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arXiv · 1511.00713

DC Conductivity of Magnetised Holographic Matter

Aristomenis Donos·Jerome P. Gauntlett·Tom Griffin·Luis Melgar
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Abstract

We consider general black hole solutions of Einstein-Maxwell-scalar theory that are holographically dual to conformal field theories at finite charge density with non-vanishing magnetic fields and local magnetisation currents, which generically break translation invariance explicitly. We show that the thermoelectric DC conductivity of the field theory can be obtained by solving a system of generalised Stokes equations on the black hole horizon. For various examples, including Q-lattices and one-dimensional lattices, we solve the Stokes equations explicitly and obtain expressions for the DC conductivity in terms of the solution at the black hole horizon.

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Aristomenis Donos, Jerome P. Gauntlett, Tom Griffin, Luis Melgar. 2016-01-16. DC Conductivity of Magnetised Holographic Matter. https://doi.org/10.1007/jhep01(2016)113

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