Low-frequency conductivity in many-body localized systems
By S. Gopalakrishnan, Markus Mueller, V. Khemani, Michael Jason Knap, E. Demler, D. Huse. 2015
151 citations recorded by the source corpus.
We argue that the a.c. conductivity $\sigma(\omega)$ in the many-body localized phase is a power law of frequency $\omega$ at low frequency: specifically, $\sigma(\omega) \sim \omega^\alpha$ 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.
Subfields: Atomic and Molecular Physics, and Optics, Condensed Matter Physics
View Paper: https://www.semanticscholar.org/paper/471c28a31dad527e935f077585802d059e076b8d
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In Atomic and Molecular Physics, and Optics
In Condensed Matter Physics
Citations in the corpus
- Many-body localization: An introduction and selected topics (2017, unknown): “Another type of correlator was also shown to be useful in this context.”
- Critical Properties of the Many-Body Localization Transition (2016, background): “It would also be interesting to see the evolution of these clusters across the transition and whether they connect with the rare thermal Griffiths regions that dominate the low-frequency dynamics deep in the MBL phase [24,37].”
- Nonequilibrium quantum dynamics and transport: from integrability to many-body localization (2016, background): “Interestingly, signatures of this anomalously slow dynamics in the thermal phase can be observed in the scaling of the optical conductivity [127, 129]”
- Avalanches and many-body resonances in many-body localized systems (2021, background): “The MBL phase, and more generally Anderson localized phases, are gapless critical phases, with slow dynamics due to resonances and near-resonances, as emphasized early on by Mott [11, 12, 43, 44].”