Strong Electric Field in 2D Graphene: The Integer Quantum Hall Regime from a Different (Many-Body) Perspective

• 作者: Georgios Konstantinou Konstantinos Moulopoulos
• 来源期刊: 材料物理与化学进展(英文)
• 学科: 物理学
• 关键词: GRAPHENE LANDAU Levels Strong Electric Field Effects HALL Conductivity MAGNETIZATION Quantum HALL Effect Thermodynamics
• 年，卷（期）: clwlyhxjzyw_2018,（1）
• 页码范围: 32-43
• 页数: 12页
• 分类号: O4

摘要

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.