Kinematics of electrons near a Van Hove singularity

Details Kinematics of electrons near a Van Hove singularity Kinematics of electrons near a Van Hove singularity

1999-05-12

arxiv.org/abs/cond-mat/9905166v1

Physics

Condensed Matter

Strongly Correlated Electrons

5 pages, 3 postscript figures

Scientific paper

10.1103/PhysRevLett.84.4930

A two dimensional electronic system, where the Fermi surface is close to a Van Hove singularity, shows a variety of weak coupling instabilities, and it is a convenient model to study the interplay between antiferromagnetism and anisotropic superconductivity. We present a detailed analysis of the kinematics of the electron scattering in this model. The similitudes, and differences, between a standard Renormalization Group approach and previous work based on parquet summations of log$^2$ divergences are analyzed, with emphasis on the underlying physical processes. General properties of the phase diagram are discussed.

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