Quantum Criticality and Black Holes

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Quantum Criticality and Black Holes

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dc.contributor.author Sachdev, Subir
dc.contributor.author Müller, Markus
dc.date.accessioned 2012-01-18T20:14:10Z
dc.date.issued 2009
dc.identifier.citation Sachdev, Subir, and Markus Müller. 2009. Quantum criticality and black holes. Journal of Physics: Condensed Matter 21(16): 164216. en_US
dc.identifier.issn 1361-648X en_US
dc.identifier.issn 0953-8984 en_US
dc.identifier.uri http://nrs.harvard.edu/urn-3:HUL.InstRepos:7777504
dc.description.abstract Many condensed matter experiments explore the finite temperature dynamics of systems near quantum critical points. Often, there are no well-defined quasiparticle excitations, and so quantum kinetic equations do not describe the transport properties completely. The theory shows that the transport coefficients are not proportional to a mean free scattering time (as is the case in the Boltzmann theory of quasiparticles), but are completely determined by the absolute temperature and by equilibrium thermodynamic observables. Recently, explicit solutions of this quantum critical dynamics have become possible via the anti-de Sitter/conformal field theory duality discovered in string theory. This shows that the quantum critical theory provides a holographic description of the quantum theory of black holes in a negatively curved anti-de Sitter space, and relates its transport coefficients to properties of the Hawking radiation from the black hole. We review how insights from this connection have led to new results for experimental systems: (i) the vicinity of the superfluid–insulator transition in the presence of an applied magnetic field, and its possible application to measurements of the Nernst effect in the cuprates, (ii) the magnetohydrodynamics of the plasma of Dirac electrons in graphene and the prediction of a hydrodynamic cyclotron resonance. en_US
dc.description.sponsorship Physics en_US
dc.language.iso en_US en_US
dc.publisher Institute of Physics en_US
dc.relation.isversionof doi:10.1088/0953-8984/21/16/164216 en_US
dc.relation.hasversion http://arxiv.org/abs/0810.3005 en_US
dash.license OAP
dc.subject superconductivity en_US
dc.subject nanoscale science en_US
dc.subject low-D systems en_US
dc.subject structural condensed matter en_US
dc.subject mechanical condensed matter en_US
dc.subject thermal condensed matter en_US
dc.subject gravitation en_US
dc.subject cosmology en_US
dc.subject particle physics en_US
dc.subject statistical physics en_US
dc.subject nonlinear systems en_US
dc.subject strongly correlated electrons en_US
dc.subject high energy physics en_US
dc.title Quantum Criticality and Black Holes en_US
dc.type Journal Article en_US
dc.description.version Author's Original en_US
dc.relation.journal Journal of Physics: Condensed Matter en_US
dash.depositing.author Sachdev, Subir
dc.date.available 2012-01-18T20:14:10Z

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  • FAS Scholarly Articles [7103]
    Peer reviewed scholarly articles from the Faculty of Arts and Sciences of Harvard University

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