71 citations · 752 across the 67 of their papers we have counts for
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math-ph2019★ 1 cited
On the Laughlin function and its perturbations
Nicolas Rougerie
The Laughlin state is an ansatz for the ground state of a system of 2D quantum particles submitted to a strong magnetic field and strong interactions. The two effects conspire to g…
math-ph2019★ 6 cited
Stability of the Laughlin phase against long-range interactions
Alessandro Olgiati, Nicolas Rougerie
A natural, "perturbative", problem in the modelization of the fractional quantum Hall effect is to minimize a classical energy functional within a variational set based on Laughlin…
math-ph2019★ 7 cited
Derivation of renormalized Gibbs measures from equilibrium many-body quantum Bose gases
Mathieu Lewin, Phan Thành Nam, Nicolas Rougerie
We review our recent result on the rigorous derivation of the renormalized Gibbs measure from the many-body Gibbs state in 1D and 2D. The many-body renormalization is accomplished…