Eliashberg Equations Derived from the Functional Renormalization Group

2005/01/27 by Carsten Honerkamp, Manfred Salmhofer, M. Salmhofer · 2 citations
Physics and Astronomy · #Advanced Condensed Matter Physics #Physics of Superconductivity and Magnetism #Quantum many-body systems #cond-mat.str-el #cond-mat.supr-con

paper · pdf · doi:10.1143/ptp.113.1145

published as Prog.Theor.Phys. 113 (2005) 1145 · 9 pages, 4 figures

arxiv created 2005/01/27 · openalex publication_date 2005/06/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We describe how the fermionic functional renormalization group (fRG) flow of a Cooper+forward scattering problem can be continued into the superconducting state. This allows us to reproduce from the fRG flow the fundamental equations of the Eliashberg theory for superconductivity at all temperatures including the symmetry-broken phase. We discuss possible extensions of this approach like the inclusion of vertex corrections.

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