In this article, we compute and compare the statistics of the number of eigenvalues in a
centred disc of radius R in all three Ginibre ensembles. We determine the mean and …

We consider N classical particles interacting via the Coulomb potential in spatial dimension
d and in the presence of an external trap, at equilibrium at inverse temperature β. In the …

Quantum Hall systems are platforms of choice to study topological properties of condensed
matter systems and anyonic exchange statistics. In this work we have developed a tunable …

The exploration of atomic fractional quantum Hall (FQH) states is now within reach in
opticallattice experiments. While bulk signatures have been observed in a system realizing …

We consider the classical trapped Riesz gas, ie, $ N $ particles at positions $ x_i $ in one
dimension with a repulsive power law interacting potential $\propto 1/| x_i-x_j|^{k} $, with …

It is well known that noncommutative geometry naturally emerges in the quantum Hall states
due to the presence of strong and constant magnetic fields. Here, we discuss the underlying …

We demonstrate that the plasma analogy is generally unreliable at predicting the edge
properties of quantum Hall (QH) states, as it fails to account for the local edge velocity. This …

We consider chiral, generally nonlinear density waves in one dimension, modelling the
bosonized edge modes of a two-dimensional fermionic topological insulator. Using the …

We define a measurable spin for the edge of a lowest Landau level and incompressible
fractional quantum Hall state in the presence of an Abelian or non-Abelian bulk …

The exploration of atomic fractional quantum Hall (FQH) states is now within reach in optical-
lattice experiments. While ground-state signatures have been observed in a system realizing …