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

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

2007-09-14

arxiv.org/abs/0709.2320v1

Phys. Rev. B 67, 075304 (2003)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

13 pages, 6 figures, 2 tables

Scientific paper

10.1103/PhysRevB.67.075304

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).

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