Properties of Paired Quantum Hall States at $\nu=2$

TL;DR

This paper investigates the energetic properties of paired quantum Hall states at filling factor $ u=2$, demonstrating that pairing can be energetically favorable and persists in the thermodynamic limit, especially at small magnetic fields.

Contribution

It introduces a variational Monte Carlo analysis showing pairing at $ u=2$ is energetically favorable and survives in large systems, highlighting new correlated states.

Findings

Pairing is energetically favorable at small magnetic fields.

Pairing correlations survive in the thermodynamic limit.

The study uses variational Monte Carlo techniques.

Abstract

The energetic properties of a paired quantum Hall state at Landau level filling $\nu=2$ are investigated using variational Monte Carlo techniques. Pairing is found to be energetically favorable in small magnetic fields because it introduces correlations between up and down spins that are absent in the traditional $\nu=2$ state. We find that pairing survives extrapolation to the thermodynamic limit.