A simple view on the quantum Hall system

Emil J. Bergholtz, Anders Karlhede

Published 2006-11-07, updated 2007-07-24Version 2

The physics of the quantum Hall system becomes very simple when studied on a thin torus. Remarkably, however, the very rich structure still exists in this limit and there is a continuous route to the bulk system. Here we review recent progress in understanding various features of the quantum Hall system in terms of a simple one-dimensional model corresponding to the thin torus.