Vibrational frequency of strong-coupling magnetopolaron

J4 ›› 2010, Vol. 27 ›› Issue (3): 361-366.

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Vibrational frequency of strong-coupling magnetopolaron

BA Yan-yan, XIAO Jing-lin

College of Physics and Electronic Information, Inner Mongolia National University, Tongliao 028043, China

Received:2009-05-06 Revised:2009-05-06 Published:2010-05-28 Online:2010-05-11

Abstract

Abstract:

The Hamiltonian of a quantum rods with an ellipsoidal boundary is given after a coordinate transformation which can transform the boundary into a spherical one. The properties of strong-coupling magnetopolaron in a quantum rods in a three-dimensional anisotropic harmonic potential are studied by using the linear combination operator and the unitary transformation methods. The relations of the vibrational frequency and the mean number of phonons of strong-coupling magnetopolaron in a quantum rods with the cyclotron frequency of a magnetic field ，the electron-phonon coupling strength, the aspect ratio of the ellipsoid and the transverse and the longitudinal effective confinement length were derived. Numerical calculations are performed and the results show that the vibrational frequency and the mean number of phonons will increase with increasing the electron-phonon coupling strength and the cyclotron frequency of a magnetic field and increase rapidly with decreasing transverse and the longitudinal effective confinement length. The vibrational frequency and the mean number of phonons are increasing functions of theaspect ratio of the ellipsoid when , whereas they are decreasing functions of one when .When , the vibrational frequency and the mean number of phonons are a minimum value.

Key words: optoelectronics∣quantum rods∣magnetopolaron∣linear combination operator∣aspect ratio

BA Yan-yan, XIAO Jing-lin. Vibrational frequency of strong-coupling magnetopolaron[J]. J4, 2010, 27(3): 361-366.

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Vibrational frequency of strong-coupling magnetopolaron

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