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Quantum Transport by Yaroslav M. Blanter, Yuli V. Nazarov

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1.6.5 Interference and combining scattering matrices

Real systems are more complicated than the simple models described above – they contain more transport channels and more scatterers. A scattering matrix of such a complex system is a combination of scattering matrices of individual scatterers and phase shifts acquired by an electron traveling between the scatterers (these phase shifts are different for different channels and form a special scattering matrix that is diagonal in the channel index). The general principle, which we illustrate with a number of examples in the following, is that output channels of one scatterer serve as input channels ...

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