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2015

Dissecting holographic conductivities

Davison, Richard A., Goutéraux, Blaise

Understand

The DC thermoelectric conductivities of holographic systems in which translational symmetry is broken can be efficiently computed in terms of the near-horizon data of the dual black hole.

By calculating the frequency dependent conductivities to the first subleading order in the momentum relaxation rate, we give a physical explanation for these conductivities in the simplest such example, in the limit of slow momentum relaxation.
Specifically, we decompose each conductivity into the sum of a coherent contribution due to momentum relaxation and an incoherent contribution, due to intrinsic current relaxation.
This decomposition is different from those previously proposed, and is consistent with the known hydrodynamic properties in the translationally invariant limit.