English

Standard form of the scattering matrix for time reversal symmetric system

Mesoscale and Nanoscale Physics 2013-11-26 v2

Abstract

In this paper, we present the standard form of the scattering matrix of mesocopic system with spin-orbital coupling which preserves time reversal symmetry. We found some analytical structure of the scattering matrix related to the sub-matrices between arbitrary two channels. In particular, we proved that in the two-terminal mono-channel scattering problem, the transmission matrix is proportional to a SU(2) matrix. We obtained these properties through direct and elementary way and found it in agreement with polar decomposition known before.

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Cite

@article{arxiv.1310.3733,
  title  = {Standard form of the scattering matrix for time reversal symmetric system},
  author = {Yongjin Jiang and Xiaoli Lu and Feng Zhai},
  journal= {arXiv preprint arXiv:1310.3733},
  year   = {2013}
}

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3 pages