Eilenberger equations for rotating superfluid3he and calculation of the upper critical angular velocity Ωc2
✍ Scribed by N. Schopohl
- Publisher
- Springer US
- Year
- 1980
- Tongue
- English
- Weight
- 908 KB
- Volume
- 41
- Category
- Article
- ISSN
- 0022-2291
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✦ Synopsis
On the basis of Gorkov' s formulation of superconductivity theory, generalized Edenberger equations are derived which apply to rotatmg superflutd He tn the presence of a magnetic field h and finite superflow v. In analogy to conventional type H superconductors, the possibility of vortex solutions is discussed. An implicit equation determining the upper critical angular velocity flee as a function of temperature T, magnetic field h, and superflow v parallel to the rotation axis is.inferred from the linearized Eilenberger equations. In contrast to the case of slowly rotating 3He-A, the solution of the eigenvalue problem determining the order parameter A near the upper critical angular velocity admits no coreless vortex solutions. The space-dependent amplitude of the order parameter is analogous to Abrikosov's vortex array solution, while the spin-orbit part is given either by a polar-state type or an Anderson-Brinkman-Morel (ABM)-state-type eigensolution. Among the possible eigensolutions the polar-state type yields for vanishing superflow v the highest critical rotation frequency. For finite superflow v parallel to the rotation axis, however, the ABM-state-type solution is stabilized in comparison to the polar state for [vl ~> 0.2rr(Tco/TF)VF at zero temperature.