Composite fermion pairing induced by Landau level mixing

TL;DR

This paper demonstrates through Monte Carlo calculations that Landau level mixing can induce pairing of composite fermions at certain filling factors, potentially leading to non-Abelian fractional quantum Hall states.

Contribution

It introduces a novel mechanism where Landau level mixing induces composite fermion pairing, expanding understanding of fractional quantum Hall states.

Findings

Landau level mixing can induce composite fermion pairing.

Pairing occurs at filling factors ν=1/2 and ν=1/4.

Predicted non-Abelian fractional quantum Hall states.

Abstract

Pairing of composite fermions provides a possible mechanism for fractional quantum Hall effect at even denominator fractions and is believed to serve as a platform for realizing quasiparticles with non-Abelian braiding statistics. We present results from fixed-phase diffusion Monte Carlo calculations which predict that substantial Landau level mixing can induce a pairing of composite fermions at filling factors $\nu=1/2$ and $\nu=1/4$ in the $l=-3$ relative angular momentum channel, thereby destabilizing the composite-fermion Fermi seas to produce non-Abelian fractional quantum Hall states.