Quantum Hall Edges with Hard Confinement: Exact Solution beyond Luttinger Liquid
Strongly Correlated Electrons
2017-05-24 v1
Abstract
We consider a Laughlin droplet in a confining potential which is very steep but also weak compared to the ultra-short ranged inter-particle interactions. We find that the eigenstates have a Jack polynomial structure, and have an energy spectrum which is extremely different from the well-known Luttinger liquid edge.
Keywords
Cite
@article{arxiv.1606.07441,
title = {Quantum Hall Edges with Hard Confinement: Exact Solution beyond Luttinger Liquid},
author = {Richard Fern and Steven H. Simon},
journal= {arXiv preprint arXiv:1606.07441},
year = {2017}
}
Comments
4 pages, 2 figures