2006/08/17 by D. F. Urban, Daniel F. Urban, J. Bürki +3 · 13 citations
Engineering · Mathematics · Physics and Astronomy · #Buckling #Condensed matter physics #Electron #Free electron model #Geometry #Magnetic properties of thin films #Materials science #Mathematics #Mechanics #Molecular Junctions and Nanostructures #Nanoscopic scale #Nanotechnology #Nanowire #Physics #Quantum #Quantum and electron transport phenomena #Quantum mechanics #Rotational symmetry #Symmetry (geometry) #Symmetry breaking #Thermodynamics #cond-mat.mes-hall
paper · pdf · doi:10.1103/physrevb.74.245414
published in Physical Review B 74(24) (American Physical Society) · 12 pages, 4 figures
arxiv created 2006/08/17 · openalex publication_date 2006/12/13 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
A general linear stability analysis of simple metal nanowires is presented using a continuum approach that correctly accounts for material-specific surface properties and electronic quantum-size effects. The competition between surface tension and electron-shell effects leads to a complex landscape of stable structures as a function of diameter, cross section, and temperature. By considering arbitrary symmetry-breaking deformations, it is shown that the cylinder is the only generically stable structure. Nevertheless, a plethora of structures with broken axial symmetry is found at low conductance values, including wires with quadrupolar, hexapolar, and octupolar cross sections. These nonintegrable shapes are compared to previous results on elliptical cross sections, and their material-dependent relative stability is discussed.