中国物理B ›› 2021, Vol. 30 ›› Issue (11): 110304-110304.doi: 10.1088/1674-1056/abfa0b

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Probability density and oscillating period of magnetopolaron in parabolic quantum dot in the presence of Rashba effect and temperature

Ying-Jie Chen(陈英杰)† and Feng-Lan Shao(邵凤兰)   

  1. School of Physics and Physical Engineering, Qufu Normal University, Qufu 273165, China
  • 收稿日期:2021-02-06 修回日期:2021-04-10 接受日期:2021-04-21 出版日期:2021-10-13 发布日期:2021-10-13
  • 通讯作者: Ying-Jie Chen E-mail:sdchenyingjie@126.com
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No. 11975011).

Probability density and oscillating period of magnetopolaron in parabolic quantum dot in the presence of Rashba effect and temperature

Ying-Jie Chen(陈英杰)† and Feng-Lan Shao(邵凤兰)   

  1. School of Physics and Physical Engineering, Qufu Normal University, Qufu 273165, China
  • Received:2021-02-06 Revised:2021-04-10 Accepted:2021-04-21 Online:2021-10-13 Published:2021-10-13
  • Contact: Ying-Jie Chen E-mail:sdchenyingjie@126.com
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No. 11975011).

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摘要： We study the property of magnetopolaron in a parabolic quantum dot under the Rashba spin-orbit interaction (RSOI) by adopting an unitary transformation of Lee-Low-Pines type and the variational method of Pekar type with and without considering the temperature. The temporal spatial distribution of the probability density and the relationships of the oscillating period with the RSOI constant, confinement constant, electron-phonon coupling strength, phonon wave vector and temperature are discussed. The results show that the probability density of the magnetopolaron in the superposition of the ground and first excited state takes periodic oscillation (T0/period) in the presence or absence of temperature. Because of the RSOI, the oscillating period is divided into different branches. Also, the results indicate that the oscillating period increases (decreases) when the RSOI constant, electron-phonon coupling strength and phonon wave vector (the confinement constant) increase in a proper temperature, and the temperature plays a significant role in determining the properties of the polaron.

关键词: Rashba spin-orbit interaction, quantum dot, polaron, temperature

Abstract: We study the property of magnetopolaron in a parabolic quantum dot under the Rashba spin-orbit interaction (RSOI) by adopting an unitary transformation of Lee-Low-Pines type and the variational method of Pekar type with and without considering the temperature. The temporal spatial distribution of the probability density and the relationships of the oscillating period with the RSOI constant, confinement constant, electron-phonon coupling strength, phonon wave vector and temperature are discussed. The results show that the probability density of the magnetopolaron in the superposition of the ground and first excited state takes periodic oscillation (T0/period) in the presence or absence of temperature. Because of the RSOI, the oscillating period is divided into different branches. Also, the results indicate that the oscillating period increases (decreases) when the RSOI constant, electron-phonon coupling strength and phonon wave vector (the confinement constant) increase in a proper temperature, and the temperature plays a significant role in determining the properties of the polaron.

Key words: Rashba spin-orbit interaction, quantum dot, polaron, temperature

中图分类号:  (Theory of quantized fields)

  • 03.70.+k
71.38.-k (Polarons and electron-phonon interactions) 71.70.Ej (Spin-orbit coupling, Zeeman and Stark splitting, Jahn-Teller effect) 75.10.-b (General theory and models of magnetic ordering)