20 research outputs found
NMR in Superfluid A-like Phase of He Confined in Globally Deformed Aerogel in Tilted Magnetic Field
NMR spectra in superfluid A-like phases confined in axially deformed aerogel
in presence of a magnetic field inclined with respect to deformation axis is
considered. The characteristic features of dipole frequency shift in axially
compressed and axially stretched cases are compared. In particular, it is shown
that in axially stretched aerogel environment the stability region of
coherently spin precessing mode is rather narrow due to the U(1)LIM effect.Comment: 8 pages, 2 figure
Impurity Effects on the A_1-A_2 Splitting of Superfluid 3He in Aerogel
When liquid 3He is impregnated into silica aerogel a solid-like layer of 3He
atoms coats the silica structure. The surface 3He is in fast exchange with the
liquid on NMR timescales. The exchange coupling of liquid 3He quasiparticles
with the localized 3He spins modifies the scattering of 3He quasiparticles by
the aerogel structure. In a magnetic field the polarization of the solid spins
gives rise to a splitting of the scattering cross-section of for `up' vs.
`down' spin quasiparticles, relative to the polarization of the solid 3He. We
discuss this effect, as well as the effects of non-magnetic scattering, in the
context of a possible splitting of the superfluid transition for
vs. Cooper pairs for superfluid 3He
in aerogel, analogous to the A_1-A_2 splitting in bulk 3He. Comparison with the
existing measurements of T_c for B< 5 kG, which show no evidence of an A_1-A_2
splitting, suggests a liquid-solid exchange coupling of order J = 0.1 mK.
Measurements at higher fields, B > 20 kG, should saturate the polarization of
the solid 3He and reveal the A_1-A_2 splitting.Comment: 7 pages, 3 figure
Model of Inhomogeneous Impurity Distribution in Fermi Superfluids
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.Comment: 14 pages, 9 figures, minor change