Anisotropic Fermi surfaces and Kohn-Luttinger superconductivity in two dimensions

Details Anisotropic Fermi surfaces and Kohn-Luttinger superconductivity in two dimensions Anisotropic Fermi surfaces and Kohn-Luttinger superconductivity in two dimensions

2000-01-27

arxiv.org/abs/cond-mat/0001399v1

Int. J. Mod. Phys. B13 (1999) 2545-2572

Physics

Condensed Matter

Strongly Correlated Electrons

25 pages, 13 postscript figures

Scientific paper

10.1142/S0217979299002526

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.

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