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

Stanford University
Hyperlean s.r.l.
University of Minnesota
IAC Istituto per le Applicazioni del Calcolo
Harvard John A. Paulson School of Engineering and Applied Sciences

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

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
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 - 25 Apr 2018
Externally published	Yes

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

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title = "Quantum lattice boltzmann study of random-mass dirac fermions in one dimension",

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",

note = "Publisher Copyright: {\textcopyright} 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. / 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. p. 321-330.

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

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AU - Palpacelli, S.

AU - Kamenev, A.

AU - Succi, S.

PY - 2018/4/25

Y1 - 2018/4/25

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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SP - 321

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BT - Many-body Approaches at Different Scales

PB - Springer International Publishing

ER -

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

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