Anomalous viscosity of vortex hall states in graphene

TL;DR

This paper investigates how temperature influences the anomalous viscosity in graphene's quantum Hall states, revealing how strain-induced pseudo-magnetic fields and vortex interactions affect viscosity and potentially indicate new quantum Hall phases.

Contribution

It derives an expression for anomalous viscosity in graphene considering temperature, strain effects, and vortex dynamics, providing insights into energy gaps and stable fractional quantum Hall states.

Findings

Anomalous viscosity depends on temperature and geometric parameters.

Strain-induced pseudo-magnetic fields significantly modify vortex interactions.

Energy gaps correlate with infinite viscosity points, indicating new quantum Hall states.

Abstract

We study temperature effect on anomalous viscosity of Graphene Hall fluid within quantum many-vortex hydrodynamics. The commonly observed filling fractions, $\nu$ in the range $0 < \nu < 2$ is considered. An expression for anomalous viscosity dependent on a geometric parameter-Hall expansion coefficient, is obtained at finite temperatures. It arises from strained induced pseudo-magnetic field in addition to an anomalous term in vortex velocity, which is responsible for re-normalization of vortex-vortex interactions. We observed that both terms greatly modify the anomalous viscosity as well as an enhancement of weakly observed v fractions. Finite values of the expansion coefficient produce a constant and an infinite viscosity at varying temperatures. The infinities are identified as energy gaps and suggest temperatures at which new stable quantum hall filling fractions could be seen. This phenomenon is used to estimate energy gaps of already measured fractional quantum Hall states in Graphene.