Abstract

We investigate graphene under an inhomogeneous uniaxial strain and an in-plane electric field. We examine in detail the effect of strain and the electric field on relativistic Landau levels, Hall conductivity, de Haas-van Alphen oscillation and optical conductivity. Using Lorentz transformation in combination with supersymmetric quantum mechanics, we examine three different structures of Landau levels induced by three different profiles of inhomogeneous uniaxial strain and external electric fields. It is shown that strain-induced pseudomagnetic field forms Landau levels while electric field opposes formation of these levels. Besides the collapse of strain induced Landau levels, the influences of electric field on the quantization of strain dependent valley Hall conductivity, de Haas-van Alphen quantum oscillation of magnetization as well as optical conductivity have been investigated.

Graphical abstract

中文翻译：

---

石墨烯在单轴不均匀应变和外部电场下：朗道能级，电子，磁性和光学性质

摘要

我们在不均匀的单轴应变和面内电场下研究石墨烯。我们详细研究了应变和电场对相对论朗道能级，霍尔电导率，de Haas-van Alphen振荡和光导率的影响。结合Lorentz变换和超对称量子力学，我们研究了由非均质单轴应变和外部电场的三种不同轮廓引起的Landau能级的三种不同结构。结果表明，应变感应的伪磁场形成了朗道能级，而电场则阻止了这些能级的形成。除了因应变引起的朗道能级崩溃之外，电场对与应变有关的谷霍尔电导率的量化也有影响，

图形概要