Anisotropy on the Fermi Surface of the Two-Dimensional Hubbard Model

Abstract

We investigate anisotropic charge fluctuations in the two-dimensional Hubbard model at half filling. By the quantum Monte Carlo method, we calculate a momentum-resolved charge compressibility $\kappa (\mathbf{k})=d<n(\mathbf{k})>/d\mu$, which shows effects of an infinitesimal doping. At the temperature $T\sim t^2/U$, $\kappa (\mathbf{k})$ shows peak structure at the $(\pm \pi /2,\pm \pi /2)$ points along the $|k_x|+|k_y|=\pi$ line. A similar peak structure is reproduced in the mean-filed calculation for the d-wave pairing state or the staggered flux state.

5 pages, 3 figures, figures and presentation are modified

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