English

Comment on "Spin relaxation in quantum Hall systems"

Mesoscale and Nanoscale Physics 2009-10-31 v1

Abstract

W. Apel and Yu.A. Bychkov have recently considered the spin relaxation in a 2D quantum Hall system for the filling factor close to unity [PRL v.82, 3324 (1999)]. The authors considered only one spin flip mechanism (direct spin-phonon coupling) among several possible spin-orbit related ones and came to the conclusion that the spin relaxation time due to this mechanism is quite short: around 101010^{-10} s at B=10 T (for GaAs). This time is much shorter than the typical time (10510^{-5} s) obtained earlier by D. Frenkel while considering the spin relaxation of 2D electrons in a quantizing magnetic field without the Coulomb interaction and for the same spin-phonon coupling. I show that the authors' conclusion about the value of the spin-flip time is wrong and have deduced the correct time which is by several orders of magnitude longer. I also discuss the admixture mechanism of the spin-orbit interaction.

Keywords

Cite

@article{arxiv.cond-mat/0005522,
  title  = {Comment on "Spin relaxation in quantum Hall systems"},
  author = {Alexander V. Khaetskii},
  journal= {arXiv preprint arXiv:cond-mat/0005522},
  year   = {2009}
}

Comments

1 page

R2 v1 2026-07-22T10:03:23.380Z