中国物理B ›› 2001, Vol. 10 ›› Issue (5): 437-442.doi: 10.1088/1009-1963/10/5/315

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

VARIATIONAL CALCULATION ON GROUND-STATE ENERGY OF BOUND POLARONS IN PARABOLIC QUANTUM WIRES

汪壮兵, 吴福理, 陈庆虎, 焦正宽   

  1. Department of Physics, Zhejiang University, Hangzhou 310027, China
  • 收稿日期:2000-10-08 修回日期:2001-01-14 出版日期:2005-06-12 发布日期:2005-06-12
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No. 19804009).

VARIATIONAL CALCULATION ON GROUND-STATE ENERGY OF BOUND POLARONS IN PARABOLIC QUANTUM WIRES

Wang Zhuang-bing (汪壮兵), Wu Fu-li (吴福理), Chen Qing-hu (陈庆虎), Jiao Zheng-kuan (焦正宽)   

  1. Department of Physics, Zhejiang University, Hangzhou 310027, China
  • Received:2000-10-08 Revised:2001-01-14 Online:2005-06-12 Published:2005-06-12
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No. 19804009).

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摘要： Within the framework of Feynman path-integral variational theory, we calculate the ground-state energy of a polaron in parabolic quantum wires in the presence of a Coulomb potential. It is shown that the polaronic correction to the ground-state energy is more sensitive to the electron－phonon coupling constant than the Coulomb binding parameter, and it increases monotonically with decreasing effective wire radius. Moreover, compared to the results obtained by Feynman Haken variational path-integral theory, we obtain better results within the Feynman path-integral variational approach (FV approach). Applying our calculation to several polar semiconductor quantum wires, we find that the polaronic correction can be considerably large.

Abstract: Within the framework of Feynman path-integral variational theory, we calculate the ground-state energy of a polaron in parabolic quantum wires in the presence of a Coulomb potential. It is shown that the polaronic correction to the ground-state energy is more sensitive to the electron－phonon coupling constant than the Coulomb binding parameter, and it increases monotonically with decreasing effective wire radius. Moreover, compared to the results obtained by Feynman Haken variational path-integral theory, we obtain better results within the Feynman path-integral variational approach (FV approach). Applying our calculation to several polar semiconductor quantum wires, we find that the polaronic correction can be considerably large.

Key words: polaron, path integral, quantum wire

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

  • 71.38.-k
73.21.Hb (Quantum wires) 02.30.Xx (Calculus of variations)