Correlated electron systems periodically driven out of equilibrium: Floquet + DMFT formalism

Abstract

We propose to combine the Floquet formalism for systems in ac fields with the dynamical mean-field theory to study correlated electron systems periodically driven out of equilibrium by external fields such as intense laser light. This approach has a virtue that we can nonperturbatively include both the correlation effects and nonlinear effects due to the driving field, which is imperative in analyzing recent experiments for photoinduced phase transitions. In solving the problem, we exploit a general theorem that the Hamiltonian in a Floquet matrix form can be exactly diagonalized for single-band noninteracting systems. As a demonstration, we have applied the method to the Falicov-Kimball model in intense ac fields to calculate the spectral function. The result shows that photoinduced midgap states emerge from strong ac fields, triggering an insulator-metal transition.

arXiv comment19 pages, 12 figures; minor changes

References in corpus (10)

• Exact solution of the Falicov-Kimball model with dynamical mean-field theory
• Nonequilibrium dynamical mean-field theory
• Excitonic Dynamical Franz-Keldysh Effect
• Dynamical Franz-Keldysh effect
• Nonthermal steady states after an interaction quench in the Falicov-Kimball model
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• Nonlinear response of Bloch electrons in infinite dimensions
• Electronic properties of alkali-metal loaded zeolites -- a "supercrystal" Mott insulator
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