Recent developments in fractional Chern insulators
Z Liu, EJ Bergholtz - arXiv preprint arXiv:2208.08449, 2022 - arxiv.org
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 …
quantum Hall effect (FQHE) in two-dimensional (2D) electron gases. They typically arise in a …
Vortexability: A unifying criterion for ideal fractional Chern insulators
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 …
effect (FQHE) in crystalline systems with Chern bands. The lowest Landau level (LLL) is …
Many-body ground states from decomposition of ideal higher Chern bands: Applications to chirally twisted graphene multilayers
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 …
bands with arbitrary Chern number C with ideal quantum geometry. While C> 1 bands differ …
Quantum metric induced phases in moiré materials
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 …
energy physics in strongly correlated lattice models at fractional band fillings. We identify …
Fractional Chern insulator states in multilayer graphene moiré superlattices
Z Guo, X Lu, B Xie, J Liu - Physical Review B, 2024 - APS
In this work, we theoretically study the fractional Chern insulator (FCI) states in
rhombohedral multilayer graphene moiré superlattices. We start from the highest energy …
rhombohedral multilayer graphene moiré superlattices. We start from the highest energy …
Drude weight and the many-body quantum metric in one-dimensional Bose systems
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 …
interacting bosonic systems. We find that the Drude weight is given by the sum of the kinetic …
Quantum geometry and Landau levels of quadratic band crossings
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) …
level (LL) spectrum of two-band Hamiltonians with a quadratic band crossing point (QBCP) …
Local geometry and quantum geometric tensor of mixed states
XY Hou, Z Zhou, X Wang, H Guo, CC Chien - Physical Review B, 2024 - APS
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 …
geometry of quantum states. After casting the geometry of pure quantum states and …
Sjöqvist quantum geometric tensor of finite-temperature mixed states
Z Zhou, XY Hou, X Wang, JC Tang, H Guo, CC Chien - Physical Review B, 2024 - APS
The quantum geometric tensor (QGT) reveals local geometric properties and associated
topological information of quantum states. Here a generalization of the QGT to mixed …
topological information of quantum states. Here a generalization of the QGT to mixed …
Stability of fractional Chern insulators with a non-Landau level continuum limit
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 …
resemblance of their single-particle spectra to Landau levels. We investigate the scope of …