Numerical evidence of Sinai diffusion of random-mass Dirac particles
Computational Physics
2016-12-28 v1 Statistical Mechanics
Abstract
We present quantum Lattice Boltzmann simulations of the Dirac equation for quantum-relativistic particles with random mass. By choosing zero-average random mass fluctuation, the simulations show evidence of localization and ultra-slow Sinai diffusion, due to the interference of oppositely propagating branches of the quantum wavefunction which result from random sign changes of the mass around a zero-mean. The present results indicate that the quantum lattice Boltzmann scheme may offer a viable tool for the numerical simulation of quantum-relativistic transport phenomena in topological materials.
Keywords
Cite
@article{arxiv.1612.08541,
title = {Numerical evidence of Sinai diffusion of random-mass Dirac particles},
author = {Silvia Palpacelli and Sauro Succi},
journal= {arXiv preprint arXiv:1612.08541},
year = {2016}
}
Comments
12 pages, 5 figures, submitted to Communications in Computational Physics for the DSFD 2016 special issue