Resistivity bound for hydrodynamic bad metals
Abstract
Significance In conventional metals, momentum-relaxing scattering determines the electrical resistivity. In contrast, the resistivity of many strongly correlated metals, across multiple portions of their phase diagrams, is controlled by the electronic mean free path for momentum-conserving interactions . We propose that this universality arises in a hydrodynamic limit, where is short. In this limit, we prove that the resistivity can be bounded by incoherent diffusion constants associated with momentum-conserving collisions. In the presence of a nonthermal incoherent diffusive mode—such as an imbalance mode for the charge in different Fermi bands—we find that saturation of our diffusion-limited transport bound implies , as observed in experiments.
- Authors:
-
- Department of Physics, Stanford University, Stanford, CA 94305
- Publication Date:
- Sponsoring Org.:
- USDOE
- OSTI Identifier:
- 1398834
- Grant/Contract Number:
- SC0008169
- Resource Type:
- Published Article
- Journal Name:
- Proceedings of the National Academy of Sciences of the United States of America
- Additional Journal Information:
- Journal Name: Proceedings of the National Academy of Sciences of the United States of America Journal Volume: 114 Journal Issue: 43; Journal ID: ISSN 0027-8424
- Publisher:
- Proceedings of the National Academy of Sciences
- Country of Publication:
- United States
- Language:
- English
Citation Formats
Lucas, Andrew, and Hartnoll, Sean A. Resistivity bound for hydrodynamic bad metals. United States: N. p., 2017.
Web. doi:10.1073/pnas.1711414114.
Lucas, Andrew, & Hartnoll, Sean A. Resistivity bound for hydrodynamic bad metals. United States. https://doi.org/10.1073/pnas.1711414114
Lucas, Andrew, and Hartnoll, Sean A. Tue .
"Resistivity bound for hydrodynamic bad metals". United States. https://doi.org/10.1073/pnas.1711414114.
@article{osti_1398834,
title = {Resistivity bound for hydrodynamic bad metals},
author = {Lucas, Andrew and Hartnoll, Sean A.},
abstractNote = {Significance In conventional metals, momentum-relaxing scattering determines the electrical resistivity. In contrast, the resistivity of many strongly correlated metals, across multiple portions of their phase diagrams, is controlled by the electronic mean free path for momentum-conserving interactions ρ ∝ 1 / ℓ ee . We propose that this universality arises in a hydrodynamic limit, where ℓ ee is short. In this limit, we prove that the resistivity can be bounded by incoherent diffusion constants associated with momentum-conserving collisions. In the presence of a nonthermal incoherent diffusive mode—such as an imbalance mode for the charge in different Fermi bands—we find that saturation of our diffusion-limited transport bound implies ρ ∝ 1 / ℓ ee , as observed in experiments.},
doi = {10.1073/pnas.1711414114},
journal = {Proceedings of the National Academy of Sciences of the United States of America},
number = 43,
volume = 114,
place = {United States},
year = {2017},
month = {10}
}
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https://doi.org/10.1073/pnas.1711414114
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