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Multi-gapped states in BCS superconductors

2010/02/28 by Eldad Bettelheim · 3 citations
Mathematics · Physics and Astronomy · #Amplitude #BCS theory #Cold Atom Physics and Bose-Einstein Condensates #Condensed matter physics #Cooper pair #Hamiltonian (control theory) #Instability #Mathematics #Pairing #Physics #Physics of Superconductivity and Magnetism #Quantum #Quantum and electron transport phenomena #Quantum mechanics #Superconductivity #cond-mat.supr-con

paper · pdf · doi:10.1209/0295-5075/90/67002

published in Europhysics Letters (EPL) 90(6), 67002 (Institute of Physics) · Text expanded, figures added, Journal Ref and DOI added

openalex publication_date 2010/06/01 · arxiv created 2010/07/08 · arxiv updated 2010/07/09 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

A BCS (Bardeen-Cooper-Schrieffer) superconductor, which is placed out of equilibrium, can develop quantum instabilities, which manifest themselves in oscillations of the superconductor's order parameter (pairing amplitude Δ). These instabilities are manifestations of the Cooper instability. Inelastic collisions are essential in resolving those instabilities. Incorporating the quantum instabilities and collisions in a unified approach based on Richardson's exact solution of the pairing Hamiltonian, we find that a BCS superconductor may end up in a state in which the spectrum has more than one gap.

Citations