The spin effect of bound magnetopolaron in an asymmetry quantum well is studied by Pekar variational method. The expression of the ground state energy of bound magnetopolaron is obtained through theoretical derivation. The relationship between the ground state energy of the polaron and the wave vector, the well width, the magnetic field cyclotron resonance frequency, and the Coulomb bound potential are discussed, respectively. Due to the crystal structural inversion asymmetry and the time inversion asymmetry, the polaron energy occurs Rashba spin–orbit splitting and Zeeman splitting. Under the strong and weak magnetic fields, we discussed the dominant position of Rashba effect and Zeeman effect, respectively. Due to the presence of impurities, the polaron is more stable than the bare electron state, and the energy splitting of polaron is more stable.

中文翻译：

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非对称量子阱中束缚的磁极子的自旋效应

用Pekar变分方法研究了束缚的磁极子在非对称量子阱中的自旋效应。通过理论推导得到结合的磁极子的基态能量的表达式。分别讨论了极化子的基态能量与波矢量，阱宽，磁场回旋共振频率和库仑束缚势之间的关系。由于晶体结构的不对称性和时间的不对称性，极化子能量发生在拉什巴自旋轨道分裂和塞曼分裂。在强磁场和弱磁场下，我们分别讨论了拉什巴效应和塞曼效应的主导地位。由于存在杂质，极化子比裸电子态更稳定，