arXiv · cond-mat/0411058
Stability of Metal Nanowires at Ultrahigh Current Densities
Abstract
We develop a generalized grand canonical potential for the ballistic nonequilibrium electron distribution in a metal nanowire with a finite applied bias voltage. Coulomb interactions are treated in the self-consistent Hartree approximation, in order to ensure gauge invariance. Using this formalism, we investigate the stability and cohesive properties of metallic nanocylinders at ultrahigh current densities. A linear stability analysis shows that metal nanowires with certain {\em magic conductance values} can support current densities up to 10^11 A/cm^2, which would vaporize a macroscopic piece of metal. This finding is consistent with experimental studies of gold nanowires. Interestingly, our analysis also reveals the existence of reentrant stability zones--geometries that are stable only under an applied bias.
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C. -H. Zhang, J. Bürki, C. A. Stafford. 2005-06-07. Stability of Metal Nanowires at Ultrahigh Current Densities. https://doi.org/10.1103/physrevb.71.235404
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