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Condensed phase of converting boson-fermion mixtures

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. The...

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Main Author: A.S. Alexandrov
Format: Default Preprint
Published: 2004
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Online Access:https://hdl.handle.net/2134/1169
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author A.S. Alexandrov
author_facet A.S. Alexandrov
author_sort A.S. Alexandrov (7170284)
collection Figshare
description 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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institution Loughborough University
publishDate 2004
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spelling rr-article-94112632004-01-01T00:00:00Z Condensed phase of converting boson-fermion mixtures A.S. Alexandrov (7170284) Other physical sciences not elsewhere classified untagged Physical Sciences not elsewhere classified 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. 2004-01-01T00:00:00Z Text Preprint 2134/1169 https://figshare.com/articles/preprint/Condensed_phase_of_converting_boson-fermion_mixtures/9411263 CC BY-NC-ND 4.0
spellingShingle Other physical sciences not elsewhere classified
untagged
Physical Sciences not elsewhere classified
A.S. Alexandrov
Condensed phase of converting boson-fermion mixtures
title Condensed phase of converting boson-fermion mixtures
title_full Condensed phase of converting boson-fermion mixtures
title_fullStr Condensed phase of converting boson-fermion mixtures
title_full_unstemmed Condensed phase of converting boson-fermion mixtures
title_short Condensed phase of converting boson-fermion mixtures
title_sort condensed phase of converting boson-fermion mixtures
topic Other physical sciences not elsewhere classified
untagged
Physical Sciences not elsewhere classified
url https://hdl.handle.net/2134/1169