Pairing in the Bogoliubov-de Gennes equations

Details Pairing in the Bogoliubov-de Gennes equations Pairing in the Bogoliubov-de Gennes equations

1997-01-15

arxiv.org/abs/cond-mat/9701102v1

Physics

Condensed Matter

Superconductivity

16 pages, revtex, no figures, to appear in Int. J. Mod. Phys. B

Scientific paper

10.1142/S0217979297000885

It is shown that the Bogoliubov-de Gennes equations pair the electrons in states which are linear combinations of the normal states. Accordingly, the BCS-like reduction procedure is required to choose a correct pairing. For a homogeneous system, we point out that the kernel of the self-consistency equation derived from the Bogoliubov-de Gennes equations needs to be constrained by the BCS pairing condition. In the presence of ordinary impurities, on the other hand, the Bogoliubov-de Gennes equations should be supplemented by Anderson's pairing condition to obtain the correct vacuum state by the corresponding unitary transformation. This results in localization correction to the phonon-mediated interaction.

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