Universality in metallic nanocohesion: a quantum chaos approach

Details Universality in metallic nanocohesion: a quantum chaos approach Universality in metallic nanocohesion: a quantum chaos approach

1999-07-07

arxiv.org/abs/cond-mat/9907104v2

Phys. Rev. Lett. 83, 4836 (1999)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

corrects spelling of one author name on abstract page (paper is unchanged)

Scientific paper

10.1103/PhysRevLett.83.4836

Convergent semiclassical trace formulae for the density of states and 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 nano-Newton, in agreement with recent experiments. Interestingly, quantum tunneling is shown to be described quantitatively in terms of the instability of the classical periodic orbits.

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