Renormalization group for 2D fermions with a flat Fermi surface

Details Renormalization group for 2D fermions with a flat Fermi surface Renormalization group for 2D fermions with a flat Fermi surface

2001-07-26

arxiv.org/abs/cond-mat/0107548v2

Phys. Rev. B 65, 94505 (2002)

Physics

Condensed Matter

Strongly Correlated Electrons

34 pages, 28 figures, 8 tables

Scientific paper

10.1103/PhysRevB.65.094505

We present a renormalization group analysis of two-dimensional interacting fermion systems with a closed and partially flat Fermi surface. Numerical solutions of the one-loop flow equations show that for a bare local repulsion, the system evolves through three different regimes as the typical energy is lowered: a high-energy transient with a strong competition between particle-particle and particle-hole channels, an intermediate regime with dominant spin density wave correlations, and finally a ``hot spot'' regime exhibiting d-wave superconductivity. We study, mostly by analytical methods, how this flow pattern depends on the number N of Fermi surface patches used in the numerical solution. This clearly indicates that the final regime requires vanishingly small microscopic interactions, for the one-loop approximation to be valid, as N is going to infinity.

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