Quantum suppression of the Rayleigh instability in nanowires

F. Kassubek, Charles A Stafford, Hermann Grabert, Raymond E. Goldstein

Research output: Contribution to journalArticle

32 Citations (Scopus)

Abstract

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.

Original languageEnglish (US)
Pages (from-to)167-177
Number of pages11
JournalNonlinearity
Volume14
Issue number1
DOIs
StatePublished - Jan 2001

Fingerprint

Nanowires
Conductance
Rayleigh
nanowires
retarding
Quantum Chaos
Linear stability analysis
Linear Stability Analysis
Alkali metals
Surface Tension
Chaos theory
alkali metals
free electrons
Surface tension
chaos
Shell
interfacial tension
Metals
Electronics
wire

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics
  • Mathematical Physics
  • Statistical and Nonlinear Physics

Cite this

Quantum suppression of the Rayleigh instability in nanowires. / Kassubek, F.; Stafford, Charles A; Grabert, Hermann; Goldstein, Raymond E.

In: Nonlinearity, Vol. 14, No. 1, 01.2001, p. 167-177.

Research output: Contribution to journalArticle

Kassubek, F. ; Stafford, Charles A ; Grabert, Hermann ; Goldstein, Raymond E. / Quantum suppression of the Rayleigh instability in nanowires. In: Nonlinearity. 2001 ; Vol. 14, No. 1. pp. 167-177.
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