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

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

1999-12-28

arxiv.org/abs/cond-mat/9912464v1

Physics

Condensed Matter

Superconductivity

10 pages, latex, no figure, for more information, please see http://www.fen.bilkent.edu.tr/~yjkim

Scientific paper

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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