Counting Statistics of Parallel Al atomic wires

We have studied how the lateral interaction affects the electric conductance, the second-order current correlation (shot noise), and the third-order one (skewness) of a pair of parallel Al atomic wires. The field operator of wave function is introduced to calculate the current-current correlations. The corresponding wave functions are self-consistently obtained by iteration according to the Lippmann-Schwinger First-principles calculation. The results show that when the distance between two wires is sufficiently small, the bonding interaction near the Fermi level will induce a spatial delocalization of electrons. This leads to an electric conduction value greater than the sum of two uncorrelated atomic wire, and a side-band peak is generated around the maximum conductance. This correlation can also be observed from the shot noise and the skewness. In addition, we found that the three-order Fano factor is negatively related to the conductance.