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Magnetopolarons in quasi-one-dimensional quantum-well wires

The interaction of quasi-one-dimensional electrons and longitudinal optical (LO) phonons placed in a perpendicular magnetic field is calculated. Results are presented for the polaron correction to the Landau levels (N) and the polaron cyclotron mass. It is shown that under the condition omega L>N Omega (where omega L is the LO phonon frequency, and Omega is the frequency of the parabolic confinement potential) level crossing occurs, resulting in a resonant magnetopolaron in the vicinity of the cyclotron frequency omega C=(( omega L/N)2- Omega 2)12/. The polaron cyclotron mass increases in the vicinity of this omega C. It is shown that in a cyclotron resonance experiment it is only possible to measure the polaron cyclotron mass if the cyclotron frequency is larger than a critical frequency, determined by the confinement potential.