Thermal diffusivity and chaos in metals without quasiparticles
Name
PhysRevD.96.106008.pdf
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211.36 KB
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Author(s)
Davison, Richard A.
Sachdev, Subir
Blake, Michael Andrew
Date Issued
November 2017
Journal
Physical Review D
Publisher
American Physical Society
Citation
Blake, Mike et al. "Thermal diffusivity and chaos in metals without quasiparticles." Physical Review D 96, 10 (November 2017): 106008 © 2017 American Physical Society
Version
Final published version
Abstract
We study the thermal diffusivity D[subscript T] in models of metals without quasiparticle excitations (“strange metals”). The many-body quantum chaos and transport properties of such metals can be efficiently described by a holographic representation in a gravitational theory in an emergent curved spacetime with an additional spatial dimension. We find that at generic infrared fixed points D[subscript T] is always related to parameters characterizing many-body quantum chaos: the butterfly velocity v[subscript B] and Lyapunov time τ[subscript L] through D[subscript T]∼v[subscript B][superscript 2]τ[subscript L]. The relationship holds independently of the charge density, periodic potential strength, or magnetic field at the fixed point. The generality of this result follows from the observation that the thermal conductivity of strange metals depends only on the metric near the horizon of a black hole in the emergent spacetime and is otherwise insensitive to the profile of any matter fields.
MIT Department
Massachusetts Institute of Technology. Center for Theoretical Physics
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DOI of Published Version
https://doi.org/10.1103/PhysRevD.96.106008
