Two-dimensional Dirac fermion in presence of an asymmetric vector potential

被引：2

作者：

Ishkhanyan, A. ^{[1
,2
]}

Jakubsky, V. ^{[3
]}

机构：

[1] Russian Armenian Univ, Yerevan 0051, Armenia

[2] NAS Armenia, Inst Phys Res, Ashtarak 0203, Armenia

[3] CAS, Nucl Phys Inst, Rez 25068, Czech Republic

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2018年 / 51卷 / 49期

关键词：

Dirac equation; two-dimensional; asymmetric potential; scattering; bound states; exactly solvable; GRAPHENE; ELECTRONS;

D O I：

10.1088/1751-8121/aae628

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We introduce the new, exactly solvable model of the two-dimensional Dirac fermion in presence of an asymmetric, Poschl-Teller-like vector potential. Utilizing the translation invariance of the system, the effective one-dimensional stationary equation is brought into the form of the Heun equation and its fundamental solutions are found as an irreducible combination of two Gauss hypergeometric functions. The energy spectrum and the scattering is studied dependant on the conserved longitudinal momentum as well as on the strength of the coupling.

引用

页数：15

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