Quantum phase diagram of the integrable px+ipy fermionic superfluid
19 págs.; 12 figs.; 5 apéndices; PACS number s : 74.20.Fg, 74.20.Rp, 71.10.Hf, 73.43.Nq We determine the zero-temperature quantum phase diagram of a px+ipy pairing model based on the exactly solvable hyperbolic Richardson-Gaudin model. We present analytical and large-scale numerical results for this...
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ftcsic:oai:digital.csic.es:10261/74182 2024-02-11T10:05:20+01:00 Quantum phase diagram of the integrable px+ipy fermionic superfluid Rombouts, Stefan M.A. Dukelsky, Jorge Ortiz, Gerardo European Commission Ministerio de Ciencia e Innovación (España) 2010-12-13 http://hdl.handle.net/10261/74182 https://doi.org/10.1103/PhysRevB.82.224510 https://doi.org/10.13039/501100000780 https://doi.org/10.13039/501100004837 en eng https://doi.org/10.1103/PhysRevB.82.224510 Physical Review B 82: 224510 (2010) 1098-0121 http://hdl.handle.net/10261/74182 doi:10.1103/PhysRevB.82.224510 http://dx.doi.org/10.13039/501100000780 http://dx.doi.org/10.13039/501100004837 open artículo http://purl.org/coar/resource_type/c_6501 2010 ftcsic https://doi.org/10.1103/PhysRevB.82.22451010.13039/50110000078010.13039/501100004837 2024-01-16T09:48:31Z 19 págs.; 12 figs.; 5 apéndices; PACS number s : 74.20.Fg, 74.20.Rp, 71.10.Hf, 73.43.Nq We determine the zero-temperature quantum phase diagram of a px+ipy pairing model based on the exactly solvable hyperbolic Richardson-Gaudin model. We present analytical and large-scale numerical results for this model. In the continuum limit, the exact solution exhibits a third-order quantum phase transition, separating a strong-pairing from a weak-pairing phase. The mean-field solution allows to connect these results to other models with px+ipy pairing order. We define an experimentally accessible characteristic length scale, associated with the size of the Cooper pairs, that diverges at the transition point, indicating that the phase transition is of a confinement-deconfinement type without local order parameter. We propose an experimental measurement to detect the transition. We show that this phase transition is not limited to the px+ipy pairing model but can be found in any representation of the hyperbolic Richardson-Gaudin model and is related to a symmetry that is absent in the rational Richardson-Gaudin model. Supported by the Lundbeck Foundation, and the Marie Curie Actions of the European Community Project No. 220335 and by the Spanish Ministry for Science and Innovation FIS2009-07277 . Peer reviewed Article in Journal/Newspaper IPY Digital.CSIC (Spanish National Research Council) Physical Review B 82 22 |
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Digital.CSIC (Spanish National Research Council) |
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ftcsic |
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English |
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19 págs.; 12 figs.; 5 apéndices; PACS number s : 74.20.Fg, 74.20.Rp, 71.10.Hf, 73.43.Nq We determine the zero-temperature quantum phase diagram of a px+ipy pairing model based on the exactly solvable hyperbolic Richardson-Gaudin model. We present analytical and large-scale numerical results for this model. In the continuum limit, the exact solution exhibits a third-order quantum phase transition, separating a strong-pairing from a weak-pairing phase. The mean-field solution allows to connect these results to other models with px+ipy pairing order. We define an experimentally accessible characteristic length scale, associated with the size of the Cooper pairs, that diverges at the transition point, indicating that the phase transition is of a confinement-deconfinement type without local order parameter. We propose an experimental measurement to detect the transition. We show that this phase transition is not limited to the px+ipy pairing model but can be found in any representation of the hyperbolic Richardson-Gaudin model and is related to a symmetry that is absent in the rational Richardson-Gaudin model. Supported by the Lundbeck Foundation, and the Marie Curie Actions of the European Community Project No. 220335 and by the Spanish Ministry for Science and Innovation FIS2009-07277 . Peer reviewed |
author2 |
European Commission Ministerio de Ciencia e Innovación (España) |
format |
Article in Journal/Newspaper |
author |
Rombouts, Stefan M.A. Dukelsky, Jorge Ortiz, Gerardo |
spellingShingle |
Rombouts, Stefan M.A. Dukelsky, Jorge Ortiz, Gerardo Quantum phase diagram of the integrable px+ipy fermionic superfluid |
author_facet |
Rombouts, Stefan M.A. Dukelsky, Jorge Ortiz, Gerardo |
author_sort |
Rombouts, Stefan M.A. |
title |
Quantum phase diagram of the integrable px+ipy fermionic superfluid |
title_short |
Quantum phase diagram of the integrable px+ipy fermionic superfluid |
title_full |
Quantum phase diagram of the integrable px+ipy fermionic superfluid |
title_fullStr |
Quantum phase diagram of the integrable px+ipy fermionic superfluid |
title_full_unstemmed |
Quantum phase diagram of the integrable px+ipy fermionic superfluid |
title_sort |
quantum phase diagram of the integrable px+ipy fermionic superfluid |
publishDate |
2010 |
url |
http://hdl.handle.net/10261/74182 https://doi.org/10.1103/PhysRevB.82.224510 https://doi.org/10.13039/501100000780 https://doi.org/10.13039/501100004837 |
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IPY |
genre_facet |
IPY |
op_relation |
https://doi.org/10.1103/PhysRevB.82.224510 Physical Review B 82: 224510 (2010) 1098-0121 http://hdl.handle.net/10261/74182 doi:10.1103/PhysRevB.82.224510 http://dx.doi.org/10.13039/501100000780 http://dx.doi.org/10.13039/501100004837 |
op_rights |
open |
op_doi |
https://doi.org/10.1103/PhysRevB.82.22451010.13039/50110000078010.13039/501100004837 |
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Physical Review B |
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82 |
container_issue |
22 |
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1790602311412744192 |