Conductivities from attractors

Abstract

In the context of applications of the AdS/CFT correspondence to condensed matter physics, we compute conductivities for field theory duals of dyonic planar black holes in 3+1-dimensional Einstein-Maxwell-dilaton theories at zero temperature. We combine the near-horizon data obtained via Sen's entropy function formalism with known expressions for conductivities. In this way we express the conductivities in terms of the extremal black hole charges. We apply our approach to three different examples for dilaton theories for which the background geometry is not known explicitly. For a constant scalar potential, the thermoelectric conductivity explicitly scales as ${\alpha }_{xy}\sim N^{3/2}$, as expected. For the same model, our approach yields a finite result for the heat conductivity $\kappa /T\propto N^{3/2}$ even for $T\to 0$.

29 pages

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Cited by in corpus (8)

• Heat Engines for Dilatonic Born-Infeld Black Holes
• Strongly coupled electron fluids in the Poiseuille regime
• Axionic charged black branes with arbitrary scalar nonminimal coupling
• Near-Extremal Fluid Mechanics
• S-duality, entropy function and transport in $Ad{S}_4/CM{T}_3$
• Wiedemann-Franz laws and $Sl(2,\mathbb{Z})$ duality in AdS/CMT holographic duals and one-dimensional effective actions for them
• Duality and modular symmetry in the quantum Hall effect from Lifshitz holography
• A renormalisation group equation for transport co-efficients in (2+1)-dimensions derived from the AdS/CMT correspondence