Composite fermion duality for half-filled multicomponent Landau levels
We study the interplay of particle-hole symmetry and fermion-vortex duality in multicomponent half-filled Landau levels, such as quantum Hall gallium arsenide bilayers and graphene. For the ν=1/2+1/2 bilayer, we show that particle-hole-symmetric interlayer Cooper pairing of composite fermions leads...
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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/1721.1/107463 https://orcid.org/0000-0002-1824-5167 https://orcid.org/0000-0003-4203-4148 |
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| author | Wang, Chong Sodemann Villadiego, Inti A. Kimchi, Itamar Todadri, Senthil |
| author2 | Massachusetts Institute of Technology. Department of Physics |
| author_facet | Massachusetts Institute of Technology. Department of Physics Wang, Chong Sodemann Villadiego, Inti A. Kimchi, Itamar Todadri, Senthil |
| author_sort | Wang, Chong |
| collection | MIT |
| description | We study the interplay of particle-hole symmetry and fermion-vortex duality in multicomponent half-filled Landau levels, such as quantum Hall gallium arsenide bilayers and graphene. For the ν=1/2+1/2 bilayer, we show that particle-hole-symmetric interlayer Cooper pairing of composite fermions leads to precisely the same phase as the electron exciton condensate realized in experiments. This equivalence is easily understood by applying the recent Dirac fermion formulation of ν=1/2 to two components. It can also be described by Halperin-Lee-Read composite fermions undergoing interlayer p[subscript x]+ip[subscript y] pairing. A renormalization group analysis showing strong instability to interlayer pairing at large separation d→∞ demonstrates that two initially decoupled composite Fermi liquids can be smoothly tuned into the conventional bilayer exciton condensate without encountering a phase transition. We also discuss multicomponent systems relevant to graphene, derive related phases including a Z[subscript 2] gauge theory with spin-half visons, and argue for symmetry-enforced gaplessness under full SU(N[subscript f]) flavor symmetry when the number of components N[subscript f] is even. |
| first_indexed | 2024-09-23T13:24:43Z |
| format | Article |
| id | mit-1721.1/107463 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T13:24:43Z |
| publishDate | 2017 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | mit-1721.1/1074632022-10-01T15:07:19Z Composite fermion duality for half-filled multicomponent Landau levels Wang, Chong Sodemann Villadiego, Inti A. Kimchi, Itamar Todadri, Senthil Massachusetts Institute of Technology. Department of Physics Sodemann Villadiego, Inti A. Kimchi, Itamar Todadri, Senthil We study the interplay of particle-hole symmetry and fermion-vortex duality in multicomponent half-filled Landau levels, such as quantum Hall gallium arsenide bilayers and graphene. For the ν=1/2+1/2 bilayer, we show that particle-hole-symmetric interlayer Cooper pairing of composite fermions leads to precisely the same phase as the electron exciton condensate realized in experiments. This equivalence is easily understood by applying the recent Dirac fermion formulation of ν=1/2 to two components. It can also be described by Halperin-Lee-Read composite fermions undergoing interlayer p[subscript x]+ip[subscript y] pairing. A renormalization group analysis showing strong instability to interlayer pairing at large separation d→∞ demonstrates that two initially decoupled composite Fermi liquids can be smoothly tuned into the conventional bilayer exciton condensate without encountering a phase transition. We also discuss multicomponent systems relevant to graphene, derive related phases including a Z[subscript 2] gauge theory with spin-half visons, and argue for symmetry-enforced gaplessness under full SU(N[subscript f]) flavor symmetry when the number of components N[subscript f] is even. MIT Department of Physics Pappalardo Program United States. Dept. of Energy (Grant DE-SC0008739) Simons Foundation (Simons Investigator Award) 2017-03-17T15:17:24Z 2017-03-17T15:17:24Z 2017-02 2016-12 2017-02-23T23:00:03Z Article http://purl.org/eprint/type/JournalArticle 2469-9950 2469-9969 http://hdl.handle.net/1721.1/107463 Sodemann, Inti et al. “Composite Fermion Duality for Half-Filled Multicomponent Landau Levels.” Physical Review B 95.8 (2017): n. pag. © 2017 American Physical Society https://orcid.org/0000-0002-1824-5167 https://orcid.org/0000-0003-4203-4148 en http://dx.doi.org/10.1103/PhysRevB.95.085135 Physical Review B 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 | Wang, Chong Sodemann Villadiego, Inti A. Kimchi, Itamar Todadri, Senthil Composite fermion duality for half-filled multicomponent Landau levels |
| title | Composite fermion duality for half-filled multicomponent Landau levels |
| title_full | Composite fermion duality for half-filled multicomponent Landau levels |
| title_fullStr | Composite fermion duality for half-filled multicomponent Landau levels |
| title_full_unstemmed | Composite fermion duality for half-filled multicomponent Landau levels |
| title_short | Composite fermion duality for half-filled multicomponent Landau levels |
| title_sort | composite fermion duality for half filled multicomponent landau levels |
| url | http://hdl.handle.net/1721.1/107463 https://orcid.org/0000-0002-1824-5167 https://orcid.org/0000-0003-4203-4148 |
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