Discoveries in quantum materials, which are characterized by the strongly quantum-
mechanical nature of electrons and atoms, have revealed exotic properties that arise from …

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 …

Criteria of measure quantifying quantum coherence, a unique property of quantum system,
are proposed recently. In this paper, we first give an uncertainty-like expression relating the …

Nonlocality is one unique property of quantum mechanics that differs from the classical
world. One of its quantifications can be properly described as the maximum global effect …

We show that, quite generically, a [111] slab of spin-orbit coupled pyrochlore lattice exhibits
surface states whose constant energy curves take the shape of Fermi arcs, localized to …

A simple relation is established for the evolution equation of quantum-information-
processing protocols such as quantum teleportation, remote state preparation, Bell …

We devise local lattice models whose ground states are model fractional Chern insulators—
Abelian and non-Abelian topologically ordered states characterized by exact ground state …

We investigate the entanglement spectrum of the ground state of the Su-Schrieffer-Heeger-
Hubbard model. The topological phases of the model can be identified by degeneracy of the …

We show that all the bands of the Hofstadter model on the torus have an exactly flat
dispersion and Berry curvature when a special system size is chosen. This result holds for …

Quantum Hall effects with multicomponent internal degrees of freedom facilitate the
playground of novel emergent topological orders. Here, we explore the correlated …