Theory of resonant magneto-polaron in GaAs-GaAlAs heterostructure

Energies of resonant polarons related to interaction of inversion electrons in GaAs with optic phonons in the presence of a magnetic field are calculated and compared with recent cyclotron resonance measurements on a GaAs-GaAlAs heterostructure. The nonparabolocity of the conduction band is accounted for in the triangular potential approximation. The screening of polar interaction is neglected. Using an intensity of the confining electric field as a fitting parameter a very good agreement between the theory and the experiment is obtained.