Superfluid ${}^3$He in globally isotropic random media

Abstract

Recent theoretical and experimental studies of superfluid ${}^3$He in aerogels with a global anisotropy, e.g., due to an external stress, have definitely shown that the A-like phase with an equal spin pairing (ESP) in such aerogel samples is in the ABM (or, axial) pairing state. In this paper, the A-like phase of superfluid ${}^3$He in globally {\it isotropic} aerogel is studied in details by assuming a weakly disordered system in which singular topological defects are absent. Through calculation of the free energy, a disordered ABM state is found to be the best candidate of the pairing state of the globally isotropic A-like phase. Further, it is found through a one-loop renormalization group calculation that the coreless continuous vortices (or, vortex-skyrmions) are irrelevant to the long-distance behavior of the disorder-induced textures, and that the superfluidity is maintained in spite of lack of the conventional off-diagonal long range order. Therefore, the globally isotropic A-like phase at weak disorder is, like in the case with a global stretched anisotropy, a superfluid glass with the ABM pairing.

Revised version accepted for publication in Phys.Rev.B

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Cited by in corpus (6)

• Anisotropic Strong Coupling Effects on Superfluid 3He in Aerogels - Conventional Spin-Fluctuation Approach -
• Stripe order in superfluid 3He confined in narrow cylinders
• The Effect of Magnetic Impurities on Superfluid ${}^3$He in Aerogel
• Surface scattering effect and the stripe order in films of the superfluid ${}^3$He B phase
• Ultrasound attenuation and a P-B-T phase diagram of superfluid 3He in 98% aerogel
• Vortex core transitions in superfluid 3He in globally anisotropic aerogels