Chiral Topological Superconductors Enhanced by Long-Range Interactions
We study the phase diagram and edge states of a two-dimensional p-wave superconductor with long-range hopping and pairing amplitudes. New topological phases and quasiparticles different from the usual short-range model are obtained. When both hopping and pairing terms decay with the same exponent, o...
| Main Authors: | , , |
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| Other Authors: | |
| Format: | Article |
| Language: | English |
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American Physical Society
2018
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| Online Access: | http://hdl.handle.net/1721.1/114394 https://orcid.org/0000-0002-8803-1017 |
| _version_ | 1826215850702536704 |
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| author | Martin-Delgado, Miguel Angel Viyuela Garcia, Oscar Fu, Liang |
| author2 | Massachusetts Institute of Technology. Department of Physics |
| author_facet | Massachusetts Institute of Technology. Department of Physics Martin-Delgado, Miguel Angel Viyuela Garcia, Oscar Fu, Liang |
| author_sort | Martin-Delgado, Miguel Angel |
| collection | MIT |
| description | We study the phase diagram and edge states of a two-dimensional p-wave superconductor with long-range hopping and pairing amplitudes. New topological phases and quasiparticles different from the usual short-range model are obtained. When both hopping and pairing terms decay with the same exponent, one of the topological chiral phases with propagating Majorana edge states gets significantly enhanced by long-range couplings. On the other hand, when the long-range pairing amplitude decays more slowly than the hopping, we discover new topological phases where propagating Majorana fermions at each edge pair nonlocally and become gapped even in the thermodynamic limit. Remarkably, these nonlocal edge states are still robust, remain separated from the bulk, and are localized at both edges at the same time. The inclusion of long-range effects is potentially applicable to recent experiments with magnetic impurities and islands in 2D superconductors. |
| first_indexed | 2024-09-23T16:38:02Z |
| format | Article |
| id | mit-1721.1/114394 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T16:38:02Z |
| publishDate | 2018 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | mit-1721.1/1143942022-09-29T20:28:08Z Chiral Topological Superconductors Enhanced by Long-Range Interactions Martin-Delgado, Miguel Angel Viyuela Garcia, Oscar Fu, Liang Massachusetts Institute of Technology. Department of Physics Viyuela Garcia, Oscar Fu, Liang We study the phase diagram and edge states of a two-dimensional p-wave superconductor with long-range hopping and pairing amplitudes. New topological phases and quasiparticles different from the usual short-range model are obtained. When both hopping and pairing terms decay with the same exponent, one of the topological chiral phases with propagating Majorana edge states gets significantly enhanced by long-range couplings. On the other hand, when the long-range pairing amplitude decays more slowly than the hopping, we discover new topological phases where propagating Majorana fermions at each edge pair nonlocally and become gapped even in the thermodynamic limit. Remarkably, these nonlocal edge states are still robust, remain separated from the bulk, and are localized at both edges at the same time. The inclusion of long-range effects is potentially applicable to recent experiments with magnetic impurities and islands in 2D superconductors. United States. Department of Energy. Office of Basic Energy Sciences (Grant DE-SC0010526) 2018-03-27T15:16:10Z 2018-03-27T15:16:10Z 2018-01 2017-10 2018-02-07T20:55:36Z Article http://purl.org/eprint/type/JournalArticle 0031-9007 1079-7114 http://hdl.handle.net/1721.1/114394 Viyuela, Oscar et al. "Chiral Topological Superconductors Enhanced by Long-Range Interactions." Physical Review Letters 120, 1 (January 2018): 017001 © 2018 American Physical Society https://orcid.org/0000-0002-8803-1017 en http://dx.doi.org/10.1103/PhysRevLett.120.017001 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 | Martin-Delgado, Miguel Angel Viyuela Garcia, Oscar Fu, Liang Chiral Topological Superconductors Enhanced by Long-Range Interactions |
| title | Chiral Topological Superconductors Enhanced by Long-Range Interactions |
| title_full | Chiral Topological Superconductors Enhanced by Long-Range Interactions |
| title_fullStr | Chiral Topological Superconductors Enhanced by Long-Range Interactions |
| title_full_unstemmed | Chiral Topological Superconductors Enhanced by Long-Range Interactions |
| title_short | Chiral Topological Superconductors Enhanced by Long-Range Interactions |
| title_sort | chiral topological superconductors enhanced by long range interactions |
| url | http://hdl.handle.net/1721.1/114394 https://orcid.org/0000-0002-8803-1017 |
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