Thermo-electric transport of dyonic Gubser-Rocha black holes

Abstract

Abstract We study the thermo-electric transport coefficients of an extended version of the Gubser-Rocha model. After reviewing the two relaxation time model from holography and studying the effect of the magnetic field on thermo-electric transports from hydrodynamic theory, we present a new dilatonic dyonic asymptotically AdS black hole solution. Notice that S-duality plays an important role in finding the analytic solution with the magnetic field. Using the AdS/CMT dictionary, we analyze the electric and thermo-electric transport properties of the dual field theory. The resistivity and the Hall angle are both linear in T for fixed k/μ and B/μ2 for low temperatures. For fixed k/T and μ/T, the electric transport coefficients are strange metallic. The magnetoresistance is approximately quadratic in B for various choices of parametrizations. The Nernst signal is a bell-shaped function in terms of the magnetic field even when the momentum relaxation is strong.