Strong coupling corrections to the Ginzburg-Landau theory of superfluid
- 3 May 2007
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 75 (17), 174503
- https://doi.org/10.1103/physrevb.75.174503
Abstract
In the Ginzburg-Landau theory of superfluid , 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 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 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 in its various states. We discuss the surface tension of bulk superfluid 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.
Keywords
This publication has 42 references indexed in Scilit:
- Hydrostatic Theory of Superfluid 3He-BJournal of Low Temperature Physics, 2001
- High-resolution nuclear magnetic resonance of superfluidPhysical Review Letters, 1994
- The Superfluid Phases of Helium 3Physics Today, 1991
- Ginzburg-Landau theory of vortices in superfluidHe-BPhysical Review B, 1987
- specific heat and thermometry at millikelvin temperaturesPhysical Review B, 1986
- Potential-scattering models for the quasiparticle interactions in liquidPhysical Review B, 1981
- Simple model for the quasiparticle interactions in. I. The superfluid transition temperaturesPhysical Review B, 1979
- Simple model for the quasiparticle interactions in. II. Transport coefficients and the superfluid free energyPhysical Review B, 1979
- Free energy of superfluidPhysical Review B, 1976
- A theoretical description of the new phases of liquidReviews of Modern Physics, 1975