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dc.contributor.authorHartnoll, Sean A.
dc.contributor.authorKovtun, Pavel K.
dc.contributor.authorMüller, Markus
dc.contributor.authorSachdev, Subir
dc.date.accessioned2019-09-27T13:15:02Z
dc.date.issued2007
dc.identifier.citationHartnoll, Sean A., Pavel K. Kovtun, Markus Müller, and Subir Sachdev. 2007. “Theory of the Nernst Effect near Quantum Phase Transitions in Condensed Matter and in Dyonic Black Holes.” Physical Review B 76 (14). https://doi.org/10.1103/physrevb.76.144502.
dc.identifier.issn1098-0121
dc.identifier.issn1550-235X
dc.identifier.urihttp://nrs.harvard.edu/urn-3:HUL.InstRepos:41417250*
dc.description.abstractWe present a general hydrodynamic theory of transport in the vicinity of superfluid-insulator transitions in two spatial dimensions described by "Lorentz"-invariant quantum critical points. We allow for a weak impurity scattering rate, a magnetic field B, and a deviation in the density rho from that of the insulator. We show that the frequency-dependent thermal and electric linear response functions, including the Nernst coefficient, are fully determined by a single transport coefficient (a universal electrical conductivity), the impurity scattering rate, and a few thermodynamic state variables. With reasonable estimates for the parameters, our results predict a magnetic field and temperature dependence of the Nernst signal which resembles measurements in the cuprates, including the overall magnitude. Our theory predicts a "hydrodynamic cyclotron mode" which could be observable in ultrapure samples. We also present exact results for the zero frequency transport coefficients of a supersymmetric conformal field theory (CFT), which is solvable by the anti-de Sitter (AdS)/CFT correspondence. This correspondence maps the rho and B perturbations of the 2+1 dimensional CFT to electric and magnetic charges of a black hole in the 3+1 dimensional anti-de Sitter space. These exact results are found to be in full agreement with the general predictions of our hydrodynamic analysis in the appropriate limiting regime. The mapping of the hydrodynamic and AdS/CFT results under particle-vortex duality is also described.
dc.language.isoen_US
dc.publisherAmerican Physical Society
dash.licenseLAA
dc.titleTheory of the Nernst effect near quantum phase transitions in condensed matter and in dyonic black holes
dc.typeJournal Article
dc.description.versionAccepted Manuscript
dc.relation.journalPhysical Review B - Condensed Matter and Materials Physics
dash.depositing.authorSachdev, Subir::01f180804aa3dee76221c3e9d66397f5::600
dc.date.available2019-09-27T13:15:02Z
dash.workflow.comments1Science Serial ID 76459
dc.identifier.doi10.1103/PhysRevB.76.144502
dash.source.volume76;14


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