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Crossover from BCS to Bose superconductivity: Transition temperature and time-dependent Ginzburg-Landau theory
Abstract
We use a functional integral formulation to study the finite temperature crossover from cooperative Cooper pairing to independent bound state formation and condensation. We show the inadequacy of mean field results for normal state properties obtained at the saddle point level as the coupling increases. The importance of quantum (temporal) fluctuations is pointed out and an interpolation scheme for ${\mathit{T}}_{\mathit{c}}$ is derived from this point of view. The time-dependent Ginzburg-Landau (TDGL) equation near ${\mathit{T}}_{\mathit{c}}$ is shown to describe a damped mode in the BCS limit, and a propagating one in the Bose limit. A singular point is identified at intermediate coupling where a simple TDGL description fails.
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Citations
Cited by
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Cubizolles, J., Bourdel, T., Kokkelmans, S. J. J. M. F., Shlyapnikov, G. V., & Salomon, C. (2003) · Physical Review Letters · doi:10.1103/physrevlett.91.240401 · Cited by 373
Metadata
- Authors
- Sá de Melo, C. A. R., Randeria, M., & Engelbrecht, J. R.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1993-11-08
- Volume
- 71
- Issue
- 19
- Pages
- 3202-3205
- ISSN
- 0031-9007 (ISSN-L)
- OpenAlex
- W2069889729
- Cited by
- 861
- References
- 0
- FWCI
- 5.58
- Type
- journal article
- Language
- en
- Open access
- closed
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- Sá de Melo, C. A. R., Randeria, M., & Engelbrecht, J. R. (1993). Crossover from BCS to Bose superconductivity: Transition temperature and time-dependent Ginzburg-Landau theory. Physical Review Letters. https://doi.org/10.1103/physrevlett.71.3202
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