Distant-neighbors exchange constants in Cd1-xMnxSe from magnetization steps

From magnetization measurements at T=20 mK on two bulk samples of Cd1-xMnxSe (x=0.59% and x=1.15%), four distant-neighbors antiferromagnetic exchange constants have been measured. The results, in order of decreasing strength, after the two J's for nearest-neighbors pairs, are -0.35±0.01 K, -0.20±0.01 K, -0.10±0.01 K, and -0.08±0.01 K. These results confirm the long-range character of the distant-neighbor exchange interactions in the Mn-based II-VI diluted magnetic semiconductors