Electron transport through a circular constriction

Branislav Nikolic; Philip B. Allen

doi:10.1103/PhysRevB.60.3963

Electron transport through a circular constriction

无序系统与神经网络 2009-10-31 v1

作者: Branislav Nikolic , Philip B. Allen

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摘要

We calculate the conductance of a circular constriction of radius $a$ in an insulating diaphragm which separates two conducting half-spaces characterized by the mean free path $\ell$ . Our exact result interpolates between the Maxwell conductance in diffusive ( $\ell \ll a$ ) and the Sharvin conductance in ballistic ( $\ell \gg a$ ) transport regime. Following the earlier approach of Wexler we find the explicit form of the Green's function for the linearized Boltzmann operator. The formula for the conductance deviates by less than 11% from the naive interpolation formula obtained by adding resistances in the diffusive and the ballistic regime.

引用

@article{arxiv.cond-mat/9811296,
  title  = {Electron transport through a circular constriction},
  author = {Branislav Nikolic and Philip B. Allen},
  journal= {arXiv preprint arXiv:cond-mat/9811296},
  year   = {2009}
}

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9 pages, 3 figures

Electron transport through a circular constriction

摘要

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