Magnetization ofZn0.95Mn0.05Te in magnetic fields up to 42 T

The magnetization versus magnetic field in ${\mathrm{Zn}}_{0.95}$ ${\mathrm{Mn}}_{0.05}$Te has been measured at 1.6 K in a pulsed high magnetic field up to 42 T. The first, second, and the beginning of the third magnetization step corresponding to the nearest-neighbor (NN) manganese-ion-pair magnetization are observed. The analysis of the data in the framework of a generalized cluster model leads to three main results: (i) the exchange constant between NN Mn ions is J/$k_B$=-8.8±0.1 K; (ii) the contribution of three Mn ion clusters becomes non-negligible for magnetic fields higher than 20 T; (iii) the results support a random distribution of Mn ions.