Fifty years of Hubbard and Anderson lattice models: from magnetism to unconventional superconductivity - A brief overview

Abstract

We briefly overview the importance of Hubbard and Anderson-lattice models as applied to explanation of high-temperature and heavy-fermion superconductivity. Application of the models during the last two decades provided an explanation of the paired states in correlated fermion systems and thus extended essentially their earlier usage to the description of itinerant magnetism, fluctuating valence, and the metal-insulator transition. In second part, we also present some of the new results concerning the unconventional superconductivity and obtained very recently in our group. A comparison with experiment is also discussed, but the main emphasis is put on rationalization of the superconducting properties of those materials within the real-space pairing mechanism based on either kinetic exchange and/or Kondo-type interaction combined with the electron correlation effects.

arXiv comment22 pages, 7 figures, sent to Philosophical Magazine

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Cited by in corpus (3)

• Universal properties of high temperature superconductors from real space pairing: t-J-U model and its quantitative comparison with experiment
• Gutzwiller Wave-Function Solution for Anderson Lattice Model: Emerging Universal Regimes of Heavy Quasiparticle States
• Local properties of the t-J model in a two-pole approximation within COM