Fractional Chern insulators (FCIs) are lattice generalizations of the conventional fractional
quantum Hall effect (FQHE) in two-dimensional (2D) electron gases. They typically arise in a …

Fractional Chern insulators realize the remarkable physics of the fractional quantum Hall
effect (FQHE) in crystalline systems with Chern bands. The lowest Landau level (LLL) is …

Motivated by the higher Chern bands of twisted graphene multilayers, we consider flat
bands with arbitrary Chern number C with ideal quantum geometry. While C> 1 bands differ …

We show that, quite generally, quantum geometry plays a major role in determining the low-
energy physics in strongly correlated lattice models at fractional band fillings. We identify …

In this work, we theoretically study the fractional Chern insulator (FCI) states in
rhombohedral multilayer graphene moiré superlattices. We start from the highest energy …

We study the effect of quantum geometry on the many-body ground state of one-dimensional
interacting bosonic systems. We find that the Drude weight is given by the sum of the kinetic …

We study the relation between the quantum geometry of wave functions and the Landau
level (LL) spectrum of two-band Hamiltonians with a quadratic band crossing point (QBCP) …

The quantum geometric tensor (QGT) is a fundamental concept for characterizing the local
geometry of quantum states. After casting the geometry of pure quantum states and …

The quantum geometric tensor (QGT) reveals local geometric properties and associated
topological information of quantum states. Here a generalization of the QGT to mixed …

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 …