By using the magneto-optical and transmission-ellipsometric methods, giant anisotropy in both optical and magneto-optical properties was found for the singl crystal Cd
1-xMn
xTe (x=0.45). Two orthogonal axes, E
⊥ and E
|| were in the (113) plane, and along the [-47-1] and [21-1] directions, respectively. Both transmission-ellipsometric and magneto-optic Faraday rotation spectra located peaks at the same about 2-eV E
Mn position, that was in the gap between the conduction and valence bands. In discussion, E
Mn was attributed to the optical transition of Te p → Mn d
↓, and several possible mechanisms for the anisotropy phenomena were suggested and studied. A general and analytical equation was given to calculate the anomalous anisotropy of the Faraday effect, showing good agreement with experimental results. The equation can be used to explain other magneto-optical anisotropic properties of the system.
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