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Generalized waveguide approach to tight-binding wires: Understanding large vortex currents in quantum rings
We generalize the quantum waveguide approach to H\"uckel or tight-binding models relevant to unsaturated $\ensuremath{\pi}$ molecular devices. A Landauer-type formula for the current density through internal bonds is also derived which allows for defining a local conductance. The approach is employed to study internal circular currents in two-terminal rings. We …