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Ohm's Law at strong coupling: S duality and the cyclotron resonance
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We calculate the electrical and thermal conductivities and the thermoelectric coefficient of a class of strongly interacting 2+1 dimensional conformal field theories with anti-de Sitter space duals. We obtain these transport coefficients as a function of charge density, background magnetic field, temperature and frequency. We show that the thermal conductivity and thermoelectric coefficient are determined by the electrical conductivity alone. At small frequency, in the hydrodynamic limit, we are able to provide a number of analytic formulae for the electrical conductivity. A dominant feature of the conductivity is the presence of a cyclotron pole. We show how bulk electromagnetic duality acts on the transport coefficients.
Forward citations
Cited by 2 Pith papers
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Interaction induced quasi-particle spectrum and the origin of the pinning peak in holography
Holographic models with non-minimal interactions produce new quasi-particle spectra that explain pinning peaks as arising from vortex formation due to interaction-induced anomalous magnetic moments.
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Approximate higher-form symmetries and dualities of massive p-forms in the holographic bulk
Develops a holographic realization of approximate higher-form symmetries via massive antisymmetric tensor fields and derives dualities between boundary theories from bulk Hodge dualities, including constraints on curr...
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