English

Edge channel mixing induced by potential steps in an integer quantum Hall system

Mesoscale and Nanoscale Physics 2011-03-01 v2 Quantum Physics

Abstract

We investigate the coherent mixing of co-propagating edge channels in a quantum Hall bar produced by step potentials. In the case of two edge channels it is found that, although a single step induces only a few percent mixing, a series of steps could yield 50% mixing. In addition, a strong mixing is found when the potential height of a single step allows a different number of edge channels on the two sides of the step. Charge density probability has been also calculated even for the case where the step is smoothened.

Keywords

Cite

@article{arxiv.1008.1913,
  title  = {Edge channel mixing induced by potential steps in an integer quantum Hall system},
  author = {D. Venturelli and V. Giovannetti and F. Taddei and R. Fazio and D. Feinberg and G. Usaj and C. A. Balseiro},
  journal= {arXiv preprint arXiv:1008.1913},
  year   = {2011}
}

Comments

final version: 7 pages, 6 figures

R2 v1 2026-06-21T15:59:30.538Z