Random-matrix theory of quantum transport

@article{Beenakker1997RandommatrixTO,
  title={Random-matrix theory of quantum transport},
  author={C. W. J. Beenakker},
  journal={Reviews of Modern Physics},
  year={1997},
  volume={69},
  pages={731-808}
}
  • C. Beenakker
  • Published 19 December 1996
  • Physics
  • Reviews of Modern Physics
This is a review of the statistical properties of the scattering matrix of a mesoscopic system. Two geometries are contrasted: A quantum dot and a disordered wire. The quantum dot is a confined region with a chaotic classical dynamics, which is coupled to two electron reservoirs via point contacts. The disordered wire also connects two reservoirs, either directly or via a point contact or tunnel barrier. One of the two reservoirs may be in the superconducting state, in which case conduction… 

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