We study a Heisenberg chain with nearest-neighbor (NN) J(1) and next-NN J(2
) exchange interactions with anisotropies Delta (1) and Delta (2), respecti
vely. We investigate by analytical and numerical methods the region of para
meters for which there is a jump in the magnetization, M, as a function of
magnetic field B. Some materials with edge sharing CuO polyhedra are candid
ates to show an abrupt change in M(B). (C) 2001 Published by Elsevier Scien
ce B.V.