Strong coupling corrections to the Ginzburg-Landau theory of superfluid {sup 3}He
- Department of Physics and Astronomy, Northwestern University, Evanston, Illinois 60208 (United States)
In the Ginzburg-Landau theory of superfluid {sup 3}He, the free energy is expressed as an expansion of invariants of a complex order parameter. Strong coupling effects, which increase with increasing pressure, are embodied in the set of coefficients of these order-parameter invariants [A. J. Leggett, Rev. Mod. Phys. 47, 331 (1975); E. V. Thuneberg, Phys. Rev. B 36, 3583 (1987); J. Low Temp. Phys. 122, 657 (2001)]. Experiments can be used to determine four independent combinations of the coefficients of the five fourth-order invariants. This leaves the phenomenological description of the thermodynamics near T{sub c} incomplete. Theoretical understanding of these coefficients is also quite limited. We analyze our measurements of the magnetic susceptibility and the NMR frequency shift in the B phase which refine the four experimental inputs to the phenomenological theory. We propose a model based on existing experiments, combined with calculations by Sauls and Serene [Phys. Rev. B 24, 183 (1981)] of the pressure dependence of these coefficients, in order to determine all five fourth-order terms. This model leads us to a better understanding of the thermodynamics of superfluid {sup 3}He in its various states. We discuss the surface tension of bulk superfluid {sup 3}He and predictions for novel states of the superfluid such as those that are stabilized by elastic scattering of quasiparticles from a highly porous silica aerogel.
- OSTI ID:
- 20957837
- Journal Information:
- Physical Review. B, Condensed Matter and Materials Physics, Vol. 75, Issue 17; Other Information: DOI: 10.1103/PhysRevB.75.174503; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 1098-0121
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
SUPERCONDUCTIVITY AND SUPERFLUIDITY
CORRECTIONS
ELASTIC SCATTERING
FREE ENERGY
GINZBURG-LANDAU THEORY
HELIUM 3
MAGNETIC SUSCEPTIBILITY
NUCLEAR MAGNETIC RESONANCE
ORDER PARAMETERS
POROUS MATERIALS
PRESSURE DEPENDENCE
QUASI PARTICLES
SILICA
STRONG-COUPLING MODEL
SUPERFLUIDITY
SURFACE TENSION
THERMODYNAMICS