Unfrustrating the t-J Model: Exact d-wave BCS Superconductivity in the t'-J_z-V Model
The t-J model is believed to be a minimal model that may be capable of describing the low-energy physics of the cuprate superconductors. However, although the t-J model is simple in appearance, obtaining a detailed understanding of its phase diagram has proved to be challenging. We are therefore mot...
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| Materyal Türü: | Makale |
| Dil: | English |
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SciPost
2019-10-01
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| Seri Bilgileri: | SciPost Physics |
| Online Erişim: | https://scipost.org/SciPostPhys.7.4.046 |
| _version_ | 1828962874992623616 |
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| author | Kevin Slagle |
| author_facet | Kevin Slagle |
| author_sort | Kevin Slagle |
| collection | DOAJ |
| description | The t-J model is believed to be a minimal model that may be capable of describing the low-energy physics of the cuprate superconductors. However, although the t-J model is simple in appearance, obtaining a detailed understanding of its phase diagram has proved to be challenging. We are therefore motivated to study modifications to the t-J model such that its phase diagram and mechanism for d-wave superconductivity can be understood analytically without making uncontrolled approximations. The modified model we consider is a t'-J_z-V model on a square lattice, which has a second-nearest-neighbor hopping t' (instead of a nearest-neighbor hopping t), an Ising (instead of Heisenberg) antiferromagnetic coupling J_z, and a nearest-neighbor repulsion V. In a certain strongly interacting limit, the ground state is an antiferromagnetic superconductor that can be described exactly by a Hamiltonian where the only interaction is a nearest-neighbor attraction. BCS theory can then be applied with arbitrary analytical control, from which nodeless d-wave or s-wave superconductivity can result. |
| first_indexed | 2024-12-14T10:14:12Z |
| format | Article |
| id | doaj.art-cc7b95c4522640a3afd11ba8b51cba3b |
| institution | Directory Open Access Journal |
| issn | 2542-4653 |
| language | English |
| last_indexed | 2024-12-14T10:14:12Z |
| publishDate | 2019-10-01 |
| publisher | SciPost |
| record_format | Article |
| series | SciPost Physics |
| spelling | doaj.art-cc7b95c4522640a3afd11ba8b51cba3b2022-12-21T23:06:56ZengSciPostSciPost Physics2542-46532019-10-017404610.21468/SciPostPhys.7.4.046Unfrustrating the t-J Model: Exact d-wave BCS Superconductivity in the t'-J_z-V ModelKevin SlagleThe t-J model is believed to be a minimal model that may be capable of describing the low-energy physics of the cuprate superconductors. However, although the t-J model is simple in appearance, obtaining a detailed understanding of its phase diagram has proved to be challenging. We are therefore motivated to study modifications to the t-J model such that its phase diagram and mechanism for d-wave superconductivity can be understood analytically without making uncontrolled approximations. The modified model we consider is a t'-J_z-V model on a square lattice, which has a second-nearest-neighbor hopping t' (instead of a nearest-neighbor hopping t), an Ising (instead of Heisenberg) antiferromagnetic coupling J_z, and a nearest-neighbor repulsion V. In a certain strongly interacting limit, the ground state is an antiferromagnetic superconductor that can be described exactly by a Hamiltonian where the only interaction is a nearest-neighbor attraction. BCS theory can then be applied with arbitrary analytical control, from which nodeless d-wave or s-wave superconductivity can result.https://scipost.org/SciPostPhys.7.4.046 |
| spellingShingle | Kevin Slagle Unfrustrating the t-J Model: Exact d-wave BCS Superconductivity in the t'-J_z-V Model SciPost Physics |
| title | Unfrustrating the t-J Model: Exact d-wave BCS Superconductivity in the t'-J_z-V Model |
| title_full | Unfrustrating the t-J Model: Exact d-wave BCS Superconductivity in the t'-J_z-V Model |
| title_fullStr | Unfrustrating the t-J Model: Exact d-wave BCS Superconductivity in the t'-J_z-V Model |
| title_full_unstemmed | Unfrustrating the t-J Model: Exact d-wave BCS Superconductivity in the t'-J_z-V Model |
| title_short | Unfrustrating the t-J Model: Exact d-wave BCS Superconductivity in the t'-J_z-V Model |
| title_sort | unfrustrating the t j model exact d wave bcs superconductivity in the t j z v model |
| url | https://scipost.org/SciPostPhys.7.4.046 |
| work_keys_str_mv | AT kevinslagle unfrustratingthetjmodelexactdwavebcssuperconductivityinthetjzvmodel |