Effects of Spatial Dispersion on the Cyclotron Absorption in Bismuth

Abstract

The nonlocal magneto-conductivity tensor of an ellipsoidal Fermi surface in Voigt configuration is calculated. The components of it can be written as linear combinations of the components of the slightly modified nonlocal magneto-conductivity tensor of a spherical Fermi surface. Using these results, cyclotron absorption spectra of Bi are numerically calculated and compared with the experimental results obtained by Smith et al. It is found that almost all the structures which cannot be understandable by the local theory can be attributed to the harmonics of the cyclotron resonances of holes and electrons induced by the spatial dispersion.