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  • 學位論文

自旋相關電子傳輸研究之等效平均自由徑模型

Semiclassical Approach to Studying Spin-dependent Electron Transport: Effective Mean-free-path Model

指導教授 : 張慶瑞

摘要


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並列摘要


We have developed a novel model in order to study the transport electron in various structures with realistic boundary conditions. The effective mean free path is the main physical quantity used to specify the electron transport in the system; therefore, this model is called the effective mean-free-path model. This model is based on the assumption that the difference between the effective mean free path and the original mean free path is completely attributed to all e¤ective diffusive scatterings in system. Moreover, the general solution for the electron distribution in an applied electric field is related to the effective mean free path, and the undetermined coeffcient in the general solution for the electron distribution is associated with all effective diffusive scatterings. Furthermore, we provide a diagrammatical method to determine all effective diffusive scatterings associated with the effective mean free path and with the solution for the electron distribution. This diagrammatical method has clear physical interpretations and can be used to determine the electron transport in the analytical convergent form. All solutions for the electron distributions obtained from the effective mean-free-path model can be proven to be equivalent to those derived by use of solving the complicated coupled equations from the linear response Boltzmann transport equation in the relaxation time approximation with the given boundary conditions.

參考文獻


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