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Effective field theory for fractional quantum Hall systems near ν = 5/2

Hsin, Po-Shen and Lin, Ying-Hsuan and Paquette, Natalie M. and Wang, Juven (2020) Effective field theory for fractional quantum Hall systems near ν = 5/2. Physical Review Research, 2 (4). Art. No. 043242. ISSN 2643-1564. https://resolver.caltech.edu/CaltechAUTHORS:20200629-082219036

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Abstract

We propose an effective field theory (EFT) of fractional quantum Hall systems near the filling fraction ν = 5/2 that flows to pertinent IR candidate phases, including non-Abelian Pfaffian, anti-Pfaffian, and particle-hole Pfaffian states (Pf, APf, and PHPf). Our EFT has a (2+1)D O(2)_(2,L) Chern-Simons gauge theory coupled to four Majorana fermions by a discrete charge-conjugation gauge field, with Gross-Neveu-Yukawa-Higgs terms. Including deformations via a Higgs condensate and fermion mass terms, we can map out a phase diagram with tunable parameters, reproducing the prediction of the recently proposed percolation picture and its gapless topological quantum phase transitions. Our EFT captures known features of both gapless and gapped sectors of time-reversal-breaking domain walls between Pf and APf phases. Moreover, we find that Pf∣APf domain walls have higher tension than domain walls in the PHPf phase. Then the former, if formed, may transition to the energetically favored PHPf domain walls; this could, in turn, help further induce a bulk transition to PHPf.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1103/PhysRevResearch.2.043242DOIArticle
https://arxiv.org/abs/2005.10826arXivDiscussion Paper
ORCID:
AuthorORCID
Hsin, Po-Shen0000-0002-4764-1476
Lin, Ying-Hsuan0000-0001-8904-1287
Paquette, Natalie M.0000-0003-2078-7165
Wang, Juven0000-0001-9396-9010
Additional Information:© 2020 Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI. Received 8 June 2020; revised 16 October 2020; accepted 20 October 2020; published 16 November 2020. We thank B. Halperin for a conversation, and N. Seiberg and X.-G. Wen for comments on the manuscript. J.W. thanks B. Lian for a previous collaboration on [15] and especially acknowledges helpful comments from J. Wang, Y. You, and Y. Zheng. J.W. also thanks e-mail correspondences from D. Mross and C. Wang, and the feedback from the seminar attendees [66]. Y.L. and N.P. are each supported by a Sherman Fairchild Postdoctoral Fellowship. J.W. was supported by NSF Grant No. PHY-1606531 and Institute for Advanced Study. This work is also supported by NSF Grant No. DMS-1607871 “Analysis, Geometry and Mathematical Physics” and Center for Mathematical Sciences and Applications at Harvard University. This material is based upon work supported by the U. S. Department of Energy, Office of Science, Office of High Energy Physics, under Award No. DE-SC0011632, and by the Simons Foundation through the Simons Investigator Award.
Group:Walter Burke Institute for Theoretical Physics
Funders:
Funding AgencyGrant Number
Sherman Fairchild FoundationUNSPECIFIED
NSFPHY-1606531
Institute for Advanced StudyUNSPECIFIED
NSFDMS-1607871
Harvard UniversityUNSPECIFIED
Department of Energy (DOE)DE-SC0011632
Simons FoundationUNSPECIFIED
Issue or Number:4
Record Number:CaltechAUTHORS:20200629-082219036
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20200629-082219036
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:104112
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:29 Jun 2020 15:47
Last Modified:17 Nov 2020 18:02

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