Parquet solution for a flat Fermi surface

Details Parquet solution for a flat Fermi surface Parquet solution for a flat Fermi surface

1996-09-13

arxiv.org/abs/cond-mat/9609118v1

Phys. Rev. B 55, 3200 (1997)

Physics

Condensed Matter

REVTeX, 36 pages, 20 ps figures inserted via psfig. Submitted to Phys. Rev. B

Scientific paper

10.1103/PhysRevB.55.3200

We study instabilities occurring in the electron system whose Fermi surface has flat regions on its opposite sides. Such a Fermi surface resembles Fermi surfaces of some high-$T_c$ superconductors. In the framework of the parquet approximation, we classify possible instabilities and derive renormalization-group equations that determine the evolution of corresponding susceptibilities with decreasing temperature. Numerical solutions of the parquet equations are found to be in qualitative agreement with a ladder approximation. For the repulsive Hubbard interaction, the antiferromagnetic (spin-density-wave) instability dominates, but when the Fermi surface is not perfectly flat, the $d$-wave superconducting instability takes over.

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