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Universality in Metallic Nanocohesion: A Quantum Chaos Approach

1999/07/31 by C. A. Stafford, Charles Stafford, Frank Kassubek +4 · 3 citations
Engineering · Physics and Astronomy · #Mechanical and Optical Resonators #Molecular Junctions and Nanostructures #Quantum and electron transport phenomena #chao-dyn #cond-mat.mes-hall #nlin.CD

paper · pdf · doi:10.1103/physrevlett.83.4836

published as Phys. Rev. Lett. 83, 4836 (1999) · corrects spelling of one author name on abstract page (paper is unchanged)

openalex publication_date 1999/12/06 · arxiv created 2006/09/13 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Convergent semiclassical trace formulas for the density of states and the cohesive force of a narrow constriction in an electron gas, whose classical motion is either chaotic or integrable, are derived. It is shown that mode quantization in a metallic point contact or nanowire leads to universal oscillations in its cohesive force: the amplitude of the oscillations depends only on a dimensionless quantum parameter describing the crossover from chaotic to integrable motion, and is of order 1 nN, in agreement with recent experiments.

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