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

References in corpus (14)

• Effective Holographic Theories for low-temperature condensed matter systems
• Near-horizon symmetries of extremal black holes
• Hall conductivity from dyonic black holes
• Holography of Dyonic Dilaton Black Branes
• Thermoelectric DC conductivities from black hole horizons
• Higher Derivative Corrections to Non-supersymmetric Extremal Black Holes in N=2 Supergravity
• BTZ Black Hole with Chern-Simons and Higher Derivative Terms
• Non-Supersymmetric Attractors and Entropy Function
• Holography of charged dilatonic black branes at finite temperature
• Non-Supersymmetric Attractors in $R^2$ Gravities
• Entangled Dilaton Dyons
• Holographic Hall conductivities from dyonic backgrounds
• S-Wave Superconductivity in Anisotropic Holographic Insulators
• Homes' law in Holographic Superconductor with Q-lattices