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Conductance correlations in a mesoscopic spin glass wire : a numerical Landauer study

In this letter we study the coherent electronic transport through a metallic nanowire with magnetic impurities. The spins of these impurities are considered as frozen to mimic a low temperature spin glass phase. The transport properties of the wire are derived from a numerical Landauer technique which provides the conductance of the wire as a function of the disorder configuration. We show that the correlation of conductance between two spin configurations provides a measure of the correlation between these spin configurations. This correlation corresponds to the mean field overlap in the absence of any spatial order between the spin configurations. Moreover, we find that these conductance correlations are sensitive to the spatial order between the two spin configurations, i.e whether the spin ?ips between them occur in a compact region or not.