Floquet spin and spin-orbital Hamiltonians and doublon-holon generations in periodically driven Mott insulators

Abstract

We consider Mott insulators driven by periodic coherent laser radiation, using both single orbital and multi-orbital models, noting that the latter is of more interest in solid state systems. We derive general expressions for the resulting periodically driven spin models and spin-orbital models using time-dependent perturbation theory. First, we show that the effective exchange interactions of the Floquet Hamiltonians are highly tunable by the frequency, amplitude, and polarization of the laser. Second, we take the effect of finite bandwidth of excitations into account and study possible heating effects. Using the same formalism with a slight modification we also consider the small frequency regime and study the dielectric breakdown of Mott insulators.

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• Tailoring Metal Insulator Transitions $\&$ Band Topology via Off-resonant Periodic Drive in an Interacting Triangular Lattice
• Polarization-dependent magnetic properties of periodically driven $\alpha$-RuCl${}_3$
• Characterization of photoexcited states in the half-filled one-dimensional extended Hubbard model assisted by machine learning
• Scalar spin chirality induced by a circularly polarized electric field in a classical kagome magnet
• Low-frequency and Moiré Floquet engineering: a review