Tomonaga-Luttinger model and the Chern-Simons theory for the edges of multilayer fractional quantum Hall systems

D. Orgad*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

Wen's chiral Tomonaga-Luttinger model for the edge of an m -layer quantum Hall system of total filling factor ν= (pm±1) with even p is derived as a random-phase approximation of the Chern-Simons theory for these states. The theory allows for a description of edges both in and out of equilibrium, including their collective excitation spectrum and the tunneling exponent into the edge. While the tunneling exponent is insensitive to the details of the ν=m (pm+1) edge, it tends to decrease when a ν=m (pm-1) edge is taken out of equilibrium. The applicability of the theory to fractional quantum Hall states in a single layer is discussed.

Original languageAmerican English
Article number035301
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume75
Issue number3
DOIs
StatePublished - 2007

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