Monte Carlo simulation method for Laughlin-like states in a disk geometry

TL;DR

This paper introduces a new Monte Carlo simulation technique that efficiently computes the ground-state energy of Laughlin states in fractional quantum Hall systems within a disk geometry, requiring fewer particles than traditional methods.

Contribution

The paper presents an alternative Monte Carlo method that accurately determines bulk properties of Laughlin states using fewer particles, improving computational efficiency.

Findings

Accurate ground-state energy calculations for Laughlin states.

Effective in the thermodynamic limit with fewer particles.

Enhanced computational efficiency over standard approaches.

Abstract

We discuss an alternative accurate Monte Carlo method to calculate the ground-state energy and related quantities for Laughlin states of the fractional quantum Hall effect in a disk geometry. This alternative approach allows us to obtain accurate bulk regime (thermodynamic limit) values for various quantities from Monte Carlo simulations with a small number of particles (much smaller than that needed with standard Monte Carlo approaches).