Exactly solvable pairing model for superconductors with p(x)+ip(y)-wave symmetry
We present the exact Bethe ansatz solution for the two-dimensional BCS pairing Hamiltonian with px+ipy symmetry. Using both mean-field theory and the exact solution we obtain the ground-state phase diagram parametrized by the filling fraction and the coupling constant. It consists of three phases th...
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ftimtluccairis:oai:iris.imtlucca.it:20.500.11771/25013 2024-05-12T08:06:12+00:00 Exactly solvable pairing model for superconductors with p(x)+ip(y)-wave symmetry Ibáñez Berganza, Miguel Links, Jon Sierra, German Zhao, Shao-You Ibáñez Berganza, Miguel Links, Jon Sierra, German Zhao, Shao-You 2009 https://hdl.handle.net/20.500.11771/25013 https://doi.org/10.1103/PhysRevB.79.180501 unknown volume:79 issue:18 journal:PHYSICAL REVIEW. B, CONDENSED MATTER AND MATERIALS PHYSICS https://hdl.handle.net/20.500.11771/25013 doi:10.1103/PhysRevB.79.180501 info:eu-repo/semantics/altIdentifier/scopus/2-s2.0-65649141315 info:eu-repo/semantics/openAccess info:eu-repo/semantics/article 2009 ftimtluccairis https://doi.org/20.500.11771/2501310.1103/PhysRevB.79.180501 2024-04-18T00:53:22Z We present the exact Bethe ansatz solution for the two-dimensional BCS pairing Hamiltonian with px+ipy symmetry. Using both mean-field theory and the exact solution we obtain the ground-state phase diagram parametrized by the filling fraction and the coupling constant. It consists of three phases that are denoted weak-coupling BCS, weak pairing, and strong pairing. The first two phases are separated by a topologically protected line where the exact ground state is given by the Moore-Read pfaffian state. In the thermodynamic limit the ground-state energy is discontinuous on this line. The other two phases are separated by the critical line, also topologically protected, previously found by Read and Green. We establish a duality relation between the weak and strong pairing phases, whereby ground states of the weak phase are “dressed” versions of the ground states of the strong phase by zero energy Moore-Read pairs and characterized by a topological order parameter. Article in Journal/Newspaper IPY Archivio della ricerca della Scuola IMT Alti Studi Lucca Physical Review B 79 18 |
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Archivio della ricerca della Scuola IMT Alti Studi Lucca |
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We present the exact Bethe ansatz solution for the two-dimensional BCS pairing Hamiltonian with px+ipy symmetry. Using both mean-field theory and the exact solution we obtain the ground-state phase diagram parametrized by the filling fraction and the coupling constant. It consists of three phases that are denoted weak-coupling BCS, weak pairing, and strong pairing. The first two phases are separated by a topologically protected line where the exact ground state is given by the Moore-Read pfaffian state. In the thermodynamic limit the ground-state energy is discontinuous on this line. The other two phases are separated by the critical line, also topologically protected, previously found by Read and Green. We establish a duality relation between the weak and strong pairing phases, whereby ground states of the weak phase are “dressed” versions of the ground states of the strong phase by zero energy Moore-Read pairs and characterized by a topological order parameter. |
author2 |
Ibáñez Berganza, Miguel Links, Jon Sierra, German Zhao, Shao-You |
format |
Article in Journal/Newspaper |
author |
Ibáñez Berganza, Miguel Links, Jon Sierra, German Zhao, Shao-You |
spellingShingle |
Ibáñez Berganza, Miguel Links, Jon Sierra, German Zhao, Shao-You Exactly solvable pairing model for superconductors with p(x)+ip(y)-wave symmetry |
author_facet |
Ibáñez Berganza, Miguel Links, Jon Sierra, German Zhao, Shao-You |
author_sort |
Ibáñez Berganza, Miguel |
title |
Exactly solvable pairing model for superconductors with p(x)+ip(y)-wave symmetry |
title_short |
Exactly solvable pairing model for superconductors with p(x)+ip(y)-wave symmetry |
title_full |
Exactly solvable pairing model for superconductors with p(x)+ip(y)-wave symmetry |
title_fullStr |
Exactly solvable pairing model for superconductors with p(x)+ip(y)-wave symmetry |
title_full_unstemmed |
Exactly solvable pairing model for superconductors with p(x)+ip(y)-wave symmetry |
title_sort |
exactly solvable pairing model for superconductors with p(x)+ip(y)-wave symmetry |
publishDate |
2009 |
url |
https://hdl.handle.net/20.500.11771/25013 https://doi.org/10.1103/PhysRevB.79.180501 |
genre |
IPY |
genre_facet |
IPY |
op_relation |
volume:79 issue:18 journal:PHYSICAL REVIEW. B, CONDENSED MATTER AND MATERIALS PHYSICS https://hdl.handle.net/20.500.11771/25013 doi:10.1103/PhysRevB.79.180501 info:eu-repo/semantics/altIdentifier/scopus/2-s2.0-65649141315 |
op_rights |
info:eu-repo/semantics/openAccess |
op_doi |
https://doi.org/20.500.11771/2501310.1103/PhysRevB.79.180501 |
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Physical Review B |
container_volume |
79 |
container_issue |
18 |
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1798848649736749056 |