Deformation of Fermi Surface Due to Antiferromagnetic Correlation

It is investigated, on the basis of the fluctuation exchange approximation, how the shape of the Fermi surface is modified in two-dimensional $t-t^{\mathrm{\prime }}-U$ Hubbard model at half filling as strength of the onsite Coulomb interaction $U$ is increased. The antiferromagnetic (AF) correlation length is shown to be enhanced as the Coulomb interaction get closer to the critical value $U_{\rm c}$ for the onset AF order. At the same time, the shape of the renormalized Fermi surface is deformed showing the tendency of nesting near $U_{\mathrm{c}}$.