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

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arxiv cond-mat/9911058 v1 pith:4ZITEQTW submitted 1999-11-04 cond-mat.str-el cond-mat.mes-hallmath-phmath.MPnucl-th

Jan von Delft , Fabian Braun This is my paper · ORCID
classification cond-mat.str-elcond-mat.mes-hallmath-phmath.MPnucl-th
keywords solutionexactgrainsintroductionmodelpairsrichardsonultrasmall
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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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  1. 2D CFT and efficient Bethe ansatz for exactly solvable Richardson-Gaudin models

    hep-th 2025-07 conditional novelty 3.0 of 10

    The paper identifies the Richardson Yang-Yang function with a Gaiotto-Witten irregular Virasoro block and provides a numerical solver for the Bethe equations of Richardson-Gaudin models.

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