2019/11/12 by F. Marsiglio · 142 citations
Materials Science · Physics and Astronomy · #Measure (data warehouse) #Order (exchange) #Organic and Molecular Conductors Research #Physics of Superconductivity and Magnetism #Point (geometry) #Quantum and electron transport phenomena #Superconductivity #Work (physics) #cond-mat.supr-con
paper · pdf · doi:10.1016/j.aop.2020.168102
published in Annals of Physics 417, 168102 (Elsevier BV) · 18 pages, short review article on the Eliashberg Theory of Superconductivity, targeted for the "Eliashberg 90" special issue in honour of Sima Eliashberg's90th birthday
arxiv created 2019/11/12 · openalex created_date 2019/11/22 · openalex publication_date 2020/02/18 · arxiv updated 2020/07/06 · openalex updated_date 2026/08/05
Eliashberg theory is a theory of superconductivity that describes the role of phonons in providing the attractive interaction between two electrons. Phonon dynamics are taken into account, thus giving rise to retardation effects that impact the electrons, in the form of a frequency-dependent electron self-energy. In the superconducting state, this means that the order parameter, generally considered to be a static quantity in the Bardeen-Cooper-Schrieffer (BCS) theory, also becomes frequency-dependent. Here we review the finite temperature formulation of Eliashberg theory, both on the imaginary and real frequency axis, and briefly display some examples of the consequences of a dynamical, as opposed to static, interaction. Along the way we point out where further work is required, concerning the validity of some of the assumptions used.