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

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

中国物理B ›› 2011, Vol. 20 ›› Issue (9): 97104-097104.doi: 10.1088/1674-1056/20/9/097104

• CONDENSED MATTER: ELECTRONIC STRUCTURE, ELECTRICAL, MAGNETIC, AND OPTICAL PROPERTIES • 上一篇下一篇

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

丁朝华, 肖景林

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

收稿日期:2010-10-21 修回日期:2011-06-05 出版日期:2011-09-15 发布日期:2011-09-15

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

Ding Zhao-Hua(丁朝华) and Xiao Jing-Lin(肖景林)^†

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

Received:2010-10-21 Revised:2011-06-05 Online:2011-09-15 Published:2011-09-15

摘要/Abstract

摘要： 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.

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.

Key words: quantum rod, polaron, temperature effect, linear combination operator

中图分类号: (Polarons and electron-phonon interactions)

71.38.-k

63.20.kd (Phonon-electron interactions) 63.22.-m (Phonons or vibrational states in low-dimensional structures and nanoscale materials)

丁朝华, 肖景林. Vibrational frequency of a strong-coupling polaron in a quantum rod at finite temperatures[J]. 中国物理B, 2011, 20(9): 97104-097104.

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[J]. Chin. Phys. B, 2011, 20(9): 97104-097104.

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

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

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