The $θ$ vacuum reveals itself as the fundamental theory of the quantum Hall effect. I. Confronting controversies
| dc.creator | Pruisken, A. M. M. | |
| dc.creator | Baranov, M. A. | |
| dc.creator | Voropaev, M. | |
| dc.date | 2002-06-01 | |
| dc.date.accessioned | 2026-07-07T02:45:43Z | |
| dc.date.available | 2026-07-07T02:45:43Z | |
| dc.description | The $θ$ dependence of the Grassmannian $U(m+n)/U(m)\times U(n)$ non-linear $σ$ model is reexamined. This general theory provides an important laboratory for studying the quantum Hall effect, in the special limit $m=n=0$ (replica limit). We discover however that the quantum Hall effect is in fact independent of this limit and exists as a generic topological feature of the theory for all non-negative values of $m$ and $n$. The results are in concflict with many of the historical ideas and expectations on the basis of the large $N$ expansion of the $CP^{N-1}$ or $SU(N)/U(N-1)$ model | |
| dc.description | 4 RevTex pages and 2 figures | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0206011 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0206011 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/19400 | |
| dc.subject | Mesoscale and Nanoscale Physics | |
| dc.title | The $θ$ vacuum reveals itself as the fundamental theory of the quantum Hall effect. I. Confronting controversies | |
| dc.type | text |