Absence of the Vortex Solution in Gor'kov's Formalism

Yong-Jihn Kim

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arXiv · cond-mat/9912464

Absence of the Vortex Solution in Gor'kov's Formalism

Yong-Jihn Kim

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Abstract

It is shown that the Abrikosov's vortex solution or its corresponding two-particle pair potential is not the solution of the self-consistency equation in Gor'kov's formalism. Since the self-consistency equation leads to a superposition of different types of off-diagonal long-range order (ODLRO) instead of one type of ODLRO only, it may not handle the vortex problem appropriately. A possible resolution is suggested.

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Yong-Jihn Kim. 1999-12-28. Absence of the Vortex Solution in Gor'kov's Formalism. https://arxiv.org/abs/cond-mat/9912464

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