Formation of quantum magnetization plateaux in mixed-spin Ising chains with single-ion anisotropy

The problem here was undertanding the ground-state magnetization curve for Ising chains with alternating configurations of spins $(S,s)$ and crystal-field anisotropies. Besides including the Molecular Field Theory and DMRG as methods for the study, I developed the Transfer Matrix technique for mixed-spin chains, which had not been explore before.

As a result, I was able to find a similar rule for the number $2s+1$ of magnetization plateaux that are observed in these systems at zero temperature, as in the case of homogeneous spin chains with $S\ge1$ and single-ion anisotropy.