The recent realization of twisted, two-dimensional, bilayers exhibiting strongly correlated
states has created a platform in which the relation between the properties of the electronic …

We review the concepts and the present state of theoretical studies of spin-imbalanced
superfluidity, in particular the elusive Fulde–Ferrell–Larkin–Ovchinnikov (FFLO) state, in the …

Topological physics relies on the structure of the eigenstates of the Hamiltonians. The
geometry of the eigenstates is encoded in the quantum geometric tensor—comprising the …

The geometry of Hamiltonian's eigenstates is encoded in the quantum geometric tensor
(QGT), containing both the Berry curvature, central to the description of topological matter …

In a flat Bloch band, the kinetic energy is quenched and single particles cannot propagate
since they are localized due to destructive interference. Whether this remains true in the …

We introduce the concept of “quantum geometric nesting”(QGN) to characterize the
idealized ordering tendencies of certain flat-band systems implicit in the geometric structure …

Flat-band superconductivity has theoretically demonstrated the importance of band topology
to correlated phases. In two dimensions, the superfluid weight, which determines the critical …

We study the semiclassical theory of wave packet dynamics in crystalline solids extended to
include the effects of a nonuniform electric field. In particular, we derive a correction to the …

The spectral properties of a non‐Hermitian quasi‐1D lattice in two of the possible
dimerization configurations are investigated. Specifically, it focuses on a non‐Hermitian …

We consider two-body bound states in a flat band of a multiband system. The existence of
pair dispersion predicts the possibility of breaking the degeneracy of the band and creating …