Journal ArticleDOI
Eilenberger equations for rotating superfluid 3 he and calculation of the upper critical angular velocity Ω c2
TLDR
In this paper, generalized Eilenberger equations are derived for rotating superfluid 3He in the presence of a magnetic field h and finite superflow v parallel to the rotation axis, in analogy to conventional type II superconductors, the possibility of vortex solutions is discussed.Abstract:
On the basis of Gorkov's formulation of superconductivity theory, generalized Eilenberger equations are derived which apply to rotating superfluid 3He in the presence of a magnetic field h and finite superflow v. In analogy to conventional type II superconductors, the possibility of vortex solutions is discussed. An implicit equation determining the upper critical angular velocity Ωc2 as a function of temperature T, magnetic field h, and superflow Ν 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 δ 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 |ν|≥0.2π(Tc0/TF)νF at zero temperature.read more
Citations
More filters
Journal ArticleDOI
The quasiclassical approach to superfluid 3He
J. W. Serene,D. Rainer +1 more
TL;DR: In this article, the authors developed the quasiclassical theory for normal and superfluid liquid 3 He using a systematic expansion in small parameters such as δ/E F, ϵ 0 −1 / k F, etc., and paying particular attention to the high-energy renormalizations of the external pertubations and observables.
Journal ArticleDOI
Theory of the Spin Seebeck Effect
TL;DR: The theoretical basis for understanding the spin Seebeck effect is presented and the inverse spin Hall effect converts the injected spin current into a transverse charge voltage, thereby producing electromotive force as in the conventional charge Seebeck device.
Journal ArticleDOI
Theory of the spin Seebeck effect.
TL;DR: The spin Seebeck effect refers to the generation of a spin voltage caused by a temperature gradient in a ferromagnet, which enables the thermal injection of spin currents from the ferromagnetic magnet into an attached nonmagnetic metal over a macroscopic scale of several millimeters as mentioned in this paper.
Journal ArticleDOI
Temperature dependence of the superfluid density in a noncentrosymmetric superconductor
TL;DR: In this article, a Cooper pairing model with a two-component order parameter composed of spin-singlet and spin-triplet pairing components was proposed to calculate the superfluid density tensor in the clean limit on the basis of quasiclassical theory of superconductivity.
Journal ArticleDOI
Nuclear magnetic relaxation rate in a noncentrosymmetric superconductor
TL;DR: In this article, it was shown that noncentrosymmetric superconductors possess order parameters of mixed parity, i.e., the Cooper pairing state consists of spin-singlet and spin-triplet pairing components.
References
More filters
Journal ArticleDOI
Handbook of Mathematical Functions
Journal ArticleDOI
A theoretical description of the new phases of liquid He-3
TL;DR: In this article, a review of the theory of anisotropic superfluid phases and its application to the new A and B phases of liquid $^{3}mathrm{He}$ is presented, with emphasis on the spin-dependent interaction arising from virtual spin polarization of the medium.
Journal ArticleDOI
Transformation of Gorkov's equation for type II superconductors into transport-like equations
TL;DR: In this paper, the stationary behavior of type II superconductors is completely described by Gorkov's equations for a set of four Green's functions, supplemented by two self-consistency equations for gap parameter Δ(r) and vector potentialA(r).
Journal ArticleDOI
Temperature and Purity Dependence of the Superconducting Critical Field, H c 2 . II
Eugene Helfand,N. R. Werthamer +1 more
TL;DR: In this paper, a rigorous solution of the linearized Gor'kov equations is presented, yielding the complete temperature and electron-mean-free-path dependences of the upper critical magnetic field of a bulk type-II superconductor.