【摘要】 考虑电子与体纵光学声子相互作用时,采用LLP变分方法,研究柱形量子线中极化子性质,导出了柱形量子线中极化子光学声子平均数随量子线截面半径和电子-LO声子耦合强度的变化关系。结果表明柱形量子线中极化子的光学声子平均数随量子线截面半径减小而减小,随电子-LO声子耦合强度增强而增加。更多还原

【Abstract】 Since Esaki and Tsu composed semiconductor superlattice,the special properties of electron in superlattice and heterostructure have been investigated by many persons.Especially for cylindrical quantum wire,a lot of works have been done.The Hamiltonian for the electron-LO phonons interaction in cylindrical QW has been derived by Constantinou and Ridley following the calculation of continuum model.Using variational method,Zhou studied the size dependence of the ground state energy,excited energy and cyclotron(resonance) frequency of magnetopolaron in cylindrical QW.Considering the interaction of electron-SO phonons,Buonocore investigated the self-energy of polaron by using the transformation and the variational methods and also studied the ground state and the first excited state self-energy of magnetopolaron.Employing LLP mediate coupling method,Sheng investigated the self-energy and effective mass of polaron in which the interactions of electron-LO phonons have been taken into account.Hua studied the self-energy and effective mass of polaron by using LLP transformation and also using the variational methods,he investigated the relation between the ground state energy,the electron-SO phonons interact energy of excited state and cyclotron resonance frequency of magnetopolaron.Employing LLP variational approach and perturbation method,Xie studied the polaron effect in a freestanding quantum wire.Considering the interaction of electron-LO phonon,Ding studied the systematic ground state energy and the interact energy of electron-LO phonon. In this paper,the size dependence of the mean number of optical phonons of polaron in cylindrical quantum wire was investigated by using the LLP variational approach and taking into consideration of the electron-bulk LO phonon coupling.Numerical calculations are performed.The result illustrates that the mean number of bulk LO phonons of polaron N will decrease with the decreasing R(the radiu of cylindrical quantum wire’s cross section) and it will increase with increasing coupling strength.The coupling strength will increase with decreasing R.更多还原