journal article·2017-05-18Open access

Quantum Hall edges with hard confinement: Exact solution beyond Luttinger liquid

Richard Fern, Steven H. Simon

Physical Review B· Volume 95· Issue 20

Abstract

We consider a Laughlin droplet in a confining potential which is very steep but also weak compared to the ultra-short-ranged interparticle 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.
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Research context

OpenAlex topics: Quantum and electron transport phenomena · Cold Atom Physics and Bose-Einstein Condensates · Quantum, superfluid, helium dynamics

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