Numerical evidence of Sinai diffusion of random-mass Dirac particles

Silvia Palpacelli; Sauro Succi

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arXiv · 1612.08541

Numerical evidence of Sinai diffusion of random-mass Dirac particles

Silvia Palpacelli·Sauro Succi

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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 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.

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Silvia Palpacelli, Sauro Succi. 2016-12-27. Numerical evidence of Sinai diffusion of random-mass Dirac particles. https://arxiv.org/abs/1612.08541

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