Topological insulators and their intriguing edge states can be understood in a single-particle
picture and can as such be exhaustively classified. Interactions significantly complicate this …

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 …

Asymmetric coupling amplitudes effectively create an imaginary gauge field, which induces
a non-Hermitian Aharonov-Bohm (AB) effect. Nonzero imaginary magnetic flux invalidates …

We study the transition of ν= 1/3 and 2/5 fractional quantum Hall states of the honeycomb
Hofstadter model as we tune to a two-orbital moiré superlattice Hamiltonian, motivated by …

We develop a first quantization description of fractional Chern insulators that is the dual of
the conventional fractional quantum Hall (FQH) problem, with the roles of position and …

Fractional Chern insulators (FCIs) have attracted intensive attention for the realization of
fractional quantum Hall states in the absence of an external magnetic field. Most FCIs have …

We develop a variant of the density matrix renormalization group (DMRG) algorithm for two-
dimensional cylinders that uses a real space representation in the direction along the axis of …

Using the infinite density matrix renormalization group method on an infinite cylinder
geometry, we characterize the 1/3 fractional Chern insulator state in the Haldane …

Topological flat bands (TFBs) have been proposed in Chern-insulator lattice models. Some
two-dimensional monolayer systems can host TFBs with the Chern number| C|= 1, and some …

The emergence of the Haldane Chern insulator state due to strong short-range repulsive
interactions in the half-filled fermionic spinless honeycomb lattice model has been proposed …