Resonant Transmission Through Two Impurities in a Narrow Quantum Wire

We study electron transmission through two impurities in a narrow quantum wire by solving Dyson's equations for single electron Green functions. We have verified that, for the delta-function potential of two impurities, the Green function can be factorized into a product of the ‘free’ Green function and current transmission amplitude. Meanwhile Green function and current transmission amplitude obey Fisher-Lee's relation. An analytical expression of the electron transmission amplitude for intrasubband and intersubband is obtained as a function of Fermi energy and the distance between two impurities. The resonant behavior of the current transmission amplitude are detail discussed.

不同晶格常数光子晶体构成的光量子阱中的共振模

用基于平面波的传输矩阵法分析由具有不同晶格常数的光子晶体材料构成的光量子阱结构中的共振模,发现湮没于垒层的阱层能带分离成共振模,且共振模的数目随阱层的厚度变化而改变。提出一种新型的非对称量子阱结构模型,由2块晶格常数不同的光子晶体材料和夹在光子晶体材料中间作为阱层的均匀介电材料构成,并对其中的共振模进行了分析。指出当阱层厚度达到构成垒层的光子晶体晶格常数的一半时出现一个共振模,若继续小量增加阱层厚度将使共振模频率出现红移。最后给出一种基于平面波的传输矩阵法,且对于不同晶格常数的光子晶体量子阱结构均有效的数值模拟方法,可用于研究由三维光子晶体材料或者色散材料组成的光子晶体量子阱结构。