Finite-Size Monte Carlo Calculations for Anisotropic Quantum Hall Liquids

At low temperatures, two-dimensional electron systems in a perpendicular magnetic field exhibit remarkable quantum phenomena [1]. The strongly correlated electrons stabilize in different quantum phases as the quantum Hall filling factor is varied. In this work, we present finite-size Monte Carlo simulation results for anisotropic quantum Hall liquid states observed at certain even-denominator quantum Hall filling factors. The anisotropic phases are described by means of a broken rotational symmetry wave function [2]. Our energy investigations of two-dimensional few electron systems in disk geometry [3] indicate that an anisotropic quantum Hall phase with broken rotational symmetry is energetically favored relative to an isotropic liquid one.