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Zero Sound from Holography

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arxiv 0806.3796 v1 pith:7EYTOB4I submitted 2008-06-24 hep-th cond-mat.other

A. Karch , D. T. Son , A. O. Starinets This is my paper · ORCID
classification hep-thcond-mat.other
keywords behaviorliquidssoundtemperaturezerodualexhibitheat
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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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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Flavour current correlators and the non-Abelian hydrodynamic approximation: the charged sector

    hep-th 2026-07 conditional novelty 6.0 of 10

    Isospin-imbalanced strongly coupled dense matter is shown, via holography, to obey non-Abelian hydrodynamic predictions for current correlators up to the chemical-potential scale, beyond the standard ω,k ≪ T regime.

  2. Metallic transports from accelerating black holes

    hep-th 2024-11 conditional novelty 5.0 of 10

    For accelerating AdS black holes, a holographic D-brane calculation gives resistivity scaling T^{2/3} and T^{-1/3}, interpreted as a z=3 quantum liquid phase.

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