TY - JOUR

T1 - Tomonaga-Luttinger model and the Chern-Simons theory for the edges of multilayer fractional quantum Hall systems

AU - Orgad, D.

PY - 2007

Y1 - 2007

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=33846281166&partnerID=8YFLogxK

U2 - 10.1103/PhysRevB.75.035301

DO - 10.1103/PhysRevB.75.035301

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AN - SCOPUS:33846281166

SN - 1098-0121

VL - 75

JO - Physical Review B - Condensed Matter and Materials Physics

JF - Physical Review B - Condensed Matter and Materials Physics

IS - 3

M1 - 035301

ER -