Stimulated Raman scattering from free holes inp-type indium antimonide

Stimulated Raman scattering from photoexcited holes at magnetic fields up to 68 kG in $p-\mathrm{I}\mathrm{n}\mathrm{S}\mathrm{b}$ is described. Experiments varying excitation wavelength, magnetic field, polarization, and sample orientation are discussed. A comparison of the experimental results with the latest valence-band calculations allows the identification of the energy levels involved in the scattering process. For sample orientation $\overrightarrow{\mathrm{H}}\parallel 〈100〉$, the initial state is the valence-band Landau level ALH $1_0$ $1^{+}$31 and the final state is BHH $3_1$ $3^{-}$31. ALH, BLH are the "light hole" ladders (approximate spin $M=+\frac{3}{2}$ and $M=-\frac{3}{2}$, respectively). AHH, BHH are the "heavy hole" ladders (approximate spin $M=-\frac{1}{2}$ and $M=+\frac{1}{2}$, respectively). For the orientation $\overrightarrow{\mathrm{H}}\parallel 〈111〉$ initial state and final state are BLH $0_0$ $0^{+}$ and AHH $3_2$ ${\mathrm{O}}^{+}$, respectively. The holes involved in this Raman scattering process always have a nonzero momentum along the direction of the magnetic field ($k_H\ne 0$). The largest Raman shift we measured was about 2.7 ${\mathrm{cm}}^{-1\mathrm{}}$.