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Holographic zero sound from spacetime-filling branes

Holographic zero sound from spacetime-filling branes
Holographic zero sound from spacetime-filling branes

We use holography to study sound modes of strongly-interacting conformal field theories with non-zero temperature, T , and U(1) chemical potential, μ. Specifically, we consider charged black brane solutions of Einstein gravity in (3+1)-dimensional Anti-de Sitter space coupled to a U(1) gauge field with Dirac-Born-Infeld action, representing a spacetime-filling brane. The brane action has two free parameters: the tension and the non-linearity parameter, which controls higher-order terms in the field strength. For all values of the tension, non-linearity parameter, and T /μ, and at sufficiently small momentum, we find sound modes with speed given by the conformal value and attenuation constant of hydrodynamic form. In particular we find sound at arbitrarily low T /μ, outside the usual hydrodynamic regime, but in the regime where a Fermi liquid exhibits Landau’s “zero” sound. In fact, the sound attenuation constant as a function of T /μ qualitatively resembles that of a Fermi liquid, including a maximum, which in a Fermi liquid signals the collisionless to hydrodynamic crossover. We also explore regimes of the tension and non-linearity parameter where two other proposed definitions of the crossover are viable, via pole collisions in Green’s functions or peak movement in the charge density spectral function.

AdS-CFT Correspondence, Gauge-gravity correspondence, Holography and condensed matter physics (AdS/CMT)
1126-6708
Gushterov, Nikola I.
dc0f41ee-66a0-4e9f-91e4-f623515b96d2
O’Bannon, Andy
f0c14b6c-5b74-4319-8432-f9eba1e20cf3
Rodgers, Ronnie
50624100-db56-478e-9b46-0db869df1020
Gushterov, Nikola I.
dc0f41ee-66a0-4e9f-91e4-f623515b96d2
O’Bannon, Andy
f0c14b6c-5b74-4319-8432-f9eba1e20cf3
Rodgers, Ronnie
50624100-db56-478e-9b46-0db869df1020

Gushterov, Nikola I., O’Bannon, Andy and Rodgers, Ronnie (2018) Holographic zero sound from spacetime-filling branes. Journal of High Energy Physics, 2018 (10), [76]. (doi:10.1007/JHEP10(2018)076).

Record type: Article

Abstract

We use holography to study sound modes of strongly-interacting conformal field theories with non-zero temperature, T , and U(1) chemical potential, μ. Specifically, we consider charged black brane solutions of Einstein gravity in (3+1)-dimensional Anti-de Sitter space coupled to a U(1) gauge field with Dirac-Born-Infeld action, representing a spacetime-filling brane. The brane action has two free parameters: the tension and the non-linearity parameter, which controls higher-order terms in the field strength. For all values of the tension, non-linearity parameter, and T /μ, and at sufficiently small momentum, we find sound modes with speed given by the conformal value and attenuation constant of hydrodynamic form. In particular we find sound at arbitrarily low T /μ, outside the usual hydrodynamic regime, but in the regime where a Fermi liquid exhibits Landau’s “zero” sound. In fact, the sound attenuation constant as a function of T /μ qualitatively resembles that of a Fermi liquid, including a maximum, which in a Fermi liquid signals the collisionless to hydrodynamic crossover. We also explore regimes of the tension and non-linearity parameter where two other proposed definitions of the crossover are viable, via pole collisions in Green’s functions or peak movement in the charge density spectral function.

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Gushterov 2018 Article Holographic Zero Sound From Spacet - Version of Record
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More information

Accepted/In Press date: 4 October 2018
e-pub ahead of print date: 11 October 2018
Published date: October 2018
Keywords: AdS-CFT Correspondence, Gauge-gravity correspondence, Holography and condensed matter physics (AdS/CMT)

Identifiers

Local EPrints ID: 425935
URI: http://eprints.soton.ac.uk/id/eprint/425935
ISSN: 1126-6708
PURE UUID: a71573c7-9adb-47b2-a0fb-7ff988ac3042
ORCID for Andy O’Bannon: ORCID iD orcid.org/0000-0001-7862-783X
ORCID for Ronnie Rodgers: ORCID iD orcid.org/0000-0002-4826-6540

Catalogue record

Date deposited: 07 Nov 2018 17:30
Last modified: 07 Oct 2020 02:08

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