Abstract:

Cyclotron resonance is one of the most important experimental measurement methods in the field of semiconductors. It can determine the effective mass near the conduction band bottom or the valence band top of semiconductor materials，and then determine the band structure near the extreme point of the band. However，in the traditional solid physics and semiconductor physics textbooks，when one discusses the relationship between the cyclotron resonance effective mass and the effective mass，semi-classical physical images are often used，and one assumes the electrons moved along helical line under the action of Lorentz force. The relationship between the cyclotron resonance effective mass and the effective mass is derived from the cyclotron frequency that is obtained from equations based on the classical Newton’s law. In this paper，a method for deriving the cyclotron resonance effective mass using quantum theory is provided，and the wave functions corresponding to each Landau energy level is obtained where appropriately the magneto-optical properties of the semiconductor can be estimated accordingly.

Key words: cyclotron resonance, effective mass, quantum theory