A new basis set for the description of electrons in superconductors

Abstract

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.

References in corpus (7)

• Charge expulsion and electric field in superconductors
• Spin Meissner Effect in Superconductors and the Origin of the Meissner Effect
• The Lorentz force and superconductivity
• The missing angular momentum of superconductors
• Superconductors as giant atoms predicted by the theory of hole superconductivity
• Why holes are not like electrons. II. The role of the electron-ion interaction
• Spin currents in superconductors

Cited by in corpus (1)

• Why holes are not like electrons. IV. Hole undressing and spin current in the superconducting state