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Unconventional critical behavior of fermions hybridized with bosons

A. S. Alexandrov
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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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A. S. Alexandrov. 2004-11-01. Unconventional critical behavior of fermions hybridized with bosons. https://doi.org/10.1080/14786430412331284036

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