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Boson-fermion model beyond mean-field approximation

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preprint
posted on 04.04.2006, 10:29 by A.S. Alexandrov
A model of hybridized bosons and fermions is studied beyond the mean field approximation. The divergent boson self-energy at zero temperature makes the Cooper pairing of fermions impossible. The frequency and momentum dependence of the self- energy and the condensation temperature $T_{c}$ of initially localized bosons are calculated analytically. The value of the boson condensation temperature $T_{c}$ is below $1K$ which rules out the boson-fermion model with the initially localized bosons as a phenomenological explanation of high-temperature superconductivity. The intra-cell density-density fermion-boson interaction dominates in the fermion self-energy. The model represents a normal metal with strongly damped bosonic excitations. The latter play the role of normal impurities.

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School

  • Science

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  • Physics

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133730 bytes

Publication date

1996

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This is a pre-print. It is also available at: http://arxiv.org/abs/cond-mat/9603111.

Language

en

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