English

Semiclassical theory of weak antilocalization and spin relaxation in ballistic quantum dots

Mesoscale and Nanoscale Physics 2015-06-25 v1 Chaotic Dynamics

Abstract

We develop a semiclassical theory for spin-dependent quantum transport in ballistic quantum dots. The theory is based on the semiclassical Landauer formula, that we generalize to include spin-orbit and Zeeman interaction. Within this approach, the orbital degrees of freedom are treated semiclassically, while the spin dynamics is computed quantum mechanically. Employing this method, we calculate the quantum correction to the conductance in quantum dots with Rashba and Dresselhaus spin-orbit interaction. We find a strong sensitivity of the quantum correction to the underlying classical dynamics of the system. In particular, a suppression of weak antilocalization in integrable systems is observed. These results are attributed to the qualitatively different types of spin relaxation in integrable and chaotic quantum cavities.

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Cite

@article{arxiv.cond-mat/0506171,
  title  = {Semiclassical theory of weak antilocalization and spin relaxation in ballistic quantum dots},
  author = {Oleg Zaitsev and Diego Frustaglia and Klaus Richter},
  journal= {arXiv preprint arXiv:cond-mat/0506171},
  year   = {2015}
}

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20 pages