Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2005-05-19
PRB 72, 201101(R), 2005
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
5 pages, 3 figures
Scientific paper
10.1103/PhysRevB.72.201101
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.
Brandbyge Mads
Frederiksen Thomas
Paulsson Magnus
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