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Large N limit of the exactly solvable BCS model: analytics versus numerics

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arxiv cond-mat/0202070 v2 pith:NRYPJV6J submitted 2002-02-05 cond-mat.supr-con nucl-th

J.M. Roman , G. Sierra (IFT , CSIC/UAM , Spain) , J. Dukelsky (IEM , CSIC This is my paper
classification cond-mat.supr-connucl-th
keywords energylargelimitmodelrichardsonanalyticanalyticscompare
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We have studied the numerical solutions of Richardson equations of the BCS model in the limit of large number of energy levels at half-filling, and compare them with the analytic results derived by Gaudin and Richardson, which in turn leads to the standard BCS solution. We focus on the location and density of the roots, the eigenvalues of the conserved quantities, and the scaling properties of the total energy for the equally spaced and the two-level models.

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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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