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.
(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
[1]
Hu J T, Li L S, Yang W D , Manna L, Wang L W and Alvisatos A P 2001 Science 292 2060
[2]
Kan S H, Mokari T, Rothenberg E, Rothenberg E and Banin U 2003 Nature 2 155
[3]
Bruchez M, Moronne M, Gin P, Weiss S and Alivisatos S P 1998 Science 281 2013
[4]
Chi W, Chan W and Nie S 1998 Science 281 2016
[5]
Klimov V I, Mikhailovsky A A, Xu S, Malko A, Hollingsworth J A, Leatherdale C A, Eisler H J and Bawendi M G 2000 Science 290 314
[6]
Sek G, Podemski P, Misiewicz J, Li L H, Fiore A and Patriarche G 2008 Appl. Phys. Lett. 92 021901
[7]
Persano A, Leo G, Manna L and Cola A 2008 J. Appl. Phys. 104 074306
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