We study the zero-temperature magnetization process (M-H curve) of
one-dimensional quantum antiferromagnets using a variant of the density-matrix
renormalization group method. For both the S=1/2 zig-zag spin ladder and the
S=1 bilinear-biquadratic chain, we find clear cusp-type singularities in the
middle-field region of the M-H curve. These singularities are successfully
explained in terms of the double-minimum shape of the energy dispersion of the
low-lying excitations. For the S=1/2 zig-zag spin ladder, we find that the cusp
formation accompanies the Fermi-liquid to non-Fermi-liquid transition.Comment: 4 pages, RevTeX, 3 figures, some mistakes in references are correcte