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 …

We perform an extensive exact diagonalization study of interaction-driven insulators in spin-
and valley-polarized moiré flat bands of twisted bilayer graphene aligned with its hexagonal …

Today, more than 20 years after the discovery of the quantum Hall effect, the number of
publications in this field, at more than one paper per day, is still increasing. This remarkable …

We investigate the ground states of weakly interacting bosons in a rotating trap as a function
of the number of bosons, N, and the average number of vortices, N V. We identify the filling …

We consider the two lowest Landau levels at half filling. In the higher Landau level (ν= 5/2),
we find a first-order phase transition separating a compressible striped phase from a paired …

The fractional quantum Hall (FQH) effect emerges in high-quality two-dimensional electron
systems exposed to a magnetic field when the Landau-level filling factor, ν e, takes on a …

Providing an up-to-date and lucid presentation of phenomena across modern advanced-
level solid state physics, this new edition builds on an elementary understanding to …

We analyze a recently proposed method to create fractional quantum Hall (FQH) states of
atoms confined in optical lattices [A. Sørensen, Phys. Rev. Lett. 94, 086803 (2005)] …

Electrons in a single sheet of graphene behave quite differently from those in traditional two-
dimensional electron systems. Like massless relativistic particles, they have linear …

It was recently pointed out that topological liquid phases arising in the fractional quantum
Hall effect (FQHE) are not required to be rotationally invariant, as most variational wave …