Volume 23, Issue 4
Numerical Evidence of Sinai Diffusion of Random-Mass Dirac Particles

Silvia Palpacelli and Sauro Succi

10.4208/cicp.OA-2016-0239

Commun. Comput. Phys., 23 (2018), pp. 899-909.

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  • 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 zeromean. 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.

  • History

Published online: 2018-04

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