Self-consistent approach to many-body localization and subdiffusion

Self-consistent approach to many-body localization and subdiffusion An analytical theory, based on the perturbative treatment of the disorder and extended into a self-consistent set of equations for the dynamical density correlations, is developed and applied to the prototype one-dimensional model of many-body localization. Results show a qualitative agreement with the numerically obtained dynamical structure factor in the whole range of frequencies and wave vectors, as well as across the transition to nonergodic behavior. The theory reveals the singular nature of the one-dimensional problem, whereby on the ergodic side the dynamics is subdiffusive with dynamical conductivity σ(ω)∝|ω|α, i.e., with vanishing dc limit σ0=0 and α<1 varying with disorder, while we get α>1 in the localized phase. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Physical Review B American Physical Society (APS)

Self-consistent approach to many-body localization and subdiffusion

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Self-consistent approach to many-body localization and subdiffusion

Abstract

An analytical theory, based on the perturbative treatment of the disorder and extended into a self-consistent set of equations for the dynamical density correlations, is developed and applied to the prototype one-dimensional model of many-body localization. Results show a qualitative agreement with the numerically obtained dynamical structure factor in the whole range of frequencies and wave vectors, as well as across the transition to nonergodic behavior. The theory reveals the singular nature of the one-dimensional problem, whereby on the ergodic side the dynamics is subdiffusive with dynamical conductivity σ(ω)∝|ω|α, i.e., with vanishing dc limit σ0=0 and α<1 varying with disorder, while we get α>1 in the localized phase.
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Publisher
The American Physical Society
Copyright
Copyright © ©2017 American Physical Society
ISSN
1098-0121
eISSN
1550-235X
D.O.I.
10.1103/PhysRevB.96.035130
Publisher site
See Article on Publisher Site

Abstract

An analytical theory, based on the perturbative treatment of the disorder and extended into a self-consistent set of equations for the dynamical density correlations, is developed and applied to the prototype one-dimensional model of many-body localization. Results show a qualitative agreement with the numerically obtained dynamical structure factor in the whole range of frequencies and wave vectors, as well as across the transition to nonergodic behavior. The theory reveals the singular nature of the one-dimensional problem, whereby on the ergodic side the dynamics is subdiffusive with dynamical conductivity σ(ω)∝|ω|α, i.e., with vanishing dc limit σ0=0 and α<1 varying with disorder, while we get α>1 in the localized phase.

Journal

Physical Review BAmerican Physical Society (APS)

Published: Jul 17, 2017

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