TY - JOUR
T1 - Numerical Evidence of Sinai Diffusion of Random-Mass Dirac Particles
AU - Silvia Palpacelli & Sauro Succi
JO - Communications in Computational Physics
VL - 4
SP - 899
EP - 909
PY - 2018
DA - 2018/04
SN - 23
DO - http://doi.org/10.4208/cicp.OA-2016-0239
UR - https://global-sci.org/intro/article_detail/cicp/11198.html
KW - Sinai diffusion, Anderson localization, QLB method, Dirac equation, random mass.
AB - <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>