English

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

Superconductivity 2018-11-14 v2

Abstract

The pressure dependence of the order parameter in superfluid 3^3He is amazingly simple. In the Ginzburg-Landau regime, i.e. close to TcT_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 3^3He 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 pp-wave manifold, the order parameter amplitude of 3^3He-A is a useful reference, and this simple pressure dependence greatly facilitates identification.

Keywords

Cite

@article{arxiv.1808.07943,
  title  = {NMR Frequency Shifts and Phase Identification in Superfluid $^3$He},
  author = {A. M. Zimmerman and M. D. Nguyen and W. P. Halperin},
  journal= {arXiv preprint arXiv:1808.07943},
  year   = {2018}
}
R2 v1 2026-06-23T03:42:26.191Z