THEORY OF THE EDGE STATES IN FRACTIONAL QUANTUM HALL EFFECTS

1992/05/20 by Xiao-Gang Wen, XIAO-GANG WEN · 727 citations
Physics and Astronomy · #Condensed matter physics #Electron #Fractional quantum Hall effect #Magnetic properties of thin films #Physics #Propagator #Quantum Hall effect #Quantum and electron transport phenomena #Quantum mechanics #Quantum spin Hall effect #Quantum tunnelling #Quasiparticle #Superconductivity #Surface and Thin Film Phenomena

paper · doi:10.1142/s0217979292000840

published in International Journal of Modern Physics B 06(10), 1711-1762 (World Scientific Pub Co Pte Lt)

crossref issued 1992/05/20 · crossref published 1992/05/20 · crossref published-print 1992/05/20 · openalex publication_date 1992/05/20 · crossref created 2004/11/25 · crossref published-online 2012/04/06 · crossref deposited 2019/08/07 · openalex created_date 2025/10/10 · crossref indexed 2026/08/04 · openalex updated_date 2026/08/04

Abstract

The dynamical theory of the edge excitations of generic fractional quantum Hall (FQH) states is summarized and expanded. The low energy effective theory of the edge excitations for the most general abelian FQH states (including spin-unpolarized and multi-layer FQH states) and some non-abelian FQH states is derived using several different methods. The propagators of the electrons and the quasiparticles are calculated for the above FQH states. The microscopic theory of the edge excitations for the Laughlin states is also presented. Some simple applications of the edge theory to the transport properties of the FQH states are discussed. In particular, the tunneling between edge states is shown to be a powerful tool to probe the internal topological orders in the FQH states. It can be used to distinguish different FQH states with the same filling fraction and to detect the non-abelian FQH states in experiments.

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