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

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

doi:10.1007/978-3-319-72374-7_26

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

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

Physics and Astronomy (Twin Cities)

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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 language	English (US)
Title of host publication	Many-body Approaches at Different Scales
Subtitle of host publication	A Tribute to Norman H. March on the Occasion of his 90th Birthday
Publisher	Springer International Publishing
Pages	321-330
Number of pages	10
ISBN (Electronic)	9783319723747
ISBN (Print)	9783319723730
DOIs	https://doi.org/10.1007/978-3-319-72374-7_26
State	Published - Apr 25 2018

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© Springer International Publishing AG, part of Springer Nature 2018.

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

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