Study of polarization of even-denominator fractional quantum Hall states in SU(4) Graphene

TL;DR

This paper investigates the polarization properties of even-denominator fractional quantum Hall states in monolayer graphene, using gauge field theory to analyze their ground states and energy configurations.

Contribution

It introduces a theoretical framework applying Chern-Simons gauge theory to predict polarized states and their energies for specific EDFQH states in graphene.

Findings

Identified lowest energy polarized states at ν=1/2 and 1/4

Applied gauge field theory to model variational wave functions

Calculated ground state energies for different polarization configurations

Abstract

We have focussed to study the even-denominator fractional quantum Hall (EDFQH) states observed in monolayer graphene. In this letter, we have studied polarization mainly for the two EDFQH states at filling fractions $\nu = 1/2, 1/4$, which are observed in an experimental study [Nat. Phys. 14, 930 (2018)] a few years ago. We have applied Chern Simon's gauge field theory to explain the possible variational wave functions for different polarized states and calculated their ground state energies using the Coulomb potential. We have chosen the lowest energy states using suitable combinations of flux attached with the electrons for different polarized states of those EDFQH states.