@Article{CiCP-23-899,
author = {Silvia Palpacelli and Sauro Succi},
title = {Numerical Evidence of Sinai Diffusion of Random-Mass Dirac Particles},
journal = {Communications in Computational Physics},
year = {2018},
volume = {23},
number = {4},
pages = {899--909},
abstract = {<p style="text-align: justify;">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.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.OA-2016-0239},
url = {http://global-sci.org/intro/article_detail/cicp/11198.html}
}