Klein Paradox and Disorder-Induced Delocalization of Dirac Quasiparticles in One-Dimensional Systems

被引：2

作者：

Yuan Jian-Hui ^{[1
]}

Cheng Ze ^{[1
]}

Yin Miao ^{[1
]}

Zeng Qi-Jun ^{[1
]}

Zhang Jun-Pei ^{[1
]}

机构：

[1] Huazhong Univ Sci & Technol, Dept Phys, Wuhan 430074, Peoples R China

来源：

COMMUNICATIONS IN THEORETICAL PHYSICS | 2010年 / 54卷 / 06期

基金：

中国国家自然科学基金;

关键词：

Anderson localization; disordered structures; quantum transport; localized states; SCALING THEORY; LOCALIZATION; RESISTANCE; DIFFUSION; FERMIONS; ABSENCE;

D O I：

10.1088/0253-6102/54/6/29

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Dirac particle penetration is studied theoretically with Dirac equation in one-dimensional systems. We investigate a one-dimensional system with N barriers where both barrier height and well width are constants randomly distributed in certain range. The one-parameter scaling theory for nonrelativistic particles is still valid for massive Dirac particles. In the same disorder sample, we find that the localization length of relativistic particles is always larger than that of nonrelativistic particles and the transmission coefficient related to incident particle in both cases fits the form T similar to exp(-alpha L). More interesting, massless relativistic particles are entirely delocalized no matter how big the energy of incident particles is.

引用

页码：1129 / 1133

页数：5

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