Abstract

We calculate, within a statistical scattering formalism, the averaged resistance and the mean resistance fluctuations of a mesoscopic sample with four leads. The disorder is modeled by a random Hamiltonian constructed from several coupled Gaussian orthogonal ensembles. Phase-breaking effects are introduced by individually preaveraging the two-point functions (conductances) before calculating the fluctuations. Without dephasing, our results agree with previous numerical simulations but prove to be highly geometry dependent. The inclusion of phase-breaking effects is shown to eliminate this dependence, thus leading our results to coincide with those derived by impurity perturbation techniques based on the Kubo-Greenwood formula.

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