Author(s)

Georgios Konstantinou¹, Konstantinos Moulopoulos²

¹FOSS Research Centre for Sustainable Energy, PV Technology, University of Cyprus, Nicosia, Cyprus.
²Department of Physics, University of Cyprus, Nicosia, Cyprus.

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.

Graphene, Landau Levels, Strong Electric Field Effects, Hall Conductivity, Magnetization, Quantum Hall Effect, Thermodynamics

Konstantinou, G. and Moulopoulos, K. (2018) Strong Electric Field in 2D Graphene: The Integer Quantum Hall Regime from a Different (Many-Body) Perspective. Advances in Materials Physics and Chemistry, 8, 32-43. doi: 10.4236/ampc.2018.81003.