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

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4.5 Strong localization

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4.5.1 DMPK equation and localization in wires

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We have already demonstrated in Section 4.3 (and confirmed in Section 4.4) that in a sufficiently long one-dimensional system the weak localization correction, calculated according to the perturbation theory, becomes formally greater than the classical value of the conductance. This occurs if the length of the wire exceeds lN, where l and N are the mean free path and the number of transport channels, respectively. Another way of describing the same condition is to say that the ...

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