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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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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. |
format | Default Preprint |
id | rr-article-9411263 |
institution | Loughborough University |
publishDate | 2004 |
record_format | Figshare |
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 |