Symanzik's Method Applied To The Fractional Quantum Hall Edge States
High Energy Physics - Theory
2008-12-19 v1 Mesoscale and Nanoscale Physics
Abstract
In this paper we consider an abelian Chern-Simons theory with plane boundary and we show, following Symankiz's quite general approach, how the known results for edge states in the Laughlin series can be derived in a systematic way by the separability condition. Moreover we show that the conserved boundary currents find a natural and explicit interpretation in terms of the continuity equation and the Tomonaga-Luttinger commutation relation for electronic density is recovered.
Keywords
Cite
@article{arxiv.0804.0164,
title = {Symanzik's Method Applied To The Fractional Quantum Hall Edge States},
author = {Alberto Blasi and Dario Ferraro and Nicola Maggiore and Nicodemo Magnoli and Maura Sassetti},
journal= {arXiv preprint arXiv:0804.0164},
year = {2008}
}
Comments
13 pages