Kinetic equations for clean superconductors: Application to the flux flow hall effect

Kinetic equations for clean superconductors: Application to the flux flow hall effect
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清洁超导体的动力学方程:在通量流霍尔效应中的应用

DOI:
10.1007/bf00752983
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发表时间:
1994
影响因子:
2
通讯作者:
N. B. Kopnin
N. B. Kopnin
中科院分区:
物理与天体物理3区
文献类型:
--
作者:
N. B. Kopnin

文献摘要

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导出了清洁超导体(L≫ξ)的动力学方程。将含时格林函数方程在准经典参数中展开,得到了包含分布函数对准粒子动量导数的新贡献。在ℏEf/Δ2量级的驰豫时间内,发生了从超净(无弛豫)到弛豫主导行为的转变,其动力学方程与通常的准经典近似相吻合.动力学方程可用于包括磁通-流霍尔效应在内的各种超导体动力学过程.导出的方程经过必要的修改后,特别适用于3He超流性理论中的非定常问题。
The kinetic equations for clean superconductors (l≫ξ) are derived. Expanding the equations for the time dependent Green functions in the quasiclassical parameter, the new contributions are found which contain the derivatives of the distribution functions with respect to the quasiparticle momentum. The transition from the ultra-clean case (no relaxation) to a relaxation-dominated behavior, for which the kinetic equations coincide with the usual quasiclassical approximation, occurs for the relaxation time of the order of ℏEF/Δ2. The kinetic equations can be used for various dynamic processes in superconductors including the flux-flow Hall effect. The derived equations, after necessary modifications for the p-wave pairing, are especially suitable for nonstationary problems in the theory of superfluidity of3He.