Cj. Halboth et W. Metzner, FERMI-SURFACE OF THE 2D HUBBARD-MODEL AT WEAK-COUPLING, Zeitschrift fur Physik. B, Condensed matter, 102(4), 1997, pp. 501-504
We calculate the interaction-induced deformation of the Fermi surface
in the two-dimensional Hubbard model within second order perturbation
theory. Close to half-filling, interactions enhance anisotropies of th
e Fermi surface, but they never modify the topology of the Fermi surfa
ce in the weak coupling regime.