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

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2.6 Ohm’s law for transmission distribution

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Let us start with the examples of specific quantum circuit theories. We know from Chapter 1 that the “pin-code” of Tp and the distribution ρ(T) of these transmission eigenvalues play a central role in quantum transport. In this section, we address the transmission distribution of a compound nanostructure comprising elements with known transmission distributions. For this purpose, we develop a specific quantum circuit theory based on the conservation law for a matrix current. The resulting scheme is surprisingly similar to common circuit theory based on Ohm’s law and is applicable at where the law applies. ...

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