Interacting Fermi Liquid in Two Dimensions at Finite Temperature. Part II: Renormalization
Abstract
This is a companion paper to [DR1]. Using the method of continuous renormalization group around the Fermi surface and the results of [DR1], we achieve the proof that a two-dimensional jellium system of interacting Fermions at low temperature T is a Fermi liquid above the BCS temperature. Following [S], this means proving analyticity in the coupling constant λ for , where K is some numerical constant, and some uniform bounds on the derivatives of the self-energy.
- Publication:
-
Communications in Mathematical Physics
- Pub Date:
- December 2000
- DOI:
- arXiv:
- arXiv:cond-mat/9907131
- Bibcode:
- 2000CMaPh.215..291D
- Keywords:
-
- Renormalization Group;
- Fermi Surface;
- Companion Paper;
- Finite Temperature;
- Fermi Liquid;
- Condensed Matter - Superconductivity;
- Mathematical Physics
- E-Print:
- 62 pages, 20 figures, a new Appendix to prove uniform bounds on the selfenergy derivatives