Structure of edge-state inner products in the fractional quantum Hall effect
We analyze the inner products of edge state wave functions in the fractional quantum Hall effect, specifically for the Laughlin and Moore-Read states. We use an effective description for these inner products given by a large-N expansion ansatz proposed in a recent work by J. Dubail, N. Read, and E....
| المؤلفون الرئيسيون: | , , |
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| التنسيق: | Journal article |
| منشور في: |
American Physical Society
2018
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| _version_ | 1826292945641275392 |
|---|---|
| author | Fern, R Bondesan, R Simon, S |
| author_facet | Fern, R Bondesan, R Simon, S |
| author_sort | Fern, R |
| collection | OXFORD |
| description | We analyze the inner products of edge state wave functions in the fractional quantum Hall effect, specifically for the Laughlin and Moore-Read states. We use an effective description for these inner products given by a large-N expansion ansatz proposed in a recent work by J. Dubail, N. Read, and E. Rezayi [Phys. Rev. B 86, 245310 (2012)]. As noted by these authors, the terms in this ansatz can be constrained using symmetry, a procedure we perform to high orders. We then check this conjecture by calculating the overlaps exactly for small system sizes and compare the numerics with our high-order expansion. We find the effective description to be very accurate. |
| first_indexed | 2024-03-07T03:22:31Z |
| format | Journal article |
| id | oxford-uuid:b7e6a19d-8ea5-4b0a-8a77-aec346bbd554 |
| institution | University of Oxford |
| last_indexed | 2024-03-07T03:22:31Z |
| publishDate | 2018 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | oxford-uuid:b7e6a19d-8ea5-4b0a-8a77-aec346bbd5542022-03-27T04:52:06ZStructure of edge-state inner products in the fractional quantum Hall effectJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:b7e6a19d-8ea5-4b0a-8a77-aec346bbd554Symplectic Elements at OxfordAmerican Physical Society2018Fern, RBondesan, RSimon, SWe analyze the inner products of edge state wave functions in the fractional quantum Hall effect, specifically for the Laughlin and Moore-Read states. We use an effective description for these inner products given by a large-N expansion ansatz proposed in a recent work by J. Dubail, N. Read, and E. Rezayi [Phys. Rev. B 86, 245310 (2012)]. As noted by these authors, the terms in this ansatz can be constrained using symmetry, a procedure we perform to high orders. We then check this conjecture by calculating the overlaps exactly for small system sizes and compare the numerics with our high-order expansion. We find the effective description to be very accurate. |
| spellingShingle | Fern, R Bondesan, R Simon, S Structure of edge-state inner products in the fractional quantum Hall effect |
| title | Structure of edge-state inner products in the fractional quantum Hall effect |
| title_full | Structure of edge-state inner products in the fractional quantum Hall effect |
| title_fullStr | Structure of edge-state inner products in the fractional quantum Hall effect |
| title_full_unstemmed | Structure of edge-state inner products in the fractional quantum Hall effect |
| title_short | Structure of edge-state inner products in the fractional quantum Hall effect |
| title_sort | structure of edge state inner products in the fractional quantum hall effect |
| work_keys_str_mv | AT fernr structureofedgestateinnerproductsinthefractionalquantumhalleffect AT bondesanr structureofedgestateinnerproductsinthefractionalquantumhalleffect AT simons structureofedgestateinnerproductsinthefractionalquantumhalleffect |