Thermo-electric Transport of Dyonic Gubser-Rocha Black Holes

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 exhibits T-linearity in the low-temperature regime. However, in the strong momentum relaxation and a strong magnetic field limit, the resistivitiy shows explicit deviation from the linear-in-T resistivity. The Hall angle is linear-in-T for both the low-temperature regime and the high-temperature regime for fixed momentum dissipation strength. The Nernst signal is a bell-shaped function in terms of the magnetic field even when the momentum relaxation is strong. Finally, we discuss the possibility of getting a semi-realistic strange metal description from our model.Comment: 19 pages, 7 figure