Vibrational frequency of a strong-coupling polaron in a quantum rod at finite temperatures

doi:10.1088/1674-1056/20/9/097104

Abstract The Hamiltonian of a quantum rod with a boundary is presented after a coordinate transformation that changes the original ellipsoidal boundary into a spherical one. We then study the effect of temperature on the vibrational frequency and the ground state binding energy of the strong-coupling polaron in the rod. The two quantities are expressed as functions of the aspect ratio of the ellipsoid, the transverse and the longitudinal effective confinement lengths, the temperature and the electron—phonon coupling strength by linear combination operator and unitary transformation methods. It is found that the vibrational frequency and the ground state binding energy will increase rapidly with decreasing transverse and longitudinal effective confinement lengths. They are increasing functions of the electron—phonon coupling strength but become decreasing ones of the temperature and the aspect ratio.

Keywords: quantum rod polaron temperature effect linear combination operator

Received: 21 October 2010
Revised: 05 June 2011
Accepted manuscript online:

PACS:	71.38.-k	(Polarons and electron-phonon interactions)
	63.20.kd	(Phonon-electron interactions)
	63.22.-m	(Phonons or vibrational states in low-dimensional structures and nanoscale materials)

Cite this article:

Ding Zhao-Hua(丁朝华) and Xiao Jing-Lin(肖景林) Vibrational frequency of a strong-coupling polaron in a quantum rod at finite temperatures 2011 Chin. Phys. B 20 097104

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Vibrational frequency of a strong-coupling polaron in a quantum rod at finite temperatures

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