Calculation of the four-spin cyclic exchange in cuprates
Starting from the three-band Hubbard model for the cuprates, we calculate analytically the four-spin cyclic exchange in the limit of infinite on-site Coulomb repulsion and zero O-O hopping tpp using two methods: (i) perturbation theory in tpd/Δ, where tpd is the Cu-O hopping and Δ the Cu-O charge tr...
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| Format: | article |
| Status: | Published version |
| Publication Date: | 2018 |
| Country: | Argentina |
| Institution: | Consejo Nacional de Investigaciones Científicas y Técnicas |
| Repository: | CONICET Digital (CONICET) |
| Language: | English |
| OAI Identifier: | oai:ri.conicet.gov.ar:11336/97137 |
| Online Access: | http://hdl.handle.net/11336/97137 |
| Access Level: | Open access |
| Keyword: | superconducting cuprates cyclic exchange https://purl.org/becyt/ford/1.3 https://purl.org/becyt/ford/1 |
| Summary: | Starting from the three-band Hubbard model for the cuprates, we calculate analytically the four-spin cyclic exchange in the limit of infinite on-site Coulomb repulsion and zero O-O hopping tpp using two methods: (i) perturbation theory in tpd/Δ, where tpd is the Cu-O hopping and Δ the Cu-O charge transfer energy and (ii) exact solution of a Cu4O4 plaquette. The latter method coincides with the first to order eight in tpd and permits us to extend the results to tpd/Δ of order one. The results are relevant to recent experimental and theoretical research that relate the splitting of certain spin excitations with Δ and the superconducting critical temperature. |
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