Anisotropic Fermi surfaces and Kohn-Luttinger superconductivity in two dimensions

Abstract

The instabilities induced on a two-dimensional system of correlated electrons by the anisotropies of its Fermi line are analyzed on general grounds. Simple scaling arguments allow to predict the opening of a superconducting gap with a well-defined symmetry prescribed by the geometry of the Fermi line. The same arguments predict a critical dimension of 3/2 for the transition of the two-dimensional system to non-Fermi liquid behavior. The methods are applied to the t-t' Hubbard model in a wide range of dopings.

25 pages, 13 postscript figures

References in corpus (4)

• Truncation of a 2-dimensional Fermi surface due to quasiparticle gap formation at the saddle points
• Superconducting, ferromagnetic and antiferromagnetic phases in the t-t' Hubbard model
• Instability of Anisotropic Fermi Surfaces in Two Dimensions
• Weak Coupling Phases of the Attractive $t-t^{\prime }$ Hubbard Model at the Van Hove Filling

Cited by in corpus (2)

• Superconductivity in electron-doped cuprates: Gap shape change and symmetry crossover with doping
• Electronic susceptibilities in systems with anisotropic Fermi surfaces