Nonequilibrium dynamics of a disordered binary alloy

We study the nonequilibrium dynamics of a binary disordered alloy subjected to an interaction quench. Our study employs a nonequilibrium embedding scheme (DMFT+CPA) that combines the capacity of Dynamical Mean-Field Theory (DMFT) to treat strongly correlated systems with that of the Coherent Potential Approximation (CPA) to treat disordered systems, effectively addressing the interplay between disorder and interaction out of equilibrium. We first apply this approach to the equilibrium binary alloy to compute the density of states, showing that disorder modifies the interaction-driven Mott gap while interactions alter the disorder-driven gap. We then examine the relaxation dynamics following a sudden change in interaction from zero to a finite value. The system exhibits a short transient before reaching a long-time state that depends nontrivially on both disorder and interaction strengths. The long-time effective temperature increases with stronger interactions but decreases with increasing disorder, revealing the complex interplay between correlation and disorder in a binary alloy far from equilibrium.