论文标题

对称电场和磁场中的石墨烯狄拉克费米斯:电井的情况

Graphene Dirac fermions in symmetric electric and magnetic fields: the case of an electric square well

论文作者

Ateş, İsmail Burak, Kuru, Şengül, Negro, Javier

论文摘要

在本文中,提出了一种简单的方法,以在某些电场和磁场的存在下,在石墨烯中为dirac-weyl方程的分析溶液(或借助于有限的数值计算)。为了使Dirac-Weyl方程解矛,我们假设系统沿方向以及磁场上的某些条件的位移对称性。所得的方程式具有自然形式,以应用超对称量子力学技术。详细研究了带有正方形配置文件的电井的示例,以说明此过程的一些最有趣的功能。

In this paper, a simple method is proposed to get analytical solutions (or with the help of a finite numerical calculations) of the Dirac-Weyl equation for low energy electrons in graphene in the presence of certain electric and magnetic fields. In order to decouple the Dirac-Weyl equation we have assumed a displacement symmetry of the system along a direction and some conditions on the magnetic and electric fields. The resulting equations have the natural form to apply the technique of supersymmetric quantum mechanics. The example of an electric well with square profile is worked out in detail to illustrate some of the most interesting features of this procedure.

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