Spin fluctuations and high-temperature superconductivity in cuprates

Abstract

To describe the cuprate superconductors, models of strongly correlated electronic systems, such as the Hubbard or t-J models, are commonly employed. To study these models, projected (Hubbard) operators have to be used. Due to the unconventional commutation relations for the Hubbard operators, a specific kinematical interaction of electrons with spin and charge fluctuations emerges. The interaction is induced by the intraband hopping with a coupling parameter of the order of the kinetic energy of electrons W which is much larger than the antiferromagnetic exchange interaction J induced by the interband hopping. This review presents a consistent microscopic theory of spin excitations and superconductivity for cuprates where these interactions are taken into account within the Hubbard operator technique. The low-energy spin excitations are considered for the t-J model, while the electronic properties are studied using the two-subband extended Hubbard model where the intersite Coulomb repulsion V and electron-phonon interaction are taken into account.

arXiv comment26 pages, 33 figures, 130 references. arXiv admin note: text overlap with arXiv:1301.4347, arXiv:1402.4934

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• Realistic estimates of superconducting properties for the cuprates: reciprocal-space diagrammatic expansion combined with variational approach
• Coulomb repulsion of holes and competition between d_{x^2-y^2}-wave and s-wave parings in cuprate superconductors
• Propagating charge carrier plasmon in Sr2RuO4
• Electronic spectrum and superconductivity in the extended t-J-V model
• Microscopic theory of high-temperature superconductivity in strongly correlated electronic systems
• On non-canonical degrees of freedom