Journal article
Structure of edge-state inner products in the fractional quantum Hall effect
- Abstract:
- 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.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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(Preview, Accepted manuscript, pdf, 543.3KB, Terms of use)
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- Publisher copy:
- 10.1103/PhysRevB.97.155108
Authors
+ Engineering and Physical Sciences Research Council
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- Grant:
- EP/I031014/1
- No.EP/N01930X/1
- Publisher:
- American Physical Society
- Journal:
- Physical Review B More from this journal
- Volume:
- 97
- Issue:
- 15
- Article number:
- 155108
- Publication date:
- 2018-04-05
- Acceptance date:
- 2018-03-28
- DOI:
- EISSN:
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2469-9969
- ISSN:
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2469-9950
- Pubs id:
-
pubs:832146
- UUID:
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uuid:b7e6a19d-8ea5-4b0a-8a77-aec346bbd554
- Local pid:
-
pubs:832146
- Source identifiers:
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832146
- Deposit date:
-
2018-04-04
Terms of use
- Copyright holder:
- American Physical Society
- Copyright date:
- 2018
- Notes:
- Copyright © 2018 American Physical Society. This is the accepted manuscript version of the article. The final version is available online from American Physical Society at: https://doi.org/10.1103/PhysRevB.97.155108
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