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Pairing phenomena in strongly correlated Fermi liquids

Journal Article · · Phys. Rev. B: Condens. Matter; (United States)
; ;
The correlated-basis-functions (CBF) method is extended to deal with pairing phenomena in strongly correlated Fermi liquids. With a variational ansatz for the model wave function we derive the ''correlated'' analog of the conventional Bardeen-Cooper-Schrieffer (or Balian-Werthamer,) Anderson-Brinkman-Morel theory of pairing. A suitable (and well-controlled) set of approximations brings the theory into a form identical to the conventional theories, but with the bare interaction replaced by a weak effective interaction and the bare single-particle energies replaced by an effective single-particle spectrum. As usual, liquid /sup 3/He provides a very stringent test of the theory, as both the interaction and the experimental facts are pretty clear. The variational estimates for the pairing interaction are improved by nonorthogonal perturbation theory. We find the expected enhancement of the attraction in P-waves, although the restriction to effective two-body interactions appears to be insufficient to generate P-wave pairing.
Research Organization:
Department of Physics, State University of New York, Stony Brook, New York 11794
OSTI ID:
6016987
Journal Information:
Phys. Rev. B: Condens. Matter; (United States), Journal Name: Phys. Rev. B: Condens. Matter; (United States) Vol. 24:11; ISSN PRBMD
Country of Publication:
United States
Language:
English

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Related Subjects

640450* -- Fluid Physics-- Superfluidity
640460 -- Fluid Physics-- Other Quantum Fluids
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
CORRELATED-PARTICLE MODELS
ELECTRON GAS
EVEN-ODD NUCLEI
FERMI GAS
FLUIDS
FUNCTIONS
HELIUM 3
HELIUM ISOTOPES
INTERACTIONS
ISOTOPES
LANDAU LIQUID HELIUM THEORY
LIGHT NUCLEI
LIQUIDS
MATHEMATICAL MODELS
MATTER
NUCLEAR MATTER
NUCLEI
PAIRING INTERACTIONS
PARTICLE MODELS
PERTURBATION THEORY
QUANTUM FLUIDS
QUASI PARTICLES
STABLE ISOTOPES
SUPERFLUIDITY
VARIATIONAL METHODS
WAVE FUNCTIONS