Circulating electrons, superconductivity, and the Darwin-Breit interaction

Details Circulating electrons, superconductivity, and the Darwin-Breit interaction Circulating electrons, superconductivity, and the Darwin-Breit interaction

2000-02-07

arxiv.org/abs/cond-mat/0002096v1

Physics

Condensed Matter

Superconductivity

10 pages, no figures, RevTeX, rejected by PRB, to be submitted elsewhere

Scientific paper

The importance of the Darwin-Breit interaction between electrons in solids at low temperatures is investigated. The model problem of particles on a circle is used and applied to mesoscopic metal rings in their normal state. The London moment formula for a rotating superconducting body is used to calculate the number, $N$, of superconducting electrons in the body. This number is found to be equal to the size, $R$, of the system divided by the classical electron radius, i.e. $N=Rmc^2/e^2$. The Darwin-Breit interaction gives a natural explanation for this relation from first principles. It also is capable of electron pairing. Collective effects of this interaction require a minimum of two dimensions but electron pairing is enhanced in one-dimensional systems.

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