Russian Doll Renormalization Group and Superconductivity

Abstract

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

4 pages, 2 figs, RevTex4

References in corpus (5)

• Renormalization of the Three-Body System with Short-Range Interactions
• Spectroscopy of discrete energy levels in ultrasmall metallic grains
• Limit cycles in quantum theories
• Large N limit of the exactly solvable BCS model: analytics versus numerics
• Strong-weak coupling duality in anisotropic current interactions

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