Crossover from BCS to Bose superconductivity: Transition temperature and time-dependent Ginzburg-Landau theory

Journal Article · Mon Nov 08 04:00:00 EST 1993 · Physical Review Letters; (United States)

DOI:https://doi.org/10.1103/PhysRevLett.71.3202· OSTI ID:5722666

Sa de Melo, C A.R.; Randeria, M; Engelbrecht, J R ^[1]

---

1. Science and Technology Center for Superconductivity, Argonne National Laboratory, Argonne, Illinois 60439 (United States) Materials Science Division, Argonne National Laboratory, Argonne, Illinois 60439 (United States) Department of Physics, University of Illinois at Urbana-Champaign, 1110 West Green Street, Urbana, Illinois 61801 (United States)

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 [ital T][sub [ital c]] is derived from this point of view. The time-dependent Ginzburg-Landau (TDGL) equation near [ital T][sub [ital 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.

• Research Organization: Argonne National Laboratory (ANL), Argonne, IL
• DOE Contract Number: W-31109-ENG-38
• OSTI ID: 5722666
• Journal Information: Physical Review Letters; (United States), Journal Name: Physical Review Letters; (United States) Vol. 71:19; ISSN 0031-9007; ISSN PRLTAO
• Country of Publication: United States
• Language: English

Related Subjects

665411* -- Basic Superconductivity Studies-- (1992-)
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
BCS THEORY
BOSE-EINSTEIN CONDENSATION
COOPER PAIRS
COUPLING CONSTANTS
ELECTRIC CONDUCTIVITY
ELECTRICAL PROPERTIES
FLUCTUATIONS
FUNCTIONAL ANALYSIS
GINZBURG-LANDAU THEORY
INTEGRALS
MATHEMATICS
PHYSICAL PROPERTIES
SUPERCONDUCTIVITY
THERMODYNAMIC PROPERTIES
TRANSITION TEMPERATURE
VARIATIONS