Klein Tunneling in the presence of random impurities
arXiv:1202.6217 · doi:10.1142/S0129183112500805
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.
arXiv comment12 pages, 38 figures
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Cited by in corpus (5)
- Modeling Klein tunneling and caustics of electron waves in graphene
- Quantum Lattice Boltzmann is a quantum walk
- Confining massless Dirac particles in two-dimensional curved space
- Numerical quasi-conformal transformations for electron dynamics on strained graphene surfaces
- Electronic transport in disordered graphene superlattices with scale-free correlated barrier spacements