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Parquet solution for a flat Fermi surface

Anatoley T. Zheleznyak·Victor M. Yakovenko·Igor E. Dzyaloshinskii
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Abstract

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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Anatoley T. Zheleznyak, Victor M. Yakovenko, Igor E. Dzyaloshinskii. 1996-09-13. Parquet solution for a flat Fermi surface. https://doi.org/10.1103/physrevb.55.3200

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