Collective excitations of fractional quantum Hall states in monolayer graphene

TL;DR

This paper investigates the collective excitations in fractional quantum Hall states in graphene, emphasizing how these spectra depend on filling factors and flux attachment schemes for different variational states.

Contribution

It provides a numerical analysis of collective excitation spectra in graphene's fractional quantum Hall states considering chiral symmetry breaking orders.

Findings

Spectra depend on filling factors and flux attachment schemes.

Differences observed between T"{o}ke-Jain and Modak-Mandal-Sengupta sequences.

Insights into chiral symmetry breaking effects on collective excitations.

Abstract

We study the collective excitations of fractional quantum Hall states in graphene. We focus on states which allow for chiral symmetry breaking (CSB) orders, specifically antiferromagnetism and charge density wave order. We investigate numerically how the collective excitation spectra depend on filling and the flux attachment scheme for two classes of variational states, the T\"{o}ke-Jain sequence and the Modak-Mandal-Sengupta sequence.