Russian doll renormalization group and superconductivity
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.
- Publication:
-
Physical Review B
- Pub Date:
- January 2004
- DOI:
- 10.1103/PhysRevB.69.020505
- arXiv:
- arXiv:cond-mat/0211338
- Bibcode:
- 2004PhRvB..69b0505L
- Keywords:
-
- 74.20.Fg;
- 11.10.Hi;
- 71.10.Li;
- BCS theory and its development;
- Renormalization group evolution of parameters;
- Excited states and pairing interactions in model systems;
- Condensed Matter - Superconductivity;
- Condensed Matter - Strongly Correlated Electrons;
- High Energy Physics - Theory;
- Nuclear Theory
- E-Print:
- 4 pages, 2 figs, RevTex4