Low-frequency conductivity in many-body localized systems
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Author
Gopalakrishnan, Sarang
Müller, Markus
Khemani, Vedika
Knap, Michael
Demler, Eugene
Huse, David A.
Published Version
https://doi.org/10.1103/PhysRevB.92.104202Metadata
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Gopalakrishnan, Sarang, Markus Müller, Vedika Khemani, Michael Knap, Eugene Demler, and David A. Huse. 2015. “Low-Frequency Conductivity in Many-Body Localized Systems.” Physical Review B 92 (10). https://doi.org/10.1103/physrevb.92.104202.Abstract
We argue that the ac conductivity sigma(omega) in the many-body localized phase is a power law of frequency omega at low frequency: specifically, sigma(omega) similar to omega(alpha) with the exponent alpha approaching 1 at the phase transition to the thermal phase, and asymptoting to 2 deep in the localized phase. We identify two separate mechanisms giving rise to this power law: deep in the localized phase, the conductivity is dominated by rare resonant pairs of configurations; close to the transition, the dominant contributions are rare regions that are locally critical or in the thermal phase. We present numerical evidence supporting these claims, and discuss how these power laws can also be seen through polarization-decay measurements in ultracold atomic systems.Terms of Use
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http://nrs.harvard.edu/urn-3:HUL.InstRepos:41412209
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