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Unconventional critical behavior of fermions hybridized with bosons

Strongly Correlated Electrons 2015-06-24 v1 Superconductivity

Abstract

A phase transition into the condensed state of fermions hybridized with immobile bosons is examined beyond the ordinary mean-field approximation (MFA) in two and three dimensions. The hybridization interaction does not provide the Cooper pairing of fermions and the Bose-condensation in two-dimensions. In the three-dimensional (3D) boson-fermion model (BFM) an expansion in the strength of the order parameter near the transition yields no linear homogeneous term in the Ginzburg-Landau-Gor'kov equation. This indicates that previous mean-field discussions of the model are flawed in any dimensions. In particular, the conventional (MFA) upper critical field is zero in any-dimensional BFM.

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Cite

@article{arxiv.cond-mat/0411035,
  title  = {Unconventional critical behavior of fermions hybridized with bosons},
  author = {A. S. Alexandrov},
  journal= {arXiv preprint arXiv:cond-mat/0411035},
  year   = {2015}
}

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4 pages