English

Screening Behavior and Scaling Exponents from Quantum Hall Wavefunctions

Mesoscale and Nanoscale Physics 2012-07-23 v2 Strongly Correlated Electrons

Abstract

We provide a robust and generic method to assess the screening properties and extract the scaling exponents of quasiparticle edge excitations of quantum Hall states from model wavefunctions. We numerically implement this method for the fundamental quasihole and hole excitations of several model states. For the Laughlin, Moore-Read, and Z_3-Read-Rezayi states, we find agreement with the predicted edge theory, verifying the bulk-edge correspondence. We also use this to obtain the first clear microscopic demonstration of the pathologies of the Gaffnian wavefunctions.

Keywords

Cite

@article{arxiv.1207.3305,
  title  = {Screening Behavior and Scaling Exponents from Quantum Hall Wavefunctions},
  author = {B. Andrei Bernevig and Parsa Bonderson and Nicolas Regnault},
  journal= {arXiv preprint arXiv:1207.3305},
  year   = {2012}
}

Comments

5 pages, 2 figures; v2: minor changes and error corrected

R2 v1 2026-06-21T21:35:20.274Z