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.
{ "license": [ { "url": "https://creativecommons.org/licenses/by/3.0", "license": "CC-BY-3.0" } ], "copyright": [ { "material": "Article", "holder": "The Author(s)", "year": "2018" } ], "control_number": "43661", "_oai": { "updated": "2018-12-13T12:29:26Z", "id": "oai:repo.scoap3.org:43661", "sets": [ "JHEP" ] }, "authors": [ { "affiliations": [ { "country": "UK", "value": "Rudolf Peierls Centre for Theoretical Physics, University of Oxford, Department of Physics, Clarendon Laboratory, Oxford, OX1 3NU, U.K.", "organization": "Rudolf Peierls Centre for Theoretical Physics, University of Oxford, Department of Physics, Clarendon Laboratory" } ], "surname": "Gushterov", "email": "nikola.gushterov@physics.ox.ac.uk", "full_name": "Gushterov, Nikola", "given_names": "Nikola" }, { "affiliations": [ { "country": "UK", "value": "STAG Research Centre, Physics and Astronomy, University of Southampton Highfield, Southampton, SO17 1BJ, U.K.", "organization": "University of Southampton Highfield" } ], "surname": "O\u2019Bannon", "email": "a.obannon@soton.ac.uk", "full_name": "O\u2019Bannon, Andy", "given_names": "Andy" }, { "affiliations": [ { "country": "UK", "value": "STAG Research Centre, Physics and Astronomy, University of Southampton Highfield, Southampton, SO17 1BJ, U.K.", "organization": "University of Southampton Highfield" } ], "surname": "Rodgers", "email": "r.j.rodgers@soton.ac.uk", "full_name": "Rodgers, Ronnie", "given_names": "Ronnie" } ], "_files": [ { "checksum": "md5:8626aa63c0b4d7912ed25189639e5cfe", "filetype": "xml", "bucket": "3efc3c4f-b4fb-4971-a1fc-602e25f87de1", "version_id": "b0a3781f-6470-4f8f-b1e0-ad3b84dfbeae", "key": "10.1007/JHEP10(2018)076.xml", "size": 11093 }, { "checksum": "md5:a3d86f6fb4bdfd1fce566590394df882", "filetype": "pdf/a", "bucket": "3efc3c4f-b4fb-4971-a1fc-602e25f87de1", "version_id": "f683c76e-b1be-426d-b56c-e5b5ecdcdea3", "key": "10.1007/JHEP10(2018)076_a.pdf", "size": 2249903 } ], "record_creation_date": "2018-11-19T17:20:20.757324", "titles": [ { "source": "Springer", "title": "Holographic zero sound from spacetime-filling branes" } ], "collections": [ { "primary": "Journal of High Energy Physics" } ], "dois": [ { "value": "10.1007/JHEP10(2018)076" } ], "publication_info": [ { "page_end": "58", "journal_title": "Journal of High Energy Physics", "material": "article", "journal_volume": "2018", "year": 2018, "page_start": "1", "journal_issue": "10" } ], "$schema": "http://repo.scoap3.org/schemas/hep.json", "abstracts": [ { "source": "Springer", "value": "We use holography to study sound modes of strongly-interacting conformal field theories with non-zero temperature, T , and U(1) chemical potential, \u03bc. 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 /\u03bc, 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 /\u03bc, outside the usual hydrodynamic regime, but in the regime where a Fermi liquid exhibits Landau\u2019s \u201czero\u201d sound. In fact, the sound attenuation constant as a function of T /\u03bc 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\u2019s functions or peak movement in the charge density spectral function." } ], "imprints": [ { "date": "2018-10-11", "publisher": "Springer" } ], "acquisition_source": { "date": "2018-12-13T12:38:25.070970", "source": "Springer", "method": "Springer", "submission_number": "42304adefecb11e89d4902163e01809a" } }