Klein Tunneling in the presence of random impurities
Abstract
In this paper, we study Klein tunneling in random media. To this purpose, we simulate the propagation of a relativistic Gaussian wavepacket through a graphene sample with randomly distributed potential barriers (impurities). The simulations, based on a relativistic quantum lattice Boltzmann method, permit to compute the transmission coefficient across the sample, thereby providing an estimate for the conductivity as a function of impurity concentration and strength of the potentials. It is found that the conductivity loss due to impurities is significantly higher for wave-packets of massive particles, as compared to massless ones. A general expression for the loss of conductivity as a function of the impurity percentage is presented and successfully compared with the Kozeny-Carman law for disordered media in classical fluid dynamics.
Keywords
Cite
@article{arxiv.1202.6217,
title = {Klein Tunneling in the presence of random impurities},
author = {S. Palpacelli and M. Mendoza and H. J. Herrmann and S. Succi},
journal= {arXiv preprint arXiv:1202.6217},
year = {2013}
}
Comments
12 pages, 38 figures