Effective Mass and Spin Splitting inHg1−xCdxTe

Abstract

Shubnikov-de Haas measurements have been performed on single-crystal $n$-type ${\mathrm{Hg}}_{1-x}{\mathrm{Cd}}_x\mathrm{Te} (x=0.\mathrm{}204)$ alloys with carrier concentration from 2 × ${10}^{15}$ to 1 × ${10}^{16}$ ${\mathrm{cm}}^{-3\mathrm{}}$. Comparison of the electron effective mass as a function of Fermi energy with $\overrightarrow{\mathrm{k}}·\overrightarrow{\mathrm{p}}$ theory yields the following band parameters: band-edge mass $m_0^{*}=5.\mathrm{}60\pm 0.25\times {10}^{-3\mathrm{}}{m}_0$, interband matrix element $E_p=17\mathrm{}\pm 1.4$ eV, and direct energy gap (at $k=0\mathrm{}$) $E_g=0.\mathrm{}0635\pm 0.008$ eV. We also observed spin splitting of the $N=1,2,\mathrm{and} 3$ Landau levels, from which the electron $g$ factor was determined as a function of energy between 8 and 23 meV from the conduction band edge, with $g=164\mathrm{}\pm 16$ at the band edge.