  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.
