Spectral functions of a time-periodically driven Falicov-Kimball model: real-space Floquet DMFT study

摘要

We present a systematic study of spectral functions of a time-periodicallydriven Falicov-Kimball Hamiltonian. In the high-frequency limit, this systemcan be effectively described as a Harper-Hofstadter-Falicov-Kimball model.Using real-space Floquet dynamical mean-field theory (DMFT), we take intoaccount interaction effects and contributions from higher Floquet bands in anon-perturbative way. Our calculations show a high degree of similarity betweenthe interacting driven system and its effective static counterpart with respectto spectral properties. However, as also illustrated by our results, one shouldbear in mind that Floquet DMFT describes a non-equilibrium steady state (NESS),while an effective static Hamiltonian describes an equilibrium state. Wefurther demonstrate the possibility of using real-space Floquet DMFT to studyedge states on a cylinder geometry.