Fractional Statistics and Duality: Strong Tunneling Behavior of Edge States of Quantum Hall Liquids in the Jain Sequence

Claudio Chamon, Eduardo Fradkin, and Ana López
Phys. Rev. Lett. 98, 176801 – Published 24 April 2007

Abstract

While the values for the fractional charge and fractional statistics coincide for fractional Hall (FQH) states in the Laughlin sequence, they do not for more general FQH states, such as those in the Jain sequence. This mismatch leads to additional phase factors in the weak coupling expansion for tunneling between edge states which alter the nature of the strong tunneling limit. We show here how to construct a weak-strong coupling duality for generalized FQH states with sharp edges. The correct dualization of fractionally charged quasiparticles into integer charged fermions is a consistency requirement for a theory of FQH edge states with a simple edge. We show that this duality also applies for weakly reconstructed edges.

  • Received 23 August 2006

DOI:https://doi.org/10.1103/PhysRevLett.98.176801

©2007 American Physical Society

Authors & Affiliations

Claudio Chamon1, Eduardo Fradkin2, and Ana López3

  • 1Physics Department, Boston University, 590 Commonwealth Ave., Boston, Massachusetts 02215, USA
  • 2Department of Physics, University of Illinois at Urbana-Champaign, 1110 W. Green St., Urbana Illinois 61801-3080, USA
  • 3OUCE, Oxford University, South Parks Rd, Oxford OX1 3QY, United Kingdom

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Issue

Vol. 98, Iss. 17 — 27 April 2007

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