Screening Behavior and Scaling Exponents from Quantum Hall Wavefunctions
arXiv:1207.3305
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.
5 pages, 2 figures; v2: minor changes and error corrected
Cited by in corpus (6)
- Quantum Hall Physics - hierarchies and CFT techniques
- Thirty Years of Composite Fermions and Beyond
- Wavefunctionology: The Special Structure of Certain Fractional Quantum Hall Wavefunctions
- Correlation Lengths and Topological Entanglement Entropies of Unitary and Non-Unitary Fractional Quantum Hall Wavefunctions
- Thin torus perturbative analysis of elementary excitations in the Gaffnian and Haldane-Rezayi quantum Hall states
- Success and failure of the plasma analogy for Laughlin states on a torus