English

The spin-split incompressible edge states within empirical Hartree approximation at intermediately large Hall samples

Mesoscale and Nanoscale Physics 2009-11-13 v1

Abstract

A self-consistent Thomas-Fermi-Poisson based calculation scheme is used to achieve spin resolved incompressible strips (ISs). The effect of exchange and correlation is incorporated by an empirically induced g factor. A local version of the Ohm's law describes the imposed fixed current, where the discrepancies of this model are resolved by a relevant spatial averaging process. The longitudinal resistance is obtained as a function of the perpendicular (strong) magnetic field at filling factor one and two plateaus. Interrelation between the ISs and the longitudinal zeros is explicitly shown.

Keywords

Cite

@article{arxiv.0707.1123,
  title  = {The spin-split incompressible edge states within empirical Hartree approximation at intermediately large Hall samples},
  author = {Afif Siddiki},
  journal= {arXiv preprint arXiv:0707.1123},
  year   = {2009}
}

Comments

EP2DS-17 Proceedings, 6 Pages, 2 Figures

R2 v1 2026-06-21T08:56:10.978Z