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Zero sound from holography

Zero sound from holography
Zero sound from holography
Quantum liquids are characterized by the distinctive properties such as the low temperature behavior of heat capacity and the spectrum of low-energy quasiparticle excitations. In particular, at low temperature, Fermi liquids exhibit the zero sound, predicted by L. D. Landau in 1957 and subsequently observed in liquid He-3. In this paper, we ask a question whether such a characteristic behavior is present in theories with holographically dual description. We consider a class of gauge theories with fundamental matter fields whose holographic dual in the appropriate limit is given in terms of the Dirac-Born-Infeld action in AdS_{p+1} space. An example of such a system is the N=4 SU(N_c) supersymmetric Yang-Mills theory with N_f massless N=2 hypermultiplets at strong coupling, finite baryon number density, and low temperature. We find that these systems exhibit a zero sound mode despite having a non-Fermi liquid type behavior of the specific heat. These properties suggest that holography identifies a new type of quantum liquids.
1-10
Karch, A.
c837fe48-c483-47fe-9f92-e09c17ba7325
Son, D.T.
ed0be92f-7091-46f3-b475-9b907022dc11
Starinets, A.O.
c38a7047-d3e8-46f0-877e-a7a23534a246
Karch, A.
c837fe48-c483-47fe-9f92-e09c17ba7325
Son, D.T.
ed0be92f-7091-46f3-b475-9b907022dc11
Starinets, A.O.
c38a7047-d3e8-46f0-877e-a7a23534a246

Karch, A., Son, D.T. and Starinets, A.O. (2008) Zero sound from holography. Pre-print, 1-10. (doi:10.1103/PhysRevLett.102.051602). (Submitted)

Record type: Article

Abstract

Quantum liquids are characterized by the distinctive properties such as the low temperature behavior of heat capacity and the spectrum of low-energy quasiparticle excitations. In particular, at low temperature, Fermi liquids exhibit the zero sound, predicted by L. D. Landau in 1957 and subsequently observed in liquid He-3. In this paper, we ask a question whether such a characteristic behavior is present in theories with holographically dual description. We consider a class of gauge theories with fundamental matter fields whose holographic dual in the appropriate limit is given in terms of the Dirac-Born-Infeld action in AdS_{p+1} space. An example of such a system is the N=4 SU(N_c) supersymmetric Yang-Mills theory with N_f massless N=2 hypermultiplets at strong coupling, finite baryon number density, and low temperature. We find that these systems exhibit a zero sound mode despite having a non-Fermi liquid type behavior of the specific heat. These properties suggest that holography identifies a new type of quantum liquids.

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More information

Submitted date: 24 June 2008
Additional Information: arXiv:0806.3796

Identifiers

Local EPrints ID: 64271
URI: http://eprints.soton.ac.uk/id/eprint/64271
PURE UUID: ec6a21f0-8f21-403e-98d5-3c515e0a17a2

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Date deposited: 13 Jan 2009
Last modified: 15 Mar 2024 11:47

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Contributors

Author: A. Karch
Author: D.T. Son
Author: A.O. Starinets

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