Strong Electric Field in 2D Graphene: The Integer Quantum Hall regime from a different (many-body) perspective

TL;DR

This paper analytically explores the effects of strong in-plane electric fields on large graphene sheets in a magnetic field, revealing nonlinear and fractional quantum Hall phenomena that challenge existing experimental and theoretical understanding.

Contribution

It provides an exact analytical study of many-body thermodynamic properties and Hall coefficient in graphene under combined strong electric and magnetic fields, highlighting novel nonlinear and fractional effects.

Findings

Emergence of nonlinear phenomena in magnetization, energy, and Hall conductivity.

Potential for fractional quantization with topological stability at high electric fields.

Analytical results applicable to all field strengths without perturbation methods.

Abstract

We investigate the emerging consequences of an applied strong in-plane electric field on a macroscopically large graphene sheet subjected to a perpendicular magnetic field, by determining in exact analytical form various many-body thermodynamic properties and the Hall coefficient. The results suggest exotic possibilities that necessitate very careful experimental investigation. In this alternate form of Quantum Hall Effect, non-linear phenomena related to the global magnetization, energy and Hall conductivity (the latter depending on the strengths of magnetic B- and electric E-fields) emerge without using perturbation methods, to all orders of E-field and B-field strengths. Interestingly enough, when the value of the electric field is sufficiently strong, fractional quantization also emerges, whose topological stability has to be verified.