Thermodynamics of the BCS-BEC crossover


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HAUSSMANN, Rudolf, Walter RANTNER, Stefano CERRITO, Willhelm ZWERGER, 2007. Thermodynamics of the BCS-BEC crossover. In: Physical Review A. 75(2). ISSN 1050-2947. eISSN 1094-1622. Available under: doi: 10.1103/PhysRevA.75.023610

@article{Haussmann2007Therm-22014, title={Thermodynamics of the BCS-BEC crossover}, year={2007}, doi={10.1103/PhysRevA.75.023610}, number={2}, volume={75}, issn={1050-2947}, journal={Physical Review A}, author={Haussmann, Rudolf and Rantner, Walter and Cerrito, Stefano and Zwerger, Willhelm} }

<rdf:RDF xmlns:dcterms="" xmlns:dc="" xmlns:rdf="" xmlns:bibo="" xmlns:dspace="" xmlns:foaf="" xmlns:void="" xmlns:xsd="" > <rdf:Description rdf:about=""> <dc:contributor>Zwerger, Willhelm</dc:contributor> <dc:creator>Haussmann, Rudolf</dc:creator> <dcterms:bibliographicCitation>Physical Review A ; 75 (2007), 2. - 023610</dcterms:bibliographicCitation> <foaf:homepage rdf:resource="http://localhost:8080/jspui"/> <dcterms:available rdf:datatype="">2013-02-26T10:56:40Z</dcterms:available> <dc:contributor>Haussmann, Rudolf</dc:contributor> <dcterms:rights rdf:resource=""/> <dc:language>eng</dc:language> <dc:contributor>Cerrito, Stefano</dc:contributor> <dc:date rdf:datatype="">2013-02-26T10:56:40Z</dc:date> <dc:creator>Rantner, Walter</dc:creator> <dcterms:isPartOf rdf:resource=""/> <dspace:isPartOfCollection rdf:resource=""/> <dcterms:abstract xml:lang="eng">We present a self-consistent theory for the thermodynamics of the BCS-BEC crossover in the normal and superfluid phase which is both conserving and gapless. It is based on the variational many-body formalism developed by Luttinger and Ward and by DeDominicis and Martin. Truncating the exact functional for the entropy to that obtained within a ladder approximation, the resulting self-consistent integral equations for the normal and anomalous Green functions are solved numerically for arbitrary coupling. The critical temperature, the equation of state and the entropy are determined as a function of the dimensionless parameter $1/k_Fa$, which controls the crossover from the BCS-regime of extended pairs to the BEC-regime of tightly bound molecules. The tightly bound pairs turn out to be described by a Popov-type approximation for a dilute, repulsive Bose gas. Even though our approximation does not capture the critical behaviour near the continuous superfluid transition, our results provide a consistent picture for the complete crossover thermodynamics which compare well with recent numerical and field-theoretic approaches at the unitarity point.</dcterms:abstract> <dc:contributor>Rantner, Walter</dc:contributor> <dc:rights>terms-of-use</dc:rights> <dc:creator>Cerrito, Stefano</dc:creator> <dc:creator>Zwerger, Willhelm</dc:creator> <bibo:uri rdf:resource=""/> <dcterms:issued>2007</dcterms:issued> <void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/> <dcterms:title>Thermodynamics of the BCS-BEC crossover</dcterms:title> </rdf:Description> </rdf:RDF>

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