Finite size effects on transport coefficients for models of atomic wires coupled to phonons |
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Authors: | C Bartsch J Gemmer |
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Institution: | 1.Fachbereich Physik, Universit?t Osnabrück,Osnabrück,Germany |
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Abstract: | We consider models of quasi-1-d, planar atomic wires consisting of several, laterally coupled rows of atoms, with mutually
non-interacting electrons. This electronic wire system is coupled to phonons, corresponding, e.g., to some substrate. We aim
at computing diffusion coefficients in dependence on the wire widths and the lateral coupling. To this end we firstly construct
a numerically manageable linear collision term for the dynamics of the electronic occupation numbers by following a certain
projection operator approach. By means of this collision term we set up a linear Boltzmann equation. A formula for extracting
diffusion coefficients from such Boltzmann equations is given. We find in the regime of a few atomic rows and intermediate
lateral coupling a significant and non-trivial dependence of the diffusion coefficient on both, the width and the lateral
coupling. These results, in principle, suggest the possible applicability of such atomic wires as electronic devices, such
as, e.g., switches. |
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