Russian doll renormalization group and superconductivity

2002/11/15 by André LeClair, Andre LeClair, Jose Maria Roman +3 · 5 citations
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Physics of Superconductivity and Magnetism #Quantum, superfluid, helium dynamics #cond-mat.str-el #cond-mat.supr-con #hep-th #nucl-th

paper · pdf · doi:10.1103/physrevb.69.020505

published as Phys.Rev. B69 (2004) 20505 · 4 pages, 2 figs, RevTex4

arxiv created 2002/11/15 · openalex publication_date 2004/01/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that a simple extension of the standard BCS Hamiltonian leads to an infinite number of BCS eigenstates with different energy gaps and self-similar properties, described by a cyclic renormalization group flow of the BCS coupling constant which returns to its original value after a finite renormalization group time.

Cited by

• The Riemann zeros and the cyclic renormalization group
• A quantum mechanical model of the Riemann zeros
• Vacuum energy and renormalization on the edge
• Fundamentals of the exact renormalization group
• RG LIMIT CYCLES