The fractional quantum Hall effect, being one of the most studied phenomena in condensed
matter physics during the past 30 years, has generated many ground-breaking new ideas …

The close theoretical analogy between the physics of rapidly rotating atomic Bose
condensates and the quantum Hall effect (ie a two-dimensional electron gas in a strong …

We analyze the entanglement spectrum of Laughlin states on the torus and show that it is
arranged in towers, each of which is generated by modes of two spatially separated chiral …

We consider spin-polarized electrons in a single Landau level on a torus. The quantum Hall
problem is mapped onto a one-dimensional lattice model with lattice constant 2 π/L 1, where …

We study the phase diagram of interacting electrons in a dispersionless Chern band as a
function of their filling. We find hierarchy multiplets of incompressible states at fillings ν= 1/3 …

We discuss a two-parameter renormalization group (RG) flow when parameters are
organized in a single complex variable, τ, with modular properties. Throughout the work we …

We consider the lowest Landau level on a torus as a function of its circumference L 1. When
L 1→ 0, the ground state at general rational filling fraction is a crystal with a gap—a Tao …

We study the microscopic model of electrons in the partially-filled lowest Landau level
interacting via the Coulomb potential by the diagrammatic theory within the GW …

Using methods based on conformal field theory, we construct model wave functions on a
torus with arbitrary flat metric for all chiral states in the abelian quantum Hall hierarchy …

We present microscopic, multiple Landau level,(frustration-free and positive semi-definite)
parent Hamiltonians whose ground states, realizing different quantum Hall fluids, are parton …