{ "id": "0806.3796", "version": "v1", "published": "2008-06-24T01:17:01.000Z", "updated": "2008-06-24T01:17:01.000Z", "title": "Zero Sound from Holography", "authors": [ "A. Karch", "D. T. Son", "A. O. Starinets" ], "comment": "10 pages", "journal": "Phys.Rev.Lett. 102 (2009) 051602", "doi": "10.1103/PhysRevLett.102.051602", "categories": [ "hep-th", "cond-mat.other" ], "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.", "revisions": [ { "version": "v1", "updated": "2008-06-24T01:17:01.000Z" } ], "analyses": { "subjects": [ "11.25.Tq", "61.20.Gy", "11.10.Wx", "67.10.-j" ], "keywords": [ "holography", "quantum liquids", "non-fermi liquid type behavior", "zero sound mode despite", "finite baryon number density" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Phys. Rev. Lett." }, "note": { "typesetting": "TeX", "pages": 10, "language": "en", "license": "arXiv", "status": "editable", "inspire": 788976, "adsabs": "2008arXiv0806.3796K" } } }