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Martín-Rodero A, Yeyati AL. The Andreev states of a superconducting quantum dot: mean field versus exact numerical results. J Phys Condens Matter. 2012;24(38):385303doi: 10.1088/0953-8984/24/38/385303.
Martín-Rodero, A., & Yeyati, A. L. (2012). The Andreev states of a superconducting quantum dot: mean field versus exact numerical results. Journal of physics. Condensed matter : an Institute of Physics journal, 24(38), 385303. https://doi.org/10.1088/0953-8984/24/38/385303
Martín-Rodero, A, and Yeyati, A Levy. "The Andreev states of a superconducting quantum dot: mean field versus exact numerical results." Journal of physics. Condensed matter : an Institute of Physics journal vol. 24,38 (2012): 385303. doi: https://doi.org/10.1088/0953-8984/24/38/385303
Martín-Rodero A, Yeyati AL. The Andreev states of a superconducting quantum dot: mean field versus exact numerical results. J Phys Condens Matter. 2012 Sep 26;24(38):385303. doi: 10.1088/0953-8984/24/38/385303. Epub 2012 Sep 04. PMID: 22945559.
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J Phys Condens Matter. 2012 Sep 26;24(38):385303. doi: 10.1088/0953-8984/24/38/385303. Epub 2012 Sep 04.

The Andreev states of a superconducting quantum dot: mean field versus exact numerical results.

Journal of physics. Condensed matter : an Institute of Physics journal

A Martín-Rodero, A Levy Yeyati

Affiliations

  1. Departamento de Física Teórica de la Materia Condensada and Instituto Nicolás Cabrera, Universidad Autónoma de Madrid, E-28049 Madrid, Spain.

PMID: 22945559 DOI: 10.1088/0953-8984/24/38/385303

Abstract

We analyze the spectral density of a single level quantum dot coupled to superconducting leads focusing on the Andreev states appearing within the superconducting gap. We use two complementary approaches: the numerical renormalization group and the Hartree-Fock approximation. Our results show the existence of up to four bound states within the gap when the ground state is a spin doublet (π phase). Furthermore the results demonstrate the reliability of the mean field description within this phase. This is understood from a complete correspondence that can be established between the exact and the mean field quasiparticle excitation spectrum within the gap.

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