Electron conduction in molecular wires. I. A scattering formalism

V. Mujica*, M. Kemp, M. A. Ratner

*Corresponding author for this work

Research output: Contribution to journalArticle

499 Scopus citations

Abstract

We extend a model originally intended for the description of the scanning tunneling microscope (STM) current in molecular imaging of one-dimensional systems, to encompass the more general process of electron transfer between two reservoirs of states. In the STM problem, the reservoirs are naturally associated with the metal density of states of the electrodes. In the molecular electron transfer problem, the identification of the reservoirs with the Franck-Condon weighted density of vibrational states allows a number of fruitful connections with the theory of nonadiabatic electron transfer (ET) in molecules to be established. In this article, we present an exact procedure, based on Löwdin's partitioning technique, to determine the Green's function and the T matrix, relevant to the transport process. We obtain compact expressions for the conductance and the density of states in the limit of small applied voltage and low temperature, and discuss the important case where the molecular wire is described by a tight-binding Hamiltonian. Finally, we discuss some physical implications of the model.

Original languageEnglish (US)
Pages (from-to)6849-6855
Number of pages7
JournalThe Journal of Chemical Physics
Volume101
Issue number8
DOIs
StatePublished - Jan 1 1994

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Physical and Theoretical Chemistry

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