Rashba效应和Zeeman效应对各向异性量子点中束缚磁极化子性质的影响

Influence of Rashba effect and Zeeman effect on properties of bound magnetopolaron in an anisotropic quantum dot

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.通过理论推导,得到束缚磁极化子基态能量的表达式.讨论了极化子基态能量与横向有效受限长度、纵向有效受限长度、磁场回旋共振频率、库仑束缚势的关系.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.由于声子和杂质的存在,极化子比裸电子态更稳定.

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.