Conformal field theory approach to gapless 1D fermion systems and application to the edge excitations of $\nu =1/(2p+1)$ quantum Hall sequences
Teoretičeskaâ i matematičeskaâ fizika, Tome 117 (1998) no. 1, pp. 5-91
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An 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) is investigated. Functional techniques and modular-transformation properties are used to compute all correlation functions for a finite size and temperature. Forward-scattering disorder is treated exactly. Laughlin experiments on charge transport in a quantum Hall fluid on a cylinder are reviewed in 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 are rational CFTs (RCFT). Generators of the extended symmetry algebra are identified as edge-fermion creators and annihilators, thus giving a physical meaning to the RCFT viewpoint on edge excitations of these sequences.
@article{TMF_1998_117_1_a1,
author = {P. Degiovanni and R. Melin and K. Chaubet},
title = {Conformal field theory approach to gapless {1D} fermion systems and application to the edge excitations of $\nu =1/(2p+1)$ quantum {Hall} sequences},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {5--91},
publisher = {mathdoc},
volume = {117},
number = {1},
year = {1998},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1998_117_1_a1/}
}
TY - JOUR AU - P. Degiovanni AU - R. Melin AU - K. Chaubet TI - Conformal field theory approach to gapless 1D fermion systems and application to the edge excitations of $\nu =1/(2p+1)$ quantum Hall sequences JO - Teoretičeskaâ i matematičeskaâ fizika PY - 1998 SP - 5 EP - 91 VL - 117 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_1998_117_1_a1/ LA - ru ID - TMF_1998_117_1_a1 ER -
%0 Journal Article %A P. Degiovanni %A R. Melin %A K. Chaubet %T Conformal field theory approach to gapless 1D fermion systems and application to the edge excitations of $\nu =1/(2p+1)$ quantum Hall sequences %J Teoretičeskaâ i matematičeskaâ fizika %D 1998 %P 5-91 %V 117 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/TMF_1998_117_1_a1/ %G ru %F TMF_1998_117_1_a1
P. Degiovanni; R. Melin; K. Chaubet. Conformal field theory approach to gapless 1D fermion systems and application to the edge excitations of $\nu =1/(2p+1)$ quantum Hall sequences. Teoretičeskaâ i matematičeskaâ fizika, Tome 117 (1998) no. 1, pp. 5-91. http://geodesic.mathdoc.fr/item/TMF_1998_117_1_a1/