Crossover from BCS‐superconductivity to Bose‐condensation

M. Drechsler, W. Zwerger

Research output: Contribution to journalArticlepeer-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/Tc ≈ 5 which are characteristic for high Tc superconductors.

Original languageEnglish
Pages (from-to)15-23
Number of pages9
JournalAnnalen der Physik
Volume504
Issue number1
DOIs
StatePublished - 1992
Externally publishedYes

Keywords

  • Fermion Systems
  • Quantum fluids
  • Theory of superconductivity

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