# Stability of the Laughlin Phase Against Long-Range Interactions

@article{Olgiati2020StabilityOT, title={Stability of the Laughlin Phase Against Long-Range Interactions}, author={Alessandro Olgiati and Nicolas Rougerie}, journal={Archive for Rational Mechanics and Analysis}, year={2020}, volume={237}, pages={1475-1515} }

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’s wave-function. We prove that, for small enough pair interactions, and asymptotically for large particle numbers, a minimizer can always be looked for in the particular form of uncorrelated quasi-holes superimposed to Laughlin’s wave-function.

## 5 Citations

On the Laughlin function and its perturbations

- Physics
- 2018

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 generate strong and…

The classical Jellium and the Laughlin phase

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I discuss results bearing on a variational problem of a new type, inspired by fractional quantum Hall physics. In the latter context, the main result reviewed herein can be spelled as “the phase of…

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It is proved that Haldane’s pseudo-potential operators, including their pre-factors, emerge as mathematically rigorous limits of such interactions when the range of the potential tends to zero while its strength tends to infinity.

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A BSTRACT . The fractional quantum Hall eﬀect in 2D electron gases submitted to large magnetic ﬁelds remains one of the most striking phenomena in condensed matter physics. Historically, the ﬁrst…

Holomorphic quantum Hall states in higher Landau levels

- PhysicsJournal of Mathematical Physics
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Eigenstates of the planar magnetic Laplacian with homogeneous magnetic field form degenerate energy bands, the Landau levels. We discuss the unitary correspondence between states in higher Landau…

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