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

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).

13 pages, 6 figures, 2 tables

Cited by in corpus (2)

• Monte Carlo study of Bose Laughlin wave function for filling factors 1/2, 1/4 and 1/6
• Dynamics of edge Majorana fermions in $\nu =\frac{5}{2}$ fractional quantum Hall effects