Two-component parton fractional quantum Hall state in graphene

TL;DR

This paper investigates the fractional quantum Hall states at filling factor ±1/2 in graphene, proposing a valley unpolarized parton wave function supported by numerical calculations and considering lattice-scale valley anisotropy effects.

Contribution

It introduces a novel valley unpolarized parton wave function for these states, accounting for lattice-scale valley anisotropy effects in graphene.

Findings

Valley anisotropic terms favor valley unpolarized states.

Numerical calculations support the proposed wave function.

The study advances understanding of fractional quantum Hall states in graphene.

Abstract

We study the $\nu={\pm}1/2$ fractional quantum Hall states in graphene observed by Zibrov et al. [Nat. Phys. 14, 930 (2018)]. The parton construction is employed to provide a valley unpolarized trial wave function for these states. The lattice scale valley anisotropic terms in the Hamiltonian soften the repulsion between electrons in different valleys to favor the valley unpolarized state. The validity of our proposal is corroborated by numerical calculations.