Exact analytic solutions for a Dirac electron moving in graphene under magnetic fields

被引:111
作者
Kuru, S. [1 ]
Negro, J. [2 ]
Nieto, L. M. [2 ]
机构
[1] Ankara Univ, Fac Sci, Dept Phys, TR-06100 Ankara, Turkey
[2] Univ Valladolid, Dept Fis Teor Atom & Opt, E-47071 Valladolid, Spain
关键词
SUPERSYMMETRIC QUANTUM-MECHANICS; ISOSPECTRAL POTENTIALS; EQUATION;
D O I
10.1088/0953-8984/21/45/455305
中图分类号
O469 [凝聚态物理学];
学科分类号
070205 ;
摘要
Exact analytical solutions for the bound states of a graphene Dirac electron in various magnetic fields with translational symmetry are obtained. In order to solve the time-independent Dirac-Weyl equation the factorization method used in supersymmetric quantum mechanics is adapted to this problem. The behavior of the discrete spectrum, probability and current densities are discussed.
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页数:11
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