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The $ heta$ vacuum reveals itself as the fundamental theory of the quantum Hall effect. I. Confronting controversies | | A.M.M. Pruisken
; M.A. Baranov
; M. Voropaev
; | | Date: |
1 Jun 2002 | | Subject: | Mesoscopic Systems and Quantum Hall Effect | cond-mat.mes-hall | | Abstract: | The $ heta$ dependence of the Grassmannian $U(m+n)/U(m) imes U(n)$ non-linear $sigma$ 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 | | Source: | arXiv, cond-mat/0206011 | | Services: | Forum | Review | PDF | Favorites | |
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