English

Neutral modes edge state dynamics through quantum point contacts

Strongly Correlated Electrons 2010-01-19 v1 Mesoscale and Nanoscale Physics

Abstract

Dynamics of neutral modes for fractional quantum Hall states is investigated for a quantum point contact geometry in the weak-backscattering regime. The effective field theory introduced by Fradkin-Lopez for edge states in the Jain sequence is generalized to the case of propagating neutral modes. The dominant tunnelling processes are identified also in the presence of non-universal phenomena induced by interactions. The crossover regime in the backscattering current between tunnelling of single-quasiparticles and of agglomerates of p-quasiparticles is analysed. We demonstrate that higher order cumulants of the backscattering current fluctuations are a unique resource to study quantitatively the competition between different carrier charges. We find that propagating neutral modes are a necessary ingredient in order to explain this crossover phenomena.

Keywords

Cite

@article{arxiv.0910.5693,
  title  = {Neutral modes edge state dynamics through quantum point contacts},
  author = {Dario Ferraro and Alessandro Braggio and Nicodemo Magnoli and Maura Sassetti},
  journal= {arXiv preprint arXiv:0910.5693},
  year   = {2010}
}

Comments

28 pages, 5 figures

R2 v1 2026-06-21T14:05:01.085Z