It is commonly believed that nonuniform Berry curvature destroys the Girvin-MacDonald-
Platzman algebra and as a consequence destabilizes fractional Chern insulators. In this …

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 …

The superfluid weight of an isolated flat band in multiorbital superconductors contains
contributions from the band's quantum metric and a lattice geometric term that depends on …

Quantum geometry characterizes the geometric properties of Bloch electrons in the wave
space, represented by the quantum metric and the Berry curvature. Recent studies have …

Recent density-functional theory (DFT) calculations on copper-doped lead apatite $\text {Pb}
_9\text {Cu}(\text {PO} _4) _6\text {O} $ indicated various interesting band structure …

Consider a set of quantum states| ψ (x)〉 parameterized by x taken from some parameter
space M. We demonstrate how all geometric properties of this manifold of states are fully …

We elaborate that s-wave and d-wave superconductors described by mean field theories
possess a nontrivial quantum geometry. From the overlap of two quasihole states at slightly …

The stability of fractional Chern insulators is widely believed to be predicted by the
resemblance of their single-particle spectra to Landau levels. We investigate the scope of …

Geometric aspects of physics play a crucial role in modern condensed matter physics. The
quantum metric is one of these geometric quantities which defines the distance on a …

Conductivity in a multiband system can be divided into intra-and interband contributions,
and the latter further into symmetric and antisymmetric parts. In a flat band, intraband …