Cyclotron resonance features in a three-dimensional topological insulators

The specific features of the cyclotron resonance in topological insulators of the Bi$_{2}$Te$_{3}$ family are analyzed. The energy spectrum of electron excitation on the surface of these compounds in a magnetic field has the $C_{3V}$ symmetry. With the use of quasiclassical equations of motion, which take into account the Berry curvature and magnetic moment, it is found that the cyclotron frequency spectrum contains additional harmonics due to spectrum anisotropy. An analysis of these harmonics makes it possible to reveal the contribution from the topological characteristics to the observables.