Quantum Suppression of the Rayleigh Instability in Nanowires

Physics – Condensed Matter – Mesoscale and Nanoscale Physics

Scientific paper

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10 pages, 5 eps figures, updated and expanded, accepted for publication in "Nonlinearity"

Scientific paper

10.1088/0951-7715/14/1/310

A linear stability analysis of metallic nanowires is performed in the free-electron model using quantum chaos techniques. It is found that the classical instability of a long wire under surface tension can be completely suppressed by electronic shell effects, leading to stable cylindrical configurations whose electrical conductance is a magic number 1, 3, 5, 6,... times the quantum of conductance. Our results are quantitatively consistent with recent experiments with alkali metal nanowires.

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