Quantum lattice boltzmann study of random-mass dirac fermions in one dimension

Ch B. Mendl, S. Palpacelli, A. Kamenev, S. Succi

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

We study the time evolution of quenched random-mass Dirac fermions in one dimension by quantum lattice Boltzmann simulations. For nonzero noise strength, the diffusion of an initial wave packet stops after a finite time interval, reminiscent of Anderson localization. However, instead of exponential localization we find algebraically decaying tails in the disorder-averaged density distribution. These qualitatively match a x -3/2 decay, which has been predicted by analytic calculations based on zero-energy solutions of the Dirac equation.

Original languageEnglish (US)
Title of host publicationMany-body Approaches at Different Scales
Subtitle of host publicationA Tribute to Norman H. March on the Occasion of his 90th Birthday
PublisherSpringer International Publishing
Pages321-330
Number of pages10
ISBN (Electronic)9783319723747
ISBN (Print)9783319723730
DOIs
StatePublished - Apr 25 2018

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