High-resolution magneto-optical studies of free and bound holes inp-type InSb

Abstract

High-resolution magneto-optical experiments on $p$-type InSb have been performed over a wide range of temperatures and photon energies for the sample orientations $\overrightarrow{\mathrm{B}}\parallel 〈111〉$ and $\overrightarrow{\mathrm{B}}\parallel 〈100〉$. The spectra obtained at temperatures greater than ∼20 K result from combined-resonance transitions of free holes between heavy- and light-hole Landau levels, while bound-hole transitions between ground heavy-hole-like and excited light-hole-like acceptor states are observed at lower temperatures. The high resolution of the low-temperature spectra has allowed observation of bound-hole transitions originating from heavy-hole-like ground states to final excited acceptor states associated with light-hole Landau levels with quantum numbers $n=-1\mathrm{} \mathrm{to} 27$. Polarization and Hall-coefficient measurements have confirmed the origin of both the bound- and free-hole spectra. Analysis of the high-temperature free-hole combined-resonance data along with extensive intra-conduction-band and two-photon interband data using a modified Pidgeon and Brown 8×8 band model has allowed the determination of a single set of band parameters for InSb that quantitatively describes these different sets of data. In addition, a ground-state binding energy of 8.1±0.3 meV for Cd acceptors has been extracted from analysis of the bound-hole spectra. The energy-band parameters determined from this work are $E_g=0.2352\mathrm{}$ eV, $E_p=23.2\mathrm{}$ eV, $\Delta =0.803\mathrm{}$ eV, ${\gamma }_1=3.25\mathrm{}$, ${\gamma }_2=-0.2\mathrm{}$, ${\gamma }_3=0.9\mathrm{}$, $\kappa =-1.3\mathrm{}$, $F=-0.2\mathrm{}$, $q=0.0\mathrm{}$, and $N_1=-0.55\mathrm{}$.