Magnetoreflectance at the band edge inCd1−xMnxSe

Abstract

Magnetoreflectance measurements of excitonic interband transitions are used to study the exchange interaction between band electrons and Mn ions in ${\mathrm{Cd}}_{1-x}{\mathrm{Mn}}_x\mathrm{Se}$ ($x=0.10\mathrm{} \mathrm{and} 0.30$) at 1.5 K and over an applied magnetic field range of 0-15 T. By combining optical data with direct magnetization measurements performed on the $x=0.10\mathrm{}$ sample, the difference between the conduction-and valence-band exchange constants, $N_0(\alpha -\beta )$, is found to have a value of 1.37±0.07 eV. Given from previous work that $N_0\alpha =0.26\mathrm{}\pm 0.01$ eV, a value of -1.11±0.07 eV is obtained for the valence-band exchange constant $N_0\beta$. Additionally, the detailed behavior of the conduction-band and $A$, $B$, and $C$ valence-band splittings with applied magnetic field is calculated from theory and shown consistent with measured results. In the case of $A$ excitons, the calculations are in close quantitative agreement with measurements; for $B$ excitons, the agreement is only qualitative.