monte-Carlo simulations in this context.

Abstract

The quantum Monte-Carlo method is applied to two-dimensional electron systems under strong magnetic fields. The negative-sign problem involved by this method can be avoided for certain filling factors by modifying interaction parameters from those of the Coulomb interaction. Our techniques for obtaining sign-problem-free parameters are described in detail. Calculated results on static observables are also reported for Landau level filling $\nu = 1/3$.