Condensed phase of converting boson-fermion mixtures

A. S. Alexandrov

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arXiv · cond-mat/0402123

Condensed phase of converting boson-fermion mixtures

A. S. Alexandrov

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Abstract

Theory of a condensed state of hybridised bosons and fermions is developed. Normal and anomalous Green's functions are obtained diagrammatically and analytically using the Hamiltonian of the boson-fermion model (BFM). A pairing of bosons analogous to the Cooper pairing of fermions is found. There are three coupled condensates in the model, described by the off-diagonal single-particle boson, pair-fermion and pair-boson fields. The Gor'kov expansion in the strength of the order parameter near the transition yields no linear homogeneous term in the Ginzburg-Landau equation, and the infinite Levanyuk-Ginzburg parameter, Gi, which indicates that previous mean-field discussions of BFM are flawed.

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A. S. Alexandrov. 2004-02-04. Condensed phase of converting boson-fermion mixtures. https://arxiv.org/abs/cond-mat/0402123

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