Modeling inelastic phonon scattering in atomic- and molecular-wire junctions

Abstract

Computationally inexpensive approximations describing electron-phonon scattering in molecular-scale conductors are derived from the non-equilibrium Green's function method. The accuracy is demonstrated with a first principles calculation on an atomic gold wire. Quantitative agreement between the full non-equilibrium Green's function calculation and the newly derived expressions is obtained while simplifying the computational burden by several orders of magnitude. In addition, analytical models provide intuitive understanding of the conductance including non-equilibrium heating and provide a convenient way of parameterizing the physics. This is exemplified by fitting the expressions to the experimentally observed conductances through both an atomic gold wire and a hydrogen molecule.

5 pages, 3 figures

References in corpus (7)

• Quantum properties of atomic-sized conductors
• Measurement of the conductance of a hydrogen molecule
• Vibrational sidebands and dissipative tunneling in molecular transistors
• Onset of dissipation in ballistic atomic wires
• Inelastic scattering and local heating in atomic gold wires
• Stretching dependence of the vibration modes of a single-molecule Pt-H2-Pt bridge
• Inelastic current-voltage characteristics of atomic and molecular junctions

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