Interacting Fermi liquid in two dimensions at finite temperature: Part II: Renormalization

Details Interacting Fermi liquid in two dimensions at finite temperature: Part II: Renormalization Interacting Fermi liquid in two dimensions at finite temperature: Part II: Renormalization

1999-07-08

arxiv.org/abs/cond-mat/9907131v4

Commun.Math.Phys. 215 (2000) 291-341

Physics

Condensed Matter

Superconductivity

62 pages, 20 figures, a new Appendix to prove uniform bounds on the selfenergy derivatives

Scientific paper

10.1007/s002200000301

This is a companion paper to cond-mat/9907130. Using the method of continuous renormalization group around the Fermi surface and the results of cond-mat/9907130, we achieve the proof that a two-dimensional jellium interacting system of Fermions at low temperature T is a Fermi liquid (analytic in the coupling constant g) for g < const./|log T| and satisfying uniform bounds on the first and second derivatives of the selfenergy. This proves that in two dimensions the transition temperature (if any) must be non-perturbative, and is a step in the program of rigorous study of the BCS phase transition using methods of constructive field theory.

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