Conductance length autocorrelation in quasi one-dimensional disordered wires

Details Conductance length autocorrelation in quasi one-dimensional disordered wires Conductance length autocorrelation in quasi one-dimensional disordered wires

1997-02-11

arxiv.org/abs/cond-mat/9702095v1

J. Phys. A: Math. Gen. 29, 5313 (1996)

Physics

Condensed Matter

Disordered Systems and Neural Networks

23 pages, Revtex, two figures

Scientific paper

10.1088/0305-4470/29/17/009

Employing techniques recently developed in the context of the Fokker--Planck approach to electron transport in disordered systems we calculate the conductance length correlation function $< \delta g(L) \delta g(L+\Delta L) >$ for quasi 1d wires. Our result is valid for arbitrary lengths L and $\Delta L$. In the metallic limit the correlation function is given by a squared Lorentzian. In the localized regime it decays exponentially in both L and $\Delta L$. The correlation length is proportional to L in the metallic regime and saturates at a value approximately given by the localization length $\xi$ as $L\gg\xi$.

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