Quantum Hall Edges with Hard Confinement: Exact Solution beyond Luttinger Liquid
classification
❄️ cond-mat.str-el
keywords
liquidluttingerbeyondcomparedconfinementconfiningconsiderdifferent
read the original 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.
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