Quasi-exact solution to the Dirac equation for the hyperbolic-secant potential

被引：75

作者：

Hartmann, R. R. ^{[1
]}

Portnoi, M. E. ^{[2
,3
]}

机构：

[1] De La Salle Univ, Dept Phys, Manila 1004, Philippines

[2] Univ Exeter, Sch Phys, Exeter EX4 4QL, Devon, England

[3] Int Inst Phys, BR-59078400 Natal, RN, Brazil

来源：

PHYSICAL REVIEW A | 2014年 / 89卷 / 01期

关键词：

DELTA-FUNCTION; REFLECTION; SCATTERING; ELECTRONS;

D O I：

10.1103/PhysRevA.89.012101

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

We analyze bound modes of two-dimensional massless Dirac fermions confined within a hyperbolic secant potential, which provides a good fit for potential profiles of existing top-gated graphene structures. We show that bound states of both positive and negative energies exist in the energy spectrum and that there is a threshold value of the characteristic potential strength for which the first mode appears. Analytical solutions are presented in several limited cases and supercriticality is discussed.

引用

页数：7

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