Interlayer Pairing Symmetry of Composite Fermions in Quantum Hall Bilayers
We study the pairing symmetry of the interlayer paired state of composite fermions in quantum Hall bilayers. Based on the Halperin-Lee-Read (HLR) theory, the effect of the long-range Coulomb interaction and the internal Chern-Simons gauge fluctuation is analyzed with the random-phase approximation b...
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| Format: | Article |
| Language: | English |
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American Physical Society
2017
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| Online Access: | http://hdl.handle.net/1721.1/108810 https://orcid.org/0000-0002-8803-1017 |
| _version_ | 1811080942249312256 |
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| author | Isobe, Hiroki Fu, Liang |
| author2 | Massachusetts Institute of Technology. Department of Physics |
| author_facet | Massachusetts Institute of Technology. Department of Physics Isobe, Hiroki Fu, Liang |
| author_sort | Isobe, Hiroki |
| collection | MIT |
| description | We study the pairing symmetry of the interlayer paired state of composite fermions in quantum Hall bilayers. Based on the Halperin-Lee-Read (HLR) theory, the effect of the long-range Coulomb interaction and the internal Chern-Simons gauge fluctuation is analyzed with the random-phase approximation beyond the leading order contribution in small momentum expansion, and we observe that the interlayer paired states with a relative angular momentum l=+1 are energetically favored for filling ν=1/2+1/2 and 1/4+1/4. The degeneracy between states with ±l is lifted by the interlayer density-current interaction arising from the interplay of the long-range Coulomb interaction and the Chern-Simons term in the HLR theory. |
| first_indexed | 2024-09-23T11:39:18Z |
| format | Article |
| id | mit-1721.1/108810 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T11:39:18Z |
| publishDate | 2017 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | mit-1721.1/1088102022-09-27T21:03:06Z Interlayer Pairing Symmetry of Composite Fermions in Quantum Hall Bilayers Isobe, Hiroki Fu, Liang Massachusetts Institute of Technology. Department of Physics Isobe, Hiroki Fu, Liang We study the pairing symmetry of the interlayer paired state of composite fermions in quantum Hall bilayers. Based on the Halperin-Lee-Read (HLR) theory, the effect of the long-range Coulomb interaction and the internal Chern-Simons gauge fluctuation is analyzed with the random-phase approximation beyond the leading order contribution in small momentum expansion, and we observe that the interlayer paired states with a relative angular momentum l=+1 are energetically favored for filling ν=1/2+1/2 and 1/4+1/4. The degeneracy between states with ±l is lifted by the interlayer density-current interaction arising from the interplay of the long-range Coulomb interaction and the Chern-Simons term in the HLR theory. United States. Department of Energy (DE-SC0010526) 2017-05-11T14:52:34Z 2017-05-11T14:52:34Z 2017-04 2016-09 2017-04-17T22:00:06Z Article http://purl.org/eprint/type/JournalArticle 0031-9007 1079-7114 http://hdl.handle.net/1721.1/108810 Isobe, Hiroki and Fu, Liang. "Interlayer Pairing Symmetry of Composite Fermions in Quantum Hall Bilayers." Physical Review Letters 118, no. 166401 (April 2017). © 2017 American Physical Society https://orcid.org/0000-0002-8803-1017 en http://dx.doi.org/10.1103/PhysRevLett.118.166401 Physical Review Letters Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. American Physical Society application/pdf American Physical Society American Physical Society |
| spellingShingle | Isobe, Hiroki Fu, Liang Interlayer Pairing Symmetry of Composite Fermions in Quantum Hall Bilayers |
| title | Interlayer Pairing Symmetry of Composite Fermions in Quantum Hall Bilayers |
| title_full | Interlayer Pairing Symmetry of Composite Fermions in Quantum Hall Bilayers |
| title_fullStr | Interlayer Pairing Symmetry of Composite Fermions in Quantum Hall Bilayers |
| title_full_unstemmed | Interlayer Pairing Symmetry of Composite Fermions in Quantum Hall Bilayers |
| title_short | Interlayer Pairing Symmetry of Composite Fermions in Quantum Hall Bilayers |
| title_sort | interlayer pairing symmetry of composite fermions in quantum hall bilayers |
| url | http://hdl.handle.net/1721.1/108810 https://orcid.org/0000-0002-8803-1017 |
| work_keys_str_mv | AT isobehiroki interlayerpairingsymmetryofcompositefermionsinquantumhallbilayers AT fuliang interlayerpairingsymmetryofcompositefermionsinquantumhallbilayers |