A new basis set for the description of electrons in superconductors

Physics Letters A 373, 1880 (2009), dx.doi.org/doi:10.1016/j.physleta.2009.03.058 Erratum: Physics Letters A 373, 2800 (2009), dx.doi.org/doi:10.1016/j.physleta.2009.05.033
arxiv: 1001.1343 (Los Alamos)

In the usual description of electrons in metals and superconductors, the single electron states are assumed to satisfy Bloch's theorem. This is because the electron-ion interaction is privileged over the electron-electron interaction. However the theory of hole superconductivity proposes that in the transition to superconductivity carriers 'undress' from the electron-ion interaction. I propose here a new basis set to describe electrons in the superconducting state that does not satisfy Bloch's theorem but instead is designed to optimize the electron-electron interaction. The new basis set favors a superconducting state where a spin current exists and where states near the bottom of the band become partially occupied, as predicted by the theory of hole superconductivity.

Erratum: Some typographical errors are corrected and three references are added.