Quantum Hall Edges with Hard Confinement: Exact Solution beyond Luttinger Liquid

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.

4 pages, 2 figures

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• Time-of-Flight Measurements as a Possible Method to Observe Anyonic Statistics
• Microscopic Study of the Halperin - Laughlin Interface through Matrix Product States
• Generation and spectroscopic signatures of a fractional quantum Hall liquid of photons in an incoherently pumped optical cavity
• Hard-Wall Confinement of a Fractional Quantum Hall Liquid
• Effective Edge State Dynamics in the Fractional Quantum Hall Effect
• Chiral polaron formation on the edge of topological quantum matter
• Ring-shaped fractional quantum Hall liquids with hard-wall potentials
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• Universal Modelling of Oscillations in Fractional Quantum Hall Fluids