4.6 Article

An analytical model for steady-state currents in conjugated systems

Journal

CHEMICAL PHYSICS LETTERS
Volume 459, Issue 1-6, Pages 198-202

Publisher

ELSEVIER SCIENCE BV
DOI: 10.1016/j.cplett.2008.05.062

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The 'source-and-sink-potential' approach is used to treat the steady-state currents created by injection of ballistic electrons via external contacts into unsaturated p systems. An analytical expression is derived, within the tight-binding approximation, for the molecular transmission as a function of energy, which is cast in terms of four characteristic polynomials: those of the molecular graph and three vertex-deleted sub-graphs. The dependence of transmission on both the molecular skeleton and its mode of connection is thereby made explicit. (c) 2008 Elsevier B.V. All rights reserved.

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