Crossover from BCS‐superconductivity to Bose‐condensation

M. Drechsler; W. Zwerger

doi:10.1002/andp.19925040105

Crossover from BCS‐superconductivity to Bose‐condensation

M. Drechsler, W. Zwerger

Georg August Universität Göttingen

Research output: Contribution to journal › Article › peer-review

152 Scopus citations

Abstract

Starting from a model of free Fermions in two dimensions with an arbitrary strong effective interaction, we derive a Ginzburg‐Landau theory describing the crossover from BCS‐superconductivity to Bose‐condensation. We find a smooth crossover from the standard BCS‐limit to a Gross‐Pitaevski type equation for the order parameter in a Bose superfluid. The mean field transition temperature exhibits a maximum at a coupling strength, where the behaviour crosses over from BCS to Bose like with corresponding values of 2 Δ₀/T_c ≈ 5 which are characteristic for high T_c superconductors.

Original language	English
Pages (from-to)	15-23
Number of pages	9
Journal	Annalen der Physik
Volume	504
Issue number	1
DOIs	https://doi.org/10.1002/andp.19925040105
State	Published - 1992
Externally published	Yes

Keywords

Fermion Systems
Quantum fluids
Theory of superconductivity

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AB - Starting from a model of free Fermions in two dimensions with an arbitrary strong effective interaction, we derive a Ginzburg‐Landau theory describing the crossover from BCS‐superconductivity to Bose‐condensation. We find a smooth crossover from the standard BCS‐limit to a Gross‐Pitaevski type equation for the order parameter in a Bose superfluid. The mean field transition temperature exhibits a maximum at a coupling strength, where the behaviour crosses over from BCS to Bose like with corresponding values of 2 Δ0/Tc ≈ 5 which are characteristic for high Tc superconductors.

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Crossover from BCS‐superconductivity to Bose‐condensation

Abstract

Keywords

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