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

Publikation: Beitrag in Buch/Bericht/Konferenzband › Kapitel › Begutachtung

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.

Originalsprache	Englisch
Titel	Many-body Approaches at Different Scales
Untertitel	A Tribute to Norman H. March on the Occasion of his 90th Birthday
Herausgeber (Verlag)	Springer International Publishing
Seiten	321-330
Seitenumfang	10
ISBN (elektronisch)	9783319723747
ISBN (Print)	9783319723730
DOIs	https://doi.org/10.1007/978-3-319-72374-7_26
Publikationsstatus	Veröffentlicht - 25 Apr. 2018
Extern publiziert	Ja

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

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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.",

author = "Mendl, {Ch B.} and S. Palpacelli and A. Kamenev and S. Succi",

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Quantum lattice boltzmann study of random-mass dirac fermions in one dimension. / Mendl, Ch B.; Palpacelli, S.; Kamenev, A. et al.
Many-body Approaches at Different Scales: A Tribute to Norman H. March on the Occasion of his 90th Birthday. Springer International Publishing, 2018. S. 321-330.

Publikation: Beitrag in Buch/Bericht/Konferenzband › Kapitel › Begutachtung

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N2 - 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.

AB - 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.

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

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