Condensed Matter


Formation of Cooper Pairs as a Consequence of Exchange Interaction

Authors: Stanislav Dolgopolov

The singlet state of two conduction electrons and the full overlap of their wave functions in the real space may minimize the energy of the electrons. This can be shown analyzing the energy of each conduction electron in the field of every particle of a crystal by use of exchange terms. It is possible that the exchange energy of two conduction electrons in the crystal is negative and, thus, the singlet state is favorable. Thus the Pauli Exclusion Principle and the exchange interaction cause a bond between two conduction electrons. The superconductivity in a metallic crystal occurs only if conduction electrons before the pairing are put closely on the Fermi surface in the momentum space. The motion of conduction electrons in the crystal may prevent the formation of Cooper pairs, because the kinetic energy of the motion is usually much larger than the binding energy in the pair. The conduction electrons as standing waves have a zero momentum, hence their momenta are synchronous; therefore the formation of Cooper pairs is more probable than in case of nonzero momenta. The approach of standing waves explains the inverse isotope effect, behavior at high pressures and many other facts about superconductors.

Comments: 10 Pages.

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Submission history

[v1] 2016-06-19 06:03:53

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