English

LEVEL CORRELATIONS DRIVEN BY WEAK LOCALIZATION IN 2-D SYSTEMS

Condensed Matter 2016-08-31 v1

Abstract

We consider the two-level correlation function in two-dimensional disordered systems. In the non-ergodic diffusive regime, at energy ϵ>Ec\epsilon>E_{c} (EcE_{c} is the Thouless energy), it is shown to be completely determined by the weak localization effects, thus being extremely sensitive to time-reversal and spin symmetry breaking: it decreases drastically in the presence of magnetic field or magnetic impurities and changes its sign in the presence of a spin-orbit interaction. In contrast to this, the variance of the levels number fluctuations is shown to be almost unaffected by the weak localization effects.

Keywords

Cite

@article{arxiv.cond-mat/9501073,
  title  = {LEVEL CORRELATIONS DRIVEN BY WEAK LOCALIZATION IN 2-D SYSTEMS},
  author = {Vladimir E. Kravtsov and Igor V. Lerner},
  journal= {arXiv preprint arXiv:cond-mat/9501073},
  year   = {2016}
}

Comments

4 pages, 2 figures, in self-ectracting uuencoded file, submitted to Phys. Rev. Letters;