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题名: A transfer matrix approach to conductance in quantum waveguides
作者: Sheng WD;  Xia JB
发表日期: 1996
摘要: A transfer matrix approach is presented for the study of electron conduction in an arbitrarily shaped cavity structure embedded in a quantum wire. Using the boundary conditions for wave functions, the transfer matrix at an interface with a discontinuous potential boundary is obtained for the first time. The total transfer matrix is calculated by multiplication of the transfer matrix for each segment of the structure as well as numerical integration of coupled second-order differential equations. The proposed method is applied to the evaluation of the conductance and the electron probability density in several typical cavity structures. The effect of the geometrical features on the electron transmission is discussed in detail. In the numerical calculations, the method is found to be more efficient than most of the other methods in the literature and the results are found to be in excellent agreement with those obtained by the recursive Green's function method.
KOS主题词: Quantum theory;  Electron gas;  critical fluctuations;  Aerodynamics;  Channels;  Wire rope;  well
刊名: JOURNAL OF PHYSICS-CONDENSED MATTER
专题: 中国科学院半导体研究所(2009年前)_期刊论文

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推荐引用方式:
Sheng WD; Xia JB .A transfer matrix approach to conductance in quantum waveguides ,JOURNAL OF PHYSICS-CONDENSED MATTER,1996,8(20):3635-3645
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