Mean-field theories of cuprate superconductors: A systematic analysis

M. Grilli, B. G. Kotliar, A. J. Millis

Research output: Contribution to journalArticlepeer-review

62 Scopus citations


The lattice Anderson model believed to be relevant to high-temperature superconductors and heavy-fermion metals exhibits a variety of different behaviors, including mixed-valence, heavy-fermion, and Mott-insulating states. We determine, via an auxiliary-boson mean-field theory, the parameter regimes in which these behaviors exist. For the two-dimensional CuO2 Anderson model we calculate the susceptibility, and quasiparticle plasma frequency. By comparing these to specific-heat, susceptibility and optical data for high-Tc superconductors, we determine that the materials are in a regime controlled by proximity to a Mott transition and that magnetic correlations play an essential role.

Original languageEnglish (US)
Pages (from-to)329-341
Number of pages13
JournalPhysical Review B
Issue number1
StatePublished - 1990

ASJC Scopus subject areas

  • Condensed Matter Physics


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