Strong coupling corrections to the Ginzburg-Landau theory of superfluid He3

H. Choi*, J. P. Davis, J. Pollanen, T. M. Haard, W. P. Halperin

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

28 Scopus citations


In the Ginzburg-Landau theory of superfluid He3, 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. 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 Tc 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 He3 in its various states. We discuss the surface tension of bulk superfluid He3 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.

Original languageEnglish (US)
Article number174503
JournalPhysical Review B - Condensed Matter and Materials Physics
Issue number17
StatePublished - May 3 2007

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

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