Eilenberger equations for rotating superfluid 3he and calculation of the upper critical angular velocity Ωc2
Eilenberger equations for rotating superfluid 3he and calculation of the upper critical angular velocity Ωc2
复制标题
旋转超流体3he的Eilenberger方程及上临界角速度Ωc2的计算
DOI：
10.1007/bf00117950
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发表时间：
1980
影响因子：
2
通讯作者：
N. Schopohl
中科院分区：
文献类型：
--
作者：
N. Schopohl
根据Gorkov提出的超导理论，导出了适用于磁场有限超流中旋转超流3He的广义Eilenberger方程。与传统的II型超导体类似，讨论了涡旋解的可能性。从线性化的Eilenberger方程出发，推导出确定上临界角速度Ωc2的隐式方程，该方程是温度T、磁场h和平行于旋转轴的超流Ν的函数。与慢旋转3He-A的情况不同，在上临界角速度附近确定序参数δ的本征值问题的解不允许有无心涡解。序参数的空间相关幅度类似于Abrikosov涡旋阵解，而自旋轨道部分由极态解或Anderson-Brinkman-Morel(ABM)态本征解给出。在可能的本征解中，极态型产生消失超流的最高临界旋转频率。然而，对于平行于旋转轴的有限超流v，与零温下的ν|≥0.2π(Tc0/Tf)νF的极态相比，ABM态类型的解是稳定的。
On the basis of Gorkov's formulation of superconductivity theory, generalized Eilenberger equations are derived which apply to rotating superfluid3He in the presence of a magnetic fieldhand 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 Ωc2as a function of temperatureT, magnetic fieldh, and superflow Ν parallel to the rotation axis is·inferred from the linearized Eilenberger equations. In contrast to the case of slowly rotating3He-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.