Strong Coupling Corrections to the Ginzburg-Landau Theory of Superfluid ^{3}He

Abstract

In the Ginzburg-Landau theory of superfluid ${}^3$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\cite{Leg75,Thu87}. 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 $T_c$ 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\cite{Sau81} 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 ${}^3$He in its various states. We discuss the surface tension of bulk superfluid ${}^3$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.

9 pages, 7 figures, 2 tables

References in corpus (1)

• Impurity Effects on the A_1-A_2 Splitting of Superfluid 3He in Aerogel

Cited by in corpus (16)

• Impurity Effects of Aerogel in Superfluid ${}^3$He
• On Nambu's Fermion-Boson Relations for Superfluid ${}^3$He-B
• Anisotropic phases of superfluid 3He in compressed aerogel
• Non-Abelian Quasi-Gapless Modes Localized on Mass Vortices in Superfluid 3He-B
• Half-quantum vortices in polar phase of superfluid He-3
• Triangular pair density wave in confined superfluid ${}^3$He
• Supercooling of the A phase of ${}^3$He
• Vortex-bound solitons in topological superfluid ${}^3$He
• Effects of a magnetic field on vortex states in superfluid ${}^3$He-B
• Strong-coupling corrections to hard domain walls in superfluid 3He-B
• Superfluid phase transition of nanoscale-confined helium-3
• Axion detection via superfluid ${}^3$He ferromagnetic phase and quantum measurement techniques
• Chiral superfluid helium-3 in the quasi-two-dimensional limit
• Dimensional crossover of superfluid ${}^3$He in a magnetic field
• Analysis of Strong-Coupling Parameters for Superfluid 3He
• The AB transition in Superfluid 3He