非对称量子点中磁极化子性质的磁场和温度依赖性

采用Tokuda线性组合算符法和Lee-Low-Pines变换法，研究了温度和磁场对非对称抛物量子点中强耦合磁极化子性质的影响，简捷地得到了作为量子点的横向受限强度ω₁、纵向受限强度ω₂、电子-声子耦合强度α、外磁场的回旋频率ω_c和温度参数γ的函数的磁极化子的振动频率λ、基态能量E₀和有效质量m 关键词： 非对称量子点 强耦合磁极化子 磁场和温度依赖性

Magnetic field and temperature dependence of the properties of the magnetopolaron in an asymmetric quantum dot

The influence of the magnetic field and temperature on the properties of the strong-coupling magnetopolaron in an asymmetric quantum dot is studied by using the Tokuda’s linear-combination operator and the Lee-Low-Pines variational method. The expressions for the vibration frequency λ, ground state energy E₀ and the effective mass m^* of the magnetopolaron as a function of the transverse effective confinement strength ω₁, the longitudinal effective confinement strength ω₂, the electron-phonon coupling strength α, the cyclotron frequency ω_c and the temperature parameter γ are derived. Numerical results indicate that λ and m^* of the magnetopolaron will increase with increasing ω₁,ω₂,ω_c and α, and will decrease with increasing temperature T. The value of E₀ changing with ω₁,ω₂,ω_c,α and γ are srongly related to the propties of the state of the magnetopolaron. The signs of positeve and negative E₀ relate not only to the value of ω₁,ω₂,ω_c and α but also to the value of γ. However, only on the condition of higher temperature (γ<0.4), the influence of temperature on λ,m^* and E₀ of the magnetopolaron is obvious.