A diagrammatic approach to the pairing instability in an interacting Fermi gas

Conference · Tue Dec 31 04:00:00 EST 1996

OSTI ID:548459

Malozovsky, Y M; Fan, J D ^[1]

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1. Southern Univ. and A and M Coll., Baton Rouge, LA (United States). Dept. of Physics

The pairing instability induced by either a given attractive interaction or particle-hole excitations is examined by using the perturbational diagram approach. A graphical functional derivative method based on Ward`s identity is developed to represent the contributions to the interparticle interactions from different channels. It is shown that pairing instability for the electrons excited from the Fermi sea may happen due to the presence of holes even when the original interaction is repulsive. Thus, in contrast to the Cooper instability caused by a given attractive interaction, the pairing instability can be induced by the particle-hole excitations. The scattering diagrams from this model allows one to evaluate the two particle vertex function and {Tc} by using the pole condition of the vertex function. It has been found that {Tc} can reach quite high values and gives rise to the bell shape. The application of the results to a layered two-dimensional Fermi gas is considered.

• Sponsoring Organization: USDOE, Washington, DC (United States); National Science Foundation, Washington, DC (United States)
• DOE Contract Number: FG02-94ER25229
• OSTI ID: 548459
• Report Number(s): CONF-960163--; ISBN 0-8194-2071-9
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
COOPER PAIRS
ELECTRON PAIRS
ELECTRON-PHONON COUPLING
MATHEMATICAL MODELS
PAIRING INTERACTIONS
PERTURBATION THEORY
SUPERCONDUCTIVITY
TRANSITION TEMPERATURE