Study of some quantum systems in condensed matter theory such as strange metals and cold atomic phase need to consider strongly interacting many-body quantum physics. To study such strongly interacting systems, the usual theoretical methods are not e?cient and one should use new methods which are based on the non-perturbative approaches. Using the gauge-string correspondence is a new tool for studying the transport coe?cients in a strongly interacting systems. One of the important observables is the electrical conductivity at ?nite density and disorder. We discuss the proposed bound of the electrical conductivity in strongly coupled disordered quantum ?eld theories using holography. It is interesting that in the incoherent limit, the transport is given by the di?usion of charge and energy. In this limit, a universal bound for the di?usivities have been proposed from holography which is related to quantum chaos and butterfly velocity. We consider coupling of the Maxwell term to the bulk Weyl tensor and compute the butter?y velocity, charge and energy di?usion with broken translational symmetry.