Dirac and Klein-Gordon particles in one-dimensional periodic potentials

被引：201

作者：

Barbier, Michael ^{[1
]}

Peeters, F. M. ^{[1
]}

Vasilopoulos, P. ^{[2
]}

Pereira, J. Milton ^{[1
,3
]}

机构：

[1] Univ Antwerp, Dept Phys, B-2020 Antwerp, Belgium

[2] Concordia Univ, Dept Phys, Montreal, PQ H4B 1R6, Canada

[3] Univ Fed Ceara, Dept Fis, BR-60455760 Fortaleza, Ceara, Brazil

来源：

PHYSICAL REVIEW B | 2008年 / 77卷 / 11期

关键词：

D O I：

10.1103/PhysRevB.77.115446

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

We evaluate the dispersion relation for massless fermions, described by the Dirac equation, and for zero-spin bosons, described by the Klein-Gordon equation, moving in two dimensions and in the presence of a one-dimensional periodic potential. For massless fermions, the dispersion relation shows a zero gap for carriers with zero momentum in the direction parallel to the barriers in agreement with the well-known "Klein paradox." Numerical results for the energy spectrum and the density of states are presented. Those for fermions are appropriate to graphene in which carriers behave relativistically with the "light speed" replaced by the Fermi velocity. In addition, we evaluate the transmission through a finite number of barriers for fermions and zero-spin bosons and relate it with that through a superlattice.

引用

页数：9

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