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

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Quantum Mesoscopic Phenomena and Mesoscopic Devices in Microelectronics

Part of the book series: NATO Science Series ((ASIC,volume 559))

Abstract

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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von Delft, J., Braun, F. (2000). Superconductivity in Ultrasmall Grains: Introduction to Richardson’s Exact Solution. In: Kulik, I.O., Ellialtioğlu, R. (eds) Quantum Mesoscopic Phenomena and Mesoscopic Devices in Microelectronics. NATO Science Series, vol 559. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-4327-1_24

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  • DOI: https://doi.org/10.1007/978-94-011-4327-1_24

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-0-7923-6626-3

  • Online ISBN: 978-94-011-4327-1

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