Real time Gor'kov equations and the accompanying electric current expression in terms of the retarded Green's functions are established at finite temperatures with the aid of the Closed-Time-Path-Green's-Function formalism. The fluctuation-dissipation theorem then helps us to obtain nonlocal G-L equations near Tc which reduces to the conventional G-L equations in the local limit. The kernel containing nonlocal effects in our equations has an asymptotic behavior k-2 for k → ∞ and is, therefore, quite different from the BCS kernel. This novel kernel leads naturally to reversal of the magnetic field in the neighborhood of a vortex in type Ⅱ/1 superconductors.
Abstract
Real time Gor'kov equations and the accompanying electric current expression in terms of the retarded Green's functions are established at finite temperatures with the aid of the Closed-Time-Path-Green's-Function formalism. The fluctuation-dissipation theorem then helps us to obtain nonlocal G-L equations near Tc which reduces to the conventional G-L equations in the local limit. The kernel containing nonlocal effects in our equations has an asymptotic behavior k-2 for k → ∞ and is, therefore, quite different from the BCS kernel. This novel kernel leads naturally to reversal of the magnetic field in the neighborhood of a vortex in type Ⅱ/1 superconductors.
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参考文献
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脚注
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基金
The project was supported by the Beijing Research Center for Superconductivity and the National Natural Science Foundation of China.
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