Theory of Cyclotron Resonance in Si,Ge,Zn and Cd

A quantum theory is developed for the cyclotron resonance (CR) in Si and Ge by introducing the concept of the Cyclotronic Planes (CP) in which the conduction electrons (``electrons'',``holes'') complete circulations. The angular dependent CR peaks for heavy ``holes'' are analyzed, using the Dresselhaus-Kip-Kittel (DKK) formula: $\omega=(\omega_{t}^{2}cos^2\theta + \omega_{t}\omega_{l}sin^2 \theta)$, $\omega_{t}\equiv eB/m_{t}$, $\omega_{l}\equiv eB/m_ {l}$.The Fermi surfaces for Si(Ge) are spheroids oriented along $\left\langle 100\right\rangle$ axes with the transverse mass $m_{t}=0.46(0.29)m$ and the longitudinal mass $m_{l}=1.03(0.78) m$.The fluted energy surfaces used by DKK were avoided.The angular-independent CR peaks for light ``holes'' in Ge(Si) arise from the spherical Fermi surface with the effective mass $m_{l} =1.03(0.78)m$ with the CP $\left\{100\right\}$. The reason why there are light and heavy ``holes'' with the same CP in $\left\{100\right\}$ is explained by decomposing the fcc lattice in two sets of sublattices. The theory is extended to treat the CR peaks in Zn and Cd, both hexagonal-close-packed metals.