Nonequilibrium dynamics of a disordered binary alloy

We investigate the nonequilibrium dynamics of a binary disordered alloy following an interaction quench. Using a nonequilibrium embedding framework (DMFT+CPA), we combine Dynamical Mean-Field Theory (DMFT) for strong correlations with the Coherent Potential Approximation (CPA) for disorder, enabling us to capture their interplay out of equilibrium. We first study the equilibrium alloy and compute the density of states, showing that disorder modifies the interaction-driven Mott gap while interactions alter the disorder-induced gap. We then examine the relaxation dynamics after a sudden change of the interaction from zero to a finite value. After a short transient, the system reaches 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, highlighting the competing roles of correlation and disorder in a binary alloy far from equilibrium.