2012/07/13 by B. Andrei Bernevig, Parsa Bonderson, Bernevig, B. Andrei +3 · 1 citation
Computer Science · Physics and Astronomy · #FOS: Physical sciences #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Quantum Computing Algorithms and Architecture #Quantum and electron transport phenomena #Strongly Correlated Electrons (cond-mat.str-el) #cond-mat.mes-hall #cond-mat.str-el
paper · pdf · doi:10.48550/arxiv.1207.3305
5 pages, 2 figures; v2: minor changes and error corrected
openalex publication_date 2012/07/13 · arxiv created 2012/07/20 · arxiv updated 2012/07/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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 Z3-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.