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We present simple calculations which show that incommensurability upon dopingand the width of the magnetically ordered phase in Mott-Hubbard insulatorsdepend strongly on the location of the hole/electron pockets in the Brillouinzone. For $LaSrCuO$ systems, we found the pockets at $(\pm \pi/2,\pm \pi/2)$,in which case the corrections to the antiferromagnetic spin stiffness grow withdoping and destroy the commensurate antiferromagnetic ordering already at avery small doping. On the other hand, in $NdCeCuO$, the hole pockets arelocated at $(\pi,0)$ and the symmetry related points, in which case thecorrections to the stiffness scale linearly with the density of carriers and donot destroy commensurate spin ordering. For $YBCuO$, systems the situation isless certain, but our results favor hole pockets at $(\pi/2,\pi/2)$. We alsodiscuss briefly the tendency towards phase separation.Comment: 18 pages, LaTe

journal of physics. condensed matter

On the contrasting spin dynamics of La2-xSrxCuO4, Nd2-xCexCuO4and YBa2Cu3O6+xnear half filling