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 $T \rightarrow 0$.Comment: 29 page

S-duality, entropy function and transport in AdS4/CMT3

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“…One is led to consider a system of gravity plus Abelian vector field, plus a scalar that defines the kinetic functions appearing in the Lagrangian. Transport in such systems has been considered in many papers, but here we will be mostly interested in the methods used in [1][2][3][4][5][6][7]. The question we want to ask is, what is the effect of S-duality on this bulk holographic theory on the transport coefficients for the holographic dual field theory?…”

Emergent holographic description for the Kondo effect: Comparison with Bethe ansatz

“…This remarkable conjecture appealed to both highenergy and condensed matter physics communities [14]. Superconductivity in strongly correlated electrons [15], the Kondo effect [16][17][18][19], non-Fermi liquids [20], fractional quantum Hall phases [21], and metal-insulator transitions [22] have been discussed within the holographic duality conjecture. Even experimental data have been compared with theoretical results of this nonperturbative framework [23].…”

Heat engines for dilatonic Born–Infeld black holes

“…Having scalar fields in the bulk (such as the charged Dilaton system in the present manuscript and other examples [33,97]) might turn on certain operators in the boundary theory triggering a non-trivial RG flow. In particular, there might be solutions of dilatonic theories with Liouville type poten-tials connecting the IR dynamics to AdS asymptotics in UV [99].…”