Symplectic-N t-J model and s[subscript ±] superconductors

The possible discovery of s[subscript ±] superconducting gaps in the moderately correlated iron-based superconductors has raised the question of how to properly treat s[subscript ±] gaps in strongly correlated superconductors. Unlike the case of the d-wave cuprates, the Coulomb repulsion does not va...

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Main Authors: Flint, Rebecca, Coleman, Piers
Other Authors: Massachusetts Institute of Technology. Department of Physics
Format: Article
Language:en_US
Published: American Physical Society 2014
Online Access:http://hdl.handle.net/1721.1/88756
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author Flint, Rebecca
Coleman, Piers
author2 Massachusetts Institute of Technology. Department of Physics
author_facet Massachusetts Institute of Technology. Department of Physics
Flint, Rebecca
Coleman, Piers
author_sort Flint, Rebecca
collection MIT
description The possible discovery of s[subscript ±] superconducting gaps in the moderately correlated iron-based superconductors has raised the question of how to properly treat s[subscript ±] gaps in strongly correlated superconductors. Unlike the case of the d-wave cuprates, the Coulomb repulsion does not vanish by symmetry, and a careful treatment is essential. Thus far, only weak-correlation approaches have included this Coulomb pseudopotential, which has motivated us to introduce a symplectic-N treatment of the t − J model that incorporates the strong Coulomb repulsion through the complete elimination of on-site pairing. Through a proper extension of time-reversal symmetry to the large-N limit, symplectic N allows, for the first time, a superconducting large-N solution of the t − J model. For d-wave superconductors, the previous uncontrolled mean-field solutions are reproduced, while for s[subscript ±] superconductors, the SU(2) constraint enforcing single occupancy acts as a pair chemical potential adjusting the location of the gap nodes. This adjustment can capture the wide variety of gaps proposed for the iron-based superconductors: line and point nodes, as well as two different, but related full gaps on different Fermi surfaces.
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spelling mit-1721.1/887562022-09-27T14:34:28Z Symplectic-N t-J model and s[subscript ±] superconductors Flint, Rebecca Coleman, Piers Massachusetts Institute of Technology. Department of Physics Flint, Rebecca The possible discovery of s[subscript ±] superconducting gaps in the moderately correlated iron-based superconductors has raised the question of how to properly treat s[subscript ±] gaps in strongly correlated superconductors. Unlike the case of the d-wave cuprates, the Coulomb repulsion does not vanish by symmetry, and a careful treatment is essential. Thus far, only weak-correlation approaches have included this Coulomb pseudopotential, which has motivated us to introduce a symplectic-N treatment of the t − J model that incorporates the strong Coulomb repulsion through the complete elimination of on-site pairing. Through a proper extension of time-reversal symmetry to the large-N limit, symplectic N allows, for the first time, a superconducting large-N solution of the t − J model. For d-wave superconductors, the previous uncontrolled mean-field solutions are reproduced, while for s[subscript ±] superconductors, the SU(2) constraint enforcing single occupancy acts as a pair chemical potential adjusting the location of the gap nodes. This adjustment can capture the wide variety of gaps proposed for the iron-based superconductors: line and point nodes, as well as two different, but related full gaps on different Fermi surfaces. United States. Dept. of Energy (Grant DE-FG02-99ER45790) 2014-08-18T15:38:56Z 2014-08-18T15:38:56Z 2012-11 2012-09 Article http://purl.org/eprint/type/JournalArticle 1098-0121 1550-235X http://hdl.handle.net/1721.1/88756 Flint, Rebecca, and Piers Coleman. “Symplectic-N t-J Model and S[subscript ±] Superconductors.” Phys. Rev. B 86, no. 18 (November 2012). © 2012 American Physical Society en_US http://dx.doi.org/10.1103/PhysRevB.86.184508 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. application/pdf American Physical Society American Physical Society
spellingShingle Flint, Rebecca
Coleman, Piers
Symplectic-N t-J model and s[subscript ±] superconductors
title Symplectic-N t-J model and s[subscript ±] superconductors
title_full Symplectic-N t-J model and s[subscript ±] superconductors
title_fullStr Symplectic-N t-J model and s[subscript ±] superconductors
title_full_unstemmed Symplectic-N t-J model and s[subscript ±] superconductors
title_short Symplectic-N t-J model and s[subscript ±] superconductors
title_sort symplectic n t j model and s subscript superconductors
url http://hdl.handle.net/1721.1/88756
work_keys_str_mv AT flintrebecca symplecticntjmodelandssubscriptsuperconductors
AT colemanpiers symplecticntjmodelandssubscriptsuperconductors