Interband Magneto-Absorption and Faraday Rotation in InSb

Direct interband magneto-optical transitions have been observed in pure $n$-type InSb at liquid-helium temperature using magnetic fields up to 96.5 kG. The theory of the magnetic levels in the valence and conduction bands at the zone center is carried out using a modification of the method of Luttinger and Kohn. The interaction between conduction and valence bands has been treated exactly, and the effect of higher bands to order $k^2$. Selection rules have been evaluated for both allowed ($\Delta n=0, -2\mathrm{}$) and warping-induced ($\Delta n=2, \pm 4, -6\mathrm{}$) direct valence-to-conduction-band transitions. Comparison of theoretical with experimental spectra (using circular and plane-polarized light in the Faraday and Voigt configurations, respectively) has shown good agreement for the magnetic field in the [110] and [100] crystal directions. The following band parameters are obtained: conduction-band effective mass $m_{\mathrm{c}}=0.0145\mathrm{}{m}_0$: light-hole effective mass $m_{l.\mathrm{}\mathrm{h}.\mathrm{}}=0.0160\mathrm{}{m}_0$; heavy-hole effective masses $m_{\mathrm{h}.\mathrm{h}.\mathrm{}}\mathrm{}\left[100\right]=0.32\mathrm{}{m}_0$, $m_{\mathrm{h}.\mathrm{h}.\mathrm{}}\mathrm{}\left[110\right]=0.42\mathrm{}{m}_0$, $m_{\mathrm{h}.\mathrm{h}.\mathrm{}}\mathrm{}\left[111\right]=0.44\mathrm{}{m}_0$.