We present a theoretical procedure with numerical demonstration of a workable and efficient method to
evaluate the surface Green’s function of semi-infinite leads connected to a device. Such a problem always occurs
in quantum transport calculations but also in the study of surfaces and heterojunctions. We show here that these
semi-infinite leads can be properly described by real-energy Green’s functions obtained analytically by a smart
solution of the Riccatimatrix equation. The performance of our method is demonstrated in the case of a multichain
two-dimensional electron-gas system, composed of a central ribbon connected to two semi-infinite leads, pierced
by two opposite magnetic fields
We provide an analytical and numerical study of the electronic and transport properties of a ladder system composed of two coupled chains, arranged in the ladder polymer and in the polyacene lattice topology, with a single substitutional edge impurity embedded in one of them. We evidence in particular the connection between local density of states, transmittivity, and occurrence of Fano resonances in the transmission spectra. Comparison of the local density of states and charge transmittivity through the two different ladder systems, as the impurity position is varied, contributes to evidence the nature of resonant interactions occurring for electronic energies coinciding with the impurity energy
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