Stability of the Laughlin phase against long-range interactions
Mathematical Physics
2020-06-24 v2 Mesoscale and Nanoscale Physics
Strongly Correlated Electrons
Analysis of PDEs
math.MP
Abstract
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.
Cite
@article{arxiv.1906.05564,
title = {Stability of the Laughlin phase against long-range interactions},
author = {Alessandro Olgiati and Nicolas Rougerie},
journal= {arXiv preprint arXiv:1906.05564},
year = {2020}
}