Conductance length autocorrelation in quasi one-dimensional disordered wires

الأصل · EN

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 < δg(L) δg(L+ΔL) > for quasi 1d wires. Our result is valid for arbitrary lengths L and ΔL. In the metallic limit the correlation function is given by a squared Lorentzian. In the localized regime it decays exponentially in both L and ΔL. The correlation length is proportional to L in the metallic regime and saturates at a value approximately given by the localization length ξ as L≫ξ.