We review recent developments in the research of nonlinear and nonequilibrium
phenomena in solids focusing on their geometrical aspects. We start with introducing the …

Electronic states in quantum materials can be engineered by light irradiation, which is
greatly advanced by ab-initio computational predictions in realistic light-matter coupled …

Topological states of matter exhibit many novel properties due to the presence of robust
topological invariants such as the Chern index. These global characteristics pertain to the …

We develop a theory to derive effective Floquet Hamiltonians in the weak-drive and low-
frequency regime. We construct the theory in analogy with band theory for electrons in a …

In this work we use Floquet-Bloch theory to study the influence of circularly and linearly
polarized light on two-dimensional band structures with semi-Dirac band touching points …

We derive effective Floquet Hamiltonians for twisted bilayer graphene driven by circularly
polarized light in two different regimes beyond the weak-drive, high-frequency regime. First …

We study the dynamics of the Fermi-Hubbard model driven by a time-periodic modulation of
the interaction within nonequilibrium dynamical mean-field theory. For moderate interaction …

In this paper we theoretically study, using Floquet-Bloch theory, the influence of circularly
and linearly polarized light on two-dimensional band structures with Dirac and quadratic …

We analyze the static and dynamical properties of a one-dimensional topological lattice, the
fermionic Su-Schrieffer-Heeger model, in the presence of on-site interactions. Based on a …

We investigate the effect of a high-frequency electromagnetic field with both circular and
linear polarization on the emergence of quantum phases in thin topological insulators …