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Mathematical Physics

arXiv:2207.12001 (math-ph)
[Submitted on 25 Jul 2022 (v1), last revised 16 Dec 2022 (this version, v2)]

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

Authors:İsmail Burak Ateş, Şengül Kuru, Javier Negro
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Abstract: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.
Comments: 15 pages, 6 figures
Subjects: Mathematical Physics (math-ph)
Cite as: arXiv:2207.12001 [math-ph]
  (or arXiv:2207.12001v2 [math-ph] for this version)
  https://doi.org/10.48550/arXiv.2207.12001
Related DOI: https://doi.org/10.1088/1402-4896/aca631

Submission history

From: Sengul Kuru [view email]
[v1] Mon, 25 Jul 2022 09:20:01 UTC (1,076 KB)
[v2] Fri, 16 Dec 2022 21:35:04 UTC (1,105 KB)
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