Quantum Hall Edges with Hard Confinement: Exact Solution beyond Luttinger Liquid
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 Luttin...
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| Format: | Journal article |
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American Physical Society
2017
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| Summary: | 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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