Fractal Hofstadter bands have become widely accessible with the advent of moiré
superlattices, opening the door to studies of the effect of interactions in these systems. In this …

Motivated by experimental studies of graphene in the quantum Hall regime, we revisit the
phase diagram of a single sheet of graphene at charge neutrality. Because of spin and …

We report the results of a Hartree-Fock study applied to interacting electrons moving in two
different bipartite lattices: the dice and the Lieb lattices, at half-filling. Both lattices develop …

Motivated by recently reported magnetic-field-induced topological phases in ultracold atoms
and correlated Moiré materials, we investigate topological phase transitions in a minimal …

We present transport measurements of bilayer graphene with a 1.38∘ interlayer twist. As
with other devices with twist angles substantially larger than the magic angle of 1.1∘, we do …

Motivated by recent experimental work on moiré systems in a strong magnetic field, we
compute the compressibility as well as the spin correlations and Hofstadter spectrum of …

The electronic properties of solids are determined by the crystal structure and interactions
between electrons, giving rise to a variety of collective phenomena including …

The availability of large magnetic fields at international facilities and of simulated magnetic
fields that can reach the flux-quantum-per-unit-area level in cold atoms calls for systematic …

We investigate effects of the filled Dirac sea on the SU (4) symmetry breaking for the integer
quantum Hall states of graphene with long-ranged electrostatic Coulomb interactions. Our …

We study the band structure of electrons hopping on a honeycomb lattice with p/q (p, q are
coprime integers) flux quanta through each elementary hexagon. In the nearest-neighbor …