Model of Inhomogeneous Impurity Distribution in Fermi Superfluids
arXiv:cond-mat/0301154 · doi:10.1103/PhysRevB.67.214507
Abstract
The standard treatment of impurities in metals assumes a homogeneous distribution of impurities. In this paper we study distributions that are inhomogeneous. We discuss in detail the "isotropic inhomogeneous scattering model" which takes into account the spatially varying scattering on the scale of the superfluid coherence length. On a large scale the model reduces to a homogeneous medium with renormalized parameter values. We apply the model to superfluid 3He, where porous aerogel acts as the impurity. We calculate the transition temperature Tc, the order parameter, and the superfluid density. Both A- and B-like phases are considered. Two different types of behavior are identified for the temperature dependence of the order parameter. We compare the calculations with experiments on 3He in aerogel. We find that most of the differences between experiments and the homogeneous theory can be explained by the inhomogeneous model. All our calculations are based on the quasiclassical theory of Fermi liquids. The parameters of this theory for superfluid 3He in aerogel are discussed.
arXiv comment14 pages, 9 figures, minor changes
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- Anisotropic 2D Larkin-Imry-Ma state in polar distorted ABM phase of 3He in "nematically ordered" aerogel
- Effect of correlated disorder on the temperature of unconventional Cooper pairing (3He in aerogel)
- Ultrasound attenuation of superfluid He in aerogel
- Superfluid He in globally isotropic random media
- Superfluid He in Planar Aerogel
- Ultrasound attenuation and a P-B-T phase diagram of superfluid 3He in 98% aerogel
- Square-well model for superconducting pair-potential
- Dissipation signatures of the normal and superfluid phases in torsion pendulum experiments with 3He in aerogel
- Coherent reaction of Fermi superfluid on correlated disorder