NMR Frequency Shifts and Phase Identification in Superfluid ${}^3$He

Abstract

The pressure dependence of the order parameter in superfluid ${}^3$He is amazingly simple. In the Ginzburg-Landau regime, i.e. close to $T_c$, the square of the order parameter can be accurately measured by its proportionality to NMR frequency shifts and is strictly linear in pressure. This behavior is replicated for superfluid ${}^3$He imbibed in isotropic and anisotropic silica aerogels. The proportionality factor is constrained by the symmetry of the superfluid state and is an important signature of the corresponding superfluid phase. For the purpose of identifying various new superfluid states in the $p$-wave manifold, the order parameter amplitude of ${}^3$He-A is a useful reference, and this simple pressure dependence greatly facilitates identification.

References in corpus (10)

• Models for Superfluid ${}^3$He in Aerogel
• Polar phase of superfluid 3He in anisotropic aerogel
• New Chiral Phases of Superfluid 3He Stabilized by Anisotropic Silica Aerogel
• Impurity Effects of Aerogel in Superfluid ${}^3$He
• Strong Coupling Corrections to the Ginzburg-Landau Theory of Superfluid ^{3}He
• Superfluid phases of ${}^3$He in nano-scale channels
• Identification of Superfluid Phases of 3He in Uniformly Isotropic 98.2% Aerogel
• Specific Heat of Disordered Superfluid ${}^3$He
• Spontaneous helical order of a chiral p-wave superfluid confined in nano-scale channels
• Superflow-Stabilized Nonlinear NMR in Rotating 3He-B

Cited by in corpus (5)

• The Effect of Magnetic Impurities on Superfluid ${}^3$He in Aerogel
• Magnetic Susceptibility of Andreev Bound States in Superfluid ${}^3$He-B
• Planar and Nematic Aerogels: DLCA and Superfluid 3He
• Orbital-Flop Transition of Angular Momentum in a Topological Superfluid
• Chiral superfluid helium-3 in the quasi-two-dimensional limit