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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| _version_ | 1826290838573940736 |
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| author | Fern, R Simon, S |
| author_facet | Fern, R Simon, S |
| author_sort | Fern, R |
| collection | OXFORD |
| description | 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. |
| first_indexed | 2024-03-07T02:50:19Z |
| format | Journal article |
| id | oxford-uuid:ad78f71f-e773-4fe2-b97d-3da0d3790160 |
| institution | University of Oxford |
| last_indexed | 2024-03-07T02:50:19Z |
| publishDate | 2017 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | oxford-uuid:ad78f71f-e773-4fe2-b97d-3da0d37901602022-03-27T03:35:43ZQuantum Hall Edges with Hard Confinement: Exact Solution beyond Luttinger LiquidJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:ad78f71f-e773-4fe2-b97d-3da0d3790160Symplectic Elements at OxfordAmerican Physical Society2017Fern, RSimon, SWe 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. |
| spellingShingle | Fern, R Simon, S Quantum Hall Edges with Hard Confinement: Exact Solution beyond Luttinger Liquid |
| title | Quantum Hall Edges with Hard Confinement: Exact Solution beyond Luttinger Liquid |
| title_full | Quantum Hall Edges with Hard Confinement: Exact Solution beyond Luttinger Liquid |
| title_fullStr | Quantum Hall Edges with Hard Confinement: Exact Solution beyond Luttinger Liquid |
| title_full_unstemmed | Quantum Hall Edges with Hard Confinement: Exact Solution beyond Luttinger Liquid |
| title_short | Quantum Hall Edges with Hard Confinement: Exact Solution beyond Luttinger Liquid |
| title_sort | quantum hall edges with hard confinement exact solution beyond luttinger liquid |
| work_keys_str_mv | AT fernr quantumhalledgeswithhardconfinementexactsolutionbeyondluttingerliquid AT simons quantumhalledgeswithhardconfinementexactsolutionbeyondluttingerliquid |