Origin of spin incommensurability in hole-doped $S=1\mathrm{}{\mathrm{}\mathrm{Y}}_{2-x}{\mathrm{Ca}}_x{\mathrm{BaNiO}}_5$ chains

Spin incommensurability (IC) has been recently experimentally discovered in the hole-doped Ni-oxide chain compound ${\mathrm{Y}}_{2-x}{\mathrm{Ca}}_x{\mathrm{BaNiO}}_5$ [G. Xu et al., Science 289, 419 (2000)]. Here a two orbital model for this material is studied using computational techniques. Spin IC is observed in a wide range of densities and couplings. The phenomenon originates in antiferromagnetic correlations “across holes” dynamically generated to improve hole movement, as it occurs in the one-dimensional Hubbard model and in recent studies of the two-dimensional extended $t-J$ model. The close proximity of ferromagnetic and phase-separated states in parameter space is also discussed.