Cyclotron Resonance of Magnetopolaron in Cylindrical Quantum Wires with Arbitrary Magnetic Fields11The project supported by National Natural Science Foundation of China under grant No. 69188006, the National Education Committee of China and the Laboratory of Excited State Process, Changchun Institute of Physics, Academia Sinica, China.

Abstract

By solving the effective mass equation with the variational method, we studied the cyclotron resonance of magnetopolaron in cylindrical quantum wires with arbitrary magnetic fields. The interaction of the electron with surface-optical (SO) phonons is used. Having calculated the ground state energy and the excited state energy of the magnetopolaron, we obtain the cyclotron resonance frequency of the magnetopolaron. The effect of the electron-SO phonon interaction decreases the cyclotron resonance frequency. Furthermore, with the increasing strength of magnetic fields, the cyclotron resonance frequency of the magnetopolaron for increases (decreases) monotonously. When the confinement energy is much less than the Landau quantization energy, our results tend to the bulk case correctly. For the same magnetic field strength, our results show that, the larger the confinement length of the quantum wire is, the smaller the absolute value of the electron-SO phonon interaction energy and the cyclotron resonance frequency are.