Quantum criticality and black holes

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dc.creatorSachdev, Subir
dc.creatorMueller, Markus
dc.date2008-10-17
dc.date.accessioned2026-07-07T12:57:59Z
dc.date.available2026-07-07T12:57:59Z
dc.descriptionMany 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 co-efficients 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 AdS/CFT 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 co-efficients 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.
dc.description12 pages, 2 figures; Talk at LT25, Amsterdam
dc.identifierhttps://arxiv.org/abs/0810.3005
dc.identifierhttp://arxiv.org/abs/0810.3005
dc.identifierJ. Phys.: Condens. Matter 21 (2009) 164216
dc.identifierdoi:10.1088/0953-8984/21/16/164216
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/225096
dc.subjectStrongly Correlated Electrons
dc.subjectHigh Energy Physics - Theory
dc.titleQuantum criticality and black holes
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