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

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.