Drude in D major
Drude in D major
We study holographic momentum relaxation in the limit of a large number of spacetime dimensions D. For an axion model we find that momentum conservation is restored as D becomes large. To compensate we scale the strength of the sources with D so that momentum is relaxed even at infinite D. We analytically obtain the quasi-normal modes which control electric and heat transport, and give their frequencies in a 1/D expansion. We also obtain the AC thermal conductivity as an expansion in 1/D, which at leading order takes Drude form. To order 1/D our analytical result provides a reasonable approximation to the AC conductivity even at D=4, establishing large D as a practical method in this context. As a further application, we discuss the signature of the transition from coherent to incoherent behaviour known to exist in the system for finite D.
Holography, holography and condensed matter physics (AdS/CMT)
Andrade, Tomas
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Gentle, Simon
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Withers, Benjamin
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June 2019
Andrade, Tomas
a327fef9-54cd-4777-ad05-6fb9036512a0
Gentle, Simon
a0608684-b093-43de-87d8-492796ae7a4f
Withers, Benjamin
e510375b-c5d2-4d5f-bd68-40ace13f0ec9
Andrade, Tomas, Gentle, Simon and Withers, Benjamin
(2019)
Drude in D major.
Journal of High Energy Physics, 2016 (06), [134].
(doi:10.1007/JHEP06(2016)134).
Abstract
We study holographic momentum relaxation in the limit of a large number of spacetime dimensions D. For an axion model we find that momentum conservation is restored as D becomes large. To compensate we scale the strength of the sources with D so that momentum is relaxed even at infinite D. We analytically obtain the quasi-normal modes which control electric and heat transport, and give their frequencies in a 1/D expansion. We also obtain the AC thermal conductivity as an expansion in 1/D, which at leading order takes Drude form. To order 1/D our analytical result provides a reasonable approximation to the AC conductivity even at D=4, establishing large D as a practical method in this context. As a further application, we discuss the signature of the transition from coherent to incoherent behaviour known to exist in the system for finite D.
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Andrade2016_Article_DrudeInDMajor
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Accepted/In Press date: 19 December 2015
e-pub ahead of print date: 22 June 2016
Published date: June 2019
Keywords:
Holography, holography and condensed matter physics (AdS/CMT)
Identifiers
Local EPrints ID: 435973
URI: http://eprints.soton.ac.uk/id/eprint/435973
ISSN: 1029-8479
PURE UUID: 32a5e9b3-06cb-4743-81e8-0ea74cd9ec17
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Date deposited: 25 Nov 2019 17:30
Last modified: 17 Mar 2024 02:27
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Author:
Tomas Andrade
Author:
Simon Gentle
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