Understanding the role of disorder in the nonequilibrium dynamics of a correlated many-particle system

We use our recently introduced nonequilibrium DMFT+CPA [1, 2] to investigate the nonequilibrium dynamics of a disordered interacting system, when it is subjected to an interaction quench. The method combines the capacity, on the one hand, of DMFT (dynamical mean field theory) to treat strongly correlated systems, and the other hand, of CPA (coherent potential approximation) to treat disordered systems, to effectively address the interplay of disorder and interaction for the nonequilibrium system. First, we benchmark the approach on the equilibrium density of states of a system described by the Anderson-Hubbard model with "box" and binary disorder. Next, we evaluate the dynamics and the thermalization of the system when the interaction strength is abruptly changed at a given time, from zero to a finite constant value. We observe that disorder affects the relaxation of the system in a nontrivial manner and we identify different thermalization regimes as a function of disorder and interaction strengths.

[1] E. Dohner, H. Terletska, K.-M. Tam, J. Moreno, H. F. Fotso, Nonequilibrium DMFT+CPA for Correlated Disordered Systems, Phys. Rev. B 106 195156 (2022), DOI link: https://doi.org/10.1103/PhysRevB.106.195156

[2] E. Dohner, H. Terletska, H. F. Fotso, Thermalization of a Disordered Interacting System under an Interaction Quench, Phys. Rev. B 108, 144202 (2023), DOI link: https://doi.org/10.1103/PhysRevB.108.144202