@Article{CiCP-23-899, author = {}, 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 = {

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.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.OA-2016-0239}, url = {http://global-sci.org/intro/article_detail/cicp/11198.html} }