Interplay of Pomeranchuk instability and superconductivity in the two-dimensional repulsive Hubbard model

Abstract

Interplay of Pomeranchuk instability (spontaneous symmetry breaking of the Fermi surface) and d-wave superconductivity is studied for the repulsive Hubbard model on the square lattice with the dynamical mean field theory combined with the fluctuation exchange approximation (FLEX+DMFT). We show that the four-fold symmetric Fermi surface becomes unstable against a spontaneous distortion into two-fold near the van Hove filling, where the symmetry of superconductivity coexisting with the Pomeranchuk distorted Fermi surface is modified from the d-wave pairing to (d+s)-wave. By systematically shifting the position of van Hove filling with varied second- and third-neighbor hoppings, we find that the transition temperature $T_{\mathrm{c}}^{\mathrm{PI}}$ of Pomeranchuk instability is more sensitively affected by the position of van Hove filling than the superconducting $T_{\mathrm{c}}^{\mathrm{SC}}$. This implies that the filling region for strong Pomeranchuk instability and that for strong superconducting fluctuations can be separated, and Pomeranchuk instability can appear even if the peak of $T_c^{\mathrm{PI}}$ is lower than the peak of $T_c^{\mathrm{SC}}$. An interesting observation is that the Fermi surface distortion can enhance the superconducting $T_{\mathrm{c}}^{\mathrm{SC}}$ in the overdoped regime, which is explained with a perturbation picture for small distortions.

arXiv comment8 pages, 5 figures

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