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29 March 2024
 
  » arxiv » cond-mat/9711173

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Conformal field theory approach to gapless 1D fermion systems and application to the edge excitations of nu = 1/(2p+1) quantum Hall sequences
P. Degiovanni ; Ch. Chaubet ; R. Melin ;
Date 18 Nov 1997
Journal Theor.Math.Phys. 117 (1998) 1113-1181; Teor.Mat.Fiz. 117 (1998) 3-91
Subject Mesoscopic Systems and Quantum Hall Effect; Strongly Correlated Electrons | cond-mat.mes-hall cond-mat.str-el
AffiliationENSLAPP / ENS Lyon, France), Ch. Chaubet (GES / Univ. Montpellier 2, France), R. Melin (CRTBT / Grenoble, France
AbstractWe present a comprehensive study of the effective Conformal Field Theory (CFT) describing the low energy excitations of a gas of spinless interacting fermions on a circle in the gapless regime (Luttinger liquid). Functional techniques and modular transformation properties are used to compute all correlation functions in a finite size and at finite temperature. Forward scattering disorder is treated exactly. Laughlin experiments on charge transport in a Quantum Hall Fluid on a cylinder are reviewed within this CFT framework. Edge excitations above a given bulk excitation are described by a twisted version of the Luttinger effective theory. Luttinger CFTs corresponding to the nu =1/(2p+1) filling fractions appear to be rational CFTs (RCFT). Generators of the extended symmetry algebra are identified as edge fermions creators and annihilators, thus giving a physical meaning to the RCFT point of view on edge excitations of these sequences.
Source arXiv, cond-mat/9711173
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