An embedding potential definition of channel functions

Details An embedding potential definition of channel functions An embedding potential definition of channel functions

2004-07-08

arxiv.org/abs/math-ph/0407012v1

Physics

Mathematical Physics

14 pages, 2 figures

Scientific paper

10.1103/PhysRevB.71.155120

We show that the imaginary part of the embedding potential, a generalised logarithmic derivative, defined over the interface between an electrical lead and some conductor, has orthogonal eigenfunctions which define conduction channels into and out of the lead. In the case of an infinitely extended interface we establish the relationship between these eigenfunctions and the Bloch states evaluated over the interface. Using the new channel functions, a well-known result for the total transmission through the conductor system is simply derived.

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