Russian Doll Renormalization Group and Superconductivity

TL;DR

This paper introduces a novel extension of the BCS Hamiltonian that results in multiple condensates with self-similar properties, characterized by a cyclic renormalization group flow.

Contribution

It presents a new theoretical framework linking cyclic RG flow to multiple superconducting condensates in an extended BCS model.

Findings

Multiple condensates with different energy gaps identified.

Cyclic RG flow leads to self-similar superconducting states.

Extension of BCS Hamiltonian exhibits novel RG behavior.

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.