71 citations · 752 across the 67 of their papers we have counts for
4 papers · 1 filter
The Laughlin liquid in an external potential
Nicolas Rougerie, Jakob Yngvason
We study natural perturbations of the Laughlin state arising from the effects of trapping and disorder. These are N-particle wave functions that have the form of a product of Laugh…
Universal and shape dependent features of surface superconductivity
Michele Correggi, Bharathiganesh Devanarayanan, Nicolas Rougerie
We analyze the response of a type II superconducting wire to an external magnetic field parallel to it in the framework of Ginzburg-Landau theory. We focus on the surface supercond…
Gibbs measures based on 1D (an)harmonic oscillators as mean-field limits
Mathieu Lewin, Phan Thành Nam, Nicolas Rougerie
We prove that Gibbs measures based on 1D defocusing nonlinear Schr{ö}dinger functionals with sub-harmonic trapping can be obtained as the mean-field/large temperature limit of the…
Local incompressibility estimates for the Laughlin phase
Elliott Lieb, Nicolas Rougerie, Jakob Yngvason
We prove sharp density upper bounds on optimal length-scales for the ground states of classical 2D Coulomb systems and generalizations thereof. Our method is new, based on an auxil…