On the Stability and Structural Dynamics of Metal Nanowires
arXiv:cond-mat/0504597 · doi:10.1007/s00339-005-3389-8
Abstract
This article presents a brief review of the nanoscale free-electron model, which provides a continuum description of metal nanostructures. It is argued that surface and quantum-size effects are the two dominant factors in the energetics of metal nanowires, and that much of the phenomenology of nanowire stability and structural dynamics can be understood based on the interplay of these two competing factors. A linear stability analysis reveals that metal nanocylinders with certain magic conductance values G=1, 3, 6, 12, 17, 23, 34, 42, 51, 67, 78, 96, ... times the conductance quantum are exceptionally stable. A nonlinear dynamical simulation of nanowire structural evolution reveals a universal equilibrium shape consisting of a magic cylinder suspended between unduloidal contacts. The lifetimes of these metastable structures are also computed.
arXiv comment8 pages, 6 figures
References in corpus (18)
- Formation and manipulation of a metallic wire of single gold atoms
- Quantum Conductance in Silver Nanowires: correlation between atomic structure and transport properties
- Jellium model of metallic nanocohesion
- Fabrication and Characterization of Metallic Nanowires
- Observation of Supershell Structure in Alkali Metal Nanowires
- Force, charge, and conductance of an ideal metallic nanowire
- Crossover from Electronic to Atomic Shell Structure in Alkali Metal Nanowires
- Surface Fluctuations and the Stability of Metal Nanowires
- Quantum Suppression of the Rayleigh Instability in Nanowires
- Cohesion and conductance of disordered metallic point contacts
- Interplay of Rayleigh and Peierls Instabilities in Metallic Nanowires
- Quantum Necking in Stressed Metallic Nanowires
- Universality in metallic nanocohesion: a quantum chaos approach
- Jahn-Teller Distortions and the Supershell Effect in Metal Nanowires
- Comment on ``Quantum Suppression of Shot Noise in Atom-Size Metallic Contacts''
- Stability of Metal Nanowires at Ultrahigh Current Densities
- Electronic shell effects and the stability of alkali nanowires
- Fluctuational Instabilities of Alkali and Noble Metal Nanowires
Cited by in corpus (9)
- Stability and Symmetry Breaking in Metal Nanowires
- Scaling Theory of the Peierls-CDW in Metal Nanowires
- Electronic and atomic shell structure in aluminum nanowires
- Enhanced Two-Channel Kondo Physics in a Quantum Box Device
- Comment on "Nonlinear current-voltage curves of gold quantum point contacts" [Appl. Phys. Lett. 87, 103104 (2005)]
- Discrete thinning dynamics in a continuum model of metallic nanowires
- Front propagation into unstable metal nanowires
- Lifetimes of Metal Nanowires with Broken Axial Symmetry
- Phase-field study of surface diffusion enhanced break-ups of nanowire junctions