Effect of the Mn-Mn exchange interaction on the high-field magnetoresistance and magnetization in n-type ${\mathrm{Hg}}_{1\mathrm{-}\mathrm{x}\mathrm{-}\mathrm{y}}$${\mathrm{Cd}}_{\mathrm{x}}$${\mathrm{Mn}}_{\mathrm{y}}$Te

The magnetoresistance and the magnetization in n-type semimagnetic semiconductors ${\mathrm{Hg}}_{1\mathrm{-}\mathrm{x}\mathrm{-}\mathrm{y}}$ ${\mathrm{Cd}}_{\mathrm{x}}$ ${\mathrm{Mn}}_{\mathrm{y}}$Te (with x=0.027–0.214, y=0.009–0.023) have been measured in pulsed high magnetic fields up to 35 T. The magnetoresistance versus magnetic field curve displayed an anomaly at H=15–20 T, depending on the Mn composition. At the same magnetic field, a steplike anomaly was also observed in the magnetization. Both of these phenomena are attributed to the magnetic-field-induced alignment of the antiferromagnetically coupled nearest-neighbor ${\mathrm{Mn}}^{2+}$ ion pairs. The exchange constant J between ions in the pair was found to depend on the energy gap, varying in the range from -9.4 to -12.8 K.