Abstract
The influence of Rashba effect and Zeeman effect on the properties of bound magnetopolaron in an anisotropic quantum dot are studied with Pekar variational method. The expression of the ground state energy of the bound magnetopolaron is obtained through theoretical derivation. The relationship of the ground state energy of the polaron with the transverse effective confinement length, the longitudinal effective confinement length, the magnetic field cyclotron resonance frequency, and the Coulomb bound potential are discussed, respectively. Owing to the crystal structural inversion asymmetry and the time inversion asymmetry, the polaron energy experiences Rashba spin-orbit splitting and Zeeman splitting. Under the strong and weak magnetic field, we discuss the dominant position of Zeeman effect and Rashba effect, respectively. Owing to the presence of phonons and impurities, the polaron is more stable than the bare electron state.
Highlights
Zeeman effect on the properties of bound magnetopolaron in an anisotropic quantum dot are studied with Pekar variational method
The expression of the ground state energy of the bound magnetopolaron is obtained through theoretical derivation
we discuss the dominant position of Zeeman effect
Summary
采用 Pekar 变分法和幺正变换相结合的方法研究了各向异性量子点中束缚磁极化子的 Rashba 效应和 Zeeman 效应. 由于晶体结构反演非对称性和时间反演 非对称性, 极化子能量发生 Rashba 自旋轨道分裂和 Zeeman 分裂. 在强、弱磁场下, 分别讨论了 Zeeman 效应 和 Rashba 效应在能量分裂中所占的主导地位. 因此, Rashba 自旋轨 道相互作用引起的分裂并不是一个简单的分裂, 有 时会掺杂 Zeeman 分裂. 建立空 间直角坐标系 o-xyz, 使 oz 轴位于量子点的中心轴 上, 假设电子在 z 方向和 x-y 平面上受到不同抛
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