Fractional Quantum Hall Effect from Anomalies in WZNW Model
High Energy Physics - Theory
2009-10-28 v3 Condensed Matter
High Energy Physics - Phenomenology
Abstract
An approach to understand Fractional Quantum Hall Effect (FQHE) using anomalies is studied in this paper. More specifically, this is done by looking at the anomaly in the current conservation equation of a WZNW theory describing fields living at the edge of the two dimensional Hall sample. This WZNW theory itself comes from the non-Abelian bosonisation of fermions living at the edge. It is shown that this model can describe both integer and fractional quantization of conductivities in a unified manner.
Cite
@article{arxiv.hep-th/9402128,
title = {Fractional Quantum Hall Effect from Anomalies in WZNW Model},
author = {L. Chandar},
journal= {arXiv preprint arXiv:hep-th/9402128},
year = {2009}
}
Comments
14 pages, SU-4240-569