摘要
研究半无限晶体中表面极化子的特性． 采用Ｌ． Ｌ． Ｐ方法导出了表面极化子的有效哈密顿量、有效质量和声子之间相互作用的能量，
In the early 1970's, Ibach made the low energy electron diffracting experimentation on the surface of semiconductor ZnO etc.. The suface polaron in the crystals was of considerable interest. Sak, Evans and Mills studied theoretically the surface polaron in polar crystals for the first time. Evans et al. investigated the effect of bulk LO phonon on the surface polaron. Gu et al. discussed the strong, weak and intermediate coupling surface polaron in semi infinite crystals. The properties of the surface polaron has been calculated by many methods. In fact, so far research of the surface polaron only was restricted to the approximation and calculation where the interaction between phonons of different wave vectors in the recoil process was neglected. The properties of the surface polaron, which considers the corresponding interaction, have been discussed using the perturbation method by the present authors and co workers. In this paper, the characteristic of the surface polaron in semi infinite crystals is studied. The effective Hamiltonian, the effective mass and energy of interaction between phonons of the surface polaron in semi infinite crystals are derived using L. L. P method. The influences of the interaction between phonons of different wave vector in the surface polaron are discussed. The Hamiltonian of the electron phonon system can be written as (1a). For motion parallel to the x y plane, we introduce unitary transformation U 1 and U 2. The ground state wave function of the system is ｜ ψ〉=φ(ρ) 〉｜0〉 . According to L.L.P method, we introduce (5). After some elementary calculation, the effective Hamiltonian of the surface ploaron in a plane parallel to the surface (9a), the effective mass of the surface polaron (10), the energy of interaction between phonons (11a) and the ratio of energy of interaction between phonons and the energy of the surface polaron in x y plane (12) are obtained. The properties of these quantities are discussed.
出处
《发光学报》
EI
CAS
CSCD
北大核心
1999年第3期200-206,共7页
Chinese Journal of Luminescence
基金
内蒙古高校自然科学基金
