Time-dependent Mott transition in the periodic Anderson model with nonlocal hybridization

Abstract

The time-dependent Mott transition in a periodic Anderson model with off-site,nearest-neighbor hybridization is studied within the framework of nonequilibriumself-energy functional theory. Using the two-site dynamical-impurity approximation, wecompute the real-time dynamics of the optimal variational parameter and of differentobservables initiated by sudden quenches of the Hubbard-U and identify the criticalinteraction. The time-dependent transition is orbital selective, i.e., in the final state,reached in the long-time limit after the quench to the critical interaction, the Mott gapopens in the spectral function of the localized orbitals only. We discuss the dependenceof the critical interaction and of the final-state effective temperature on thehybridization strength and point out the various similarities between the nonequilibriumand the equilibrium Mott transition. It is shown that these can also be smoothly connectedto each other by increasing the duration of a U-ramp from a sudden quench to a quasi-staticprocess. The physics found for the model with off-site hybridization is compared with thedynamical Mott transition in the single-orbital Hubbard model and with the dynamicalcrossover found for the real-time dynamics of the conventional Anderson lattice withon-site hybridization.