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


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
Number of pages10
ISBN (Electronic)9783319723747
ISBN (Print)9783319723730
StatePublished - Apr 25 2018

Bibliographical note

Publisher Copyright:
© Springer International Publishing AG, part of Springer Nature 2018.


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