English

Composite Edge States in the $\nu=2/3$ Fractional Quantum Hall Regime

Condensed Matter 2009-10-22 v1

Abstract

A generalized ν=2/3\nu=2/3 state, which unifies the edge-state pictures of MacDonald and of Beenakker is presented and studied in detail. Using an exact relation between correlation functions of this state and those of the Laughlin ν=1/3\nu=1/3 wave function, the correlation functions of the ν=2/3\nu=2/3 state are determined via a classical Monte Carlo calculation, for systems up to 5050 electrons. It is found that as a function of the slope of the confining potential there is a sharp transition of the ground state from one description to the other. The experimental implications are discussed.

Keywords

Cite

@article{arxiv.cond-mat/9311049,
  title  = {Composite Edge States in the $\nu=2/3$ Fractional Quantum Hall Regime},
  author = {Yigal Meir},
  journal= {arXiv preprint arXiv:cond-mat/9311049},
  year   = {2009}
}

Comments

11 pages, REVTEX 3.0, two postrscript figures available upon request