Generalized waveguide approach to tight-binding wires: Understanding large vortex currents in quantum rings

Details Generalized waveguide approach to tight-binding wires: Understanding large vortex currents in quantum rings Generalized waveguide approach to tight-binding wires: Understanding large vortex currents in quantum rings

2009-03-03

arxiv.org/abs/0903.0557v1

Phys. Rev. B 79, 073406 (2009)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

5 pages, 3 figures

Scientific paper

10.1103/PhysRevB.79.073406

We generalize the quantum waveguide approach to H\"uckel or tight-binding models relevant to unsaturated $\p$ molecular devices. A Landauer-like formula for the current density through {\em 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 show how to predict the occurrence and the nature of large vortex currents in coincidence with vanishingly small currents in the leads. We also prove a remarkably simple formula for the onset of a vortex regime.

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