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

• 来源期刊: 理论物理通讯(英文版)
• 学科: 物理学
• 关键词: 狄拉克方程 一维系统 准粒子 相对论粒子 Dirac粒子 悖论 狄拉克粒子 tic颗粒
• 年，卷（期）: 2010,（12）
• 页码范围: 1129-1133
• 页数: 5页
• 分类号: O413.1 O413
• 语种: 英文

摘要

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