Superconductivity in Ultrasmall Grains: Introduction to Richardson's Exact Solution

Details Superconductivity in Ultrasmall Grains: Introduction to Richardson's Exact Solution Superconductivity in Ultrasmall Grains: Introduction to Richardson's Exact Solution

1999-11-04

arxiv.org/abs/cond-mat/9911058v1

Proceedings of the NATO ASI "Quantum Mesoscopic Phenomena and Mesoscopic Devices in Microelectronics", Ankara/Antalya, Turkey,

Physics

Condensed Matter

Strongly Correlated Electrons

10 pages, 1 figure, Submitted to the Proceedings of the NATO ASI "Quantum Mesoscopic Phenomena and Mesoscopic Devices in Micro

Scientific paper

Studies of pairing correlations in ultrasmall metallic grains have commonly been based on a simple reduced BCS-model describing the scattering of pairs of electrons between discrete energy levels that come in time-reversed pairs. This model has an exact solution, worked out by Richardson in the context of nuclear physics in the 1960s. Here we give a tutorial introduction to his solution, and use it to check the quality of various previous treatments of this model.

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