Breaking of Particle-Hole Symmetry by Landau Level Mixing in the nu=5/2 Quantized Hall State

TL;DR

This study uses numerical methods to analyze the nature of the nu=5/2 fractional quantum Hall state, revealing that Landau level mixing favors the AntiPfaffian over the Moore-Read state.

Contribution

It demonstrates that Landau level mixing breaks particle-hole symmetry, favoring the AntiPfaffian in realistic conditions.

Findings

Landau level mixing favors the AntiPfaffian state

Ground state remains fully polarized with realistic interactions

Particle-hole symmetry is broken by Landau level mixing

Abstract

We perform numerical studies to determine if the fractional quantum Hall state observed at filling nu=5/2 is the Moore-Read wavefunction or its particle hole conjugate, the so-called AntiPfaffian. Using a truncated Hilbert space approach we find that for realistic interactions, including Landau-level mixing, the ground state remains fully polarized and the AntiPfaffian is strongly favored.