Low-frequency and Moiré-Floquet engineering: a review. (English) Zbl 1486.82041

Rodriguez-Vega, Martin; Vogl, Michael; Fiete, Gregory A.

Ann. Phys. 435, Article ID 168434, 42 p. (2021).

Summary: We review recent work on low-frequency Floquet engineering and its application to quantum materials driven by light, focusing on van der Waals systems hosting Moiré superlattices. These non-equilibrium systems combine the twist-angle sensitivity of the band structure with the flexibility of light drives. The frequency, amplitude, and polarization of light can be tuned in experimental setups, leading to platforms with on-demand properties. First, we review recent theoretical developments to derive effective Floquet Hamiltonians, emphasizing the low-frequency regime. We then review applications of some of these theories to study twisted graphene and transition metal dichalcogenide systems irradiated by light in free space and inside a waveguide. We study the changes induced in the quasienergies and steady-states, which can lead to topological transitions. Next, we consider van der Waals magnetic materials driven by low-frequency light pulses in resonance with the phonons. We discuss the phonon dynamics induced by the light and the resulting magnetic transitions from a Floquet perspective. We finish by outlining new directions for Moiré-Floquet engineering in the low-frequency regime and their relevance for technological applications.

MSC:

82D03

Statistical mechanics in condensed matter (general)

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