We solve analytically the NXN square lattice Hubbard model for even N at ha
lf-filling and weak coupling by a new approach. The exact ground-state wave
function provides an intriguing and appealing picture of the antiferromagn
etic order. Like at strong coupling, the ground state has total momentum K-
tot, = (0, 0) and transforms as an s wave for even N/2 and as a d wave othe
rwise. (C) 2001 Elsevier Science Ltd. All rights reserved.