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

## TL;DR

This paper uses real-space Floquet DMFT to analyze spectral functions of a driven Falicov-Kimball model, revealing similarities to static systems and exploring edge states in a non-equilibrium steady state.

## Contribution

It introduces a non-perturbative real-space Floquet DMFT approach to study spectral properties and edge states in a time-periodically driven interacting system.

## Key findings

- Spectral functions resemble those of effective static models.
- Floquet DMFT captures interaction effects and higher Floquet bands.
- Edge states can be studied in a non-equilibrium steady state.

## Abstract

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