Strange metals at finite 't Hooft coupling

Abstract

In this paper, we consider the AdS-Schwarzshild black hole in light-cone coordinates which exhibits non-relativistic z=2 Schrodinger symmetry. Then, we use the $AdS/CFT$ correspondence to investigate the effect of finite-coupling corrections to two important properties of the strange metals which are the Ohmic resistivity and the inverse Hall angle. It is shown that the Ohmic resistivity and inverse Hall angle are linear and quadratic temperature dependent in the case of $\mathcal{R}^4$ corrections, respectively. While in the case of Gauss-Bonnet gravity, we find that the inverse Hall angle is quadratic temperature dependent and the Ohmic conductivity can never be linear temperature dependent.