Cooper instability for a given field in a quiescent Fermi gas
Journal Article
·
· International Journal of Modern Physics B
- Southern Univ. and A and M College, Baton Rouge, LA (United States). Dept. of Physics
The Cooper instability in a Fermi gas is examined using the perturbative diagram approach. A graphical functional derivative technique based on Ward`s identity is developed to obtain two-particle interactions and then to calculate the vertex part. The pairing instability for a given interaction, such as a phonon (plasmon, etc.) field, occurs in a quiescent Fermi sea, i.e. without exciting or involving background particles (holes), only if the interaction is attractive, as first proposed by Cooper and adopted in the BCS (Bardeen-Cooper-Schrieffer) theory. The consequence from this technique provides a way to evaluate the effect of the vertex corrections and responses of the Fermi gas in both charge and spin channels incorporating the backward scattering process. The significance of the methodology presented in the present work lies in the fact that it can both reproduce the known results, and, more importantly, be extended to investigate the intermediate or strong coupling case, such as nuclear interactions, where a neglect of vertex corrections may not be a good approximation.
- Sponsoring Organization:
- USDOE, Washington, DC (United States)
- OSTI ID:
- 624101
- Journal Information:
- International Journal of Modern Physics B, Journal Name: International Journal of Modern Physics B Journal Issue: 6 Vol. 12; ISSN IJPBEV; ISSN 0217-9792
- Country of Publication:
- United States
- Language:
- English
Similar Records
QUASI-PARTICLES AND GAUGE INVARIANCE IN THE THEORY OF SUPERCONDUCTIVITY
A diagrammatic approach to the pairing instability in an interacting Fermi gas
BCS-BEC Crossover in a Two-Dimensional Fermi Gas
Journal Article
·
Sun Jan 31 19:00:00 EST 1960
· Physical Review (U.S.) Superseded in part by Phys. Rev. A, Phys. Rev. B: Solid State, Phys. Rev. C, and Phys. Rev. D
·
OSTI ID:4171413
A diagrammatic approach to the pairing instability in an interacting Fermi gas
Conference
·
Mon Dec 30 23:00:00 EST 1996
·
OSTI ID:548459
BCS-BEC Crossover in a Two-Dimensional Fermi Gas
Journal Article
·
Fri Mar 18 00:00:00 EDT 2011
· Physical Review Letters
·
OSTI ID:21562094