The properties of the first excited state of a magnetopolaron in a patabolic quantum dot (PQD) are studied with the Lee-Low-Pines unitary transformation (LLPUT) and variational method of Pekar-type (VMPT). We find that the external magnetic field and the motion of the electron can trigger the Rashba effect in the first excited state and they play a virtual role in determining properties of the magnetopolaron in the parabolic PQD system. Furthermore, our results indicate the Rashba spin-orbit coupling(RSOC), confined potential, electron-phonon coupling, magnetic field and phonon wave vector promote a variation of the first excited state energy (FESE). In addition, the rule that the first excited state energy changes with one of four factors is not affected by the RSOC.

中文翻译：

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Rashba自旋轨道耦合对抛物量子点中磁极化子第一激发态的影响

用 Lee-Low-Pines 幺正变换 (LLPUT) 和 Pekar 型变分方法 (VMPT) 研究了 patabolic 量子点 (PQD) 中磁极化子的第一激发态的性质。我们发现外部磁场和电子的运动可以在第一激发态触发 Rashba 效应，它们在决定抛物线 PQD 系统中磁极化子的性质方面起着虚拟作用。此外，我们的结果表明，Rashba 自旋轨道耦合 (RSOC)、限制电位、电子-声子耦合、磁场和声子波矢量促进了第一激发态能量 (FESE) 的变化。此外，第一激发态能量随四个因素之一变化的规律不受RSOC的影响。