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Strong-coupling expansion for the pairing Hamiltonian for small superconducting metallic grains

2003/05/28 by Emil A. Yuzbashyan, Alexander A. Baytin, Boris L. Altshuler +1
Physics and Astronomy · #Advanced Chemical Physics Studies #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #cond-mat.str-el

paper · pdf · doi:10.1103/physrevb.68.214509

published as Phys.Rev.B68:214509,2003 · 16 pages, 3 figures

arxiv created 2003/05/28 · openalex publication_date 2003/12/16 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

The paper is devoted to the study of the effects due to superconducting pairing in small metallic grains. We explicitly determine the low-energy spectrum of the problem at strong superconducting coupling and in the limit of large Thouless conductance. We start with the strong-coupling limit and develop a systematic expansion in powers of the inverse coupling constant for the many-particle spectrum of the system. The strong- coupling expansion is based on the formal exact solution of the Richardson model and converges for realistic values of the coupling constant. We use this expansion to study the low-energy excitations of the system, in particular energy and spin gaps in the many-body spectrum.

Citations