N. Macris et J. Ruiz, A REMARK ON THE DECAY OF SUPERCONDUCTING CORRELATIONS IN ONE-DIMENSIONAL AND 2-DIMENSIONAL HUBBARD MODELS, Journal of statistical physics, 75(5-6), 1994, pp. 1179-1184
Upper bounds on the decay of various correlation functions are derived
for a general class of itinerant fermion models with long-range hoppi
ng matrix. These bounds extend previous results of Koma and Tasaki and
rule out the possibility of magnetic ordering and condensation of sup
erconducting electron pairs in one and two dimensions for finite tempe
ratures.