English

Relaxation in driven integer quantum Hall edge states

Strongly Correlated Electrons 2012-09-12 v2 Mesoscale and Nanoscale Physics

Abstract

A highly non-thermal electron distribution is generated when quantum Hall edge states originating from sources at different potentials meet at a quantum point contact. The relaxation of this distribution to a stationary form as a function of distance downstream from the contact has been observed in recent experiments [Phys. Rev. Lett. 105, 056803 (2010)]. Here we present an exact treatment of a minimal model for the system at filling factor \nu=2, with results that account well for the observations.

Keywords

Cite

@article{arxiv.1111.3914,
  title  = {Relaxation in driven integer quantum Hall edge states},
  author = {D. L. Kovrizhin and J. T. Chalker},
  journal= {arXiv preprint arXiv:1111.3914},
  year   = {2012}
}

Comments

8 pages, 6 figures, including 4 pages of supplementary material, final version as published

R2 v1 2026-06-21T19:37:11.652Z