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Generalized mean fields and quasi-particle interactions in the Hubbard model

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Il Nuovo Cimento B (1971-1996)

Summary

The self-consistent theory of the correlation effects in transition metals and their compounds (TMC) and disordered binary alloys has been developed using the Hubbard model and random Hubbard model. In order to obtain the interpolation solution for the quasi-particle spectrum, which is valid for both the atomic and band limits, the novel Irreducible Green’s Function (IGF) method has been used. This method permits to calculate the quasi-particle spectra of many-particle systems with complicated spectra and strong interaction in a very natural and compact way. The essence of the method is deeply related with the notion of the Generalized Mean Fields (GMFs), which determines the elastic-scattering corrections. The inelastic-scattering corrections lead to the damping of the quasi-particles and is the main topic of the present consideration. The calculation of the damping has been done in a self-consistent way for both limits. For the random Hubbard model the weak-coupling case has been considered and the self-energy operator has been calculated using the combination of the IGF method and Coherent Potential Approximation (CPA).

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Authors and Affiliations

  1. Dipartimento di Fisica Teorica dell'Università di Salerno, I-84081, Baronissi (SA), Italia

    A. L. Kuzemsky

  2. Department of Statistical Mechanics, Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, Head Post Office Box 79, 101000, Moscow, Russia

    A. L. Kuzemsky

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Kuzemsky, A.L. Generalized mean fields and quasi-particle interactions in the Hubbard model. Nuov Cim B 109, 829–854 (1994). https://doi.org/10.1007/BF02722462

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  • DOI: https://doi.org/10.1007/BF02722462

PACS 05.30

PACS 05.30.Fk

PACS 11.15.Tk

PACS 71.10

PACS 71.20.Ad

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