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The quantum Hall plateau transition at order 1/N | | Joel E. Moore
; A. Zee
; Jairo Sinova
; | | Date: |
19 Dec 2000 | | Subject: | Mesoscopic Systems and Quantum Hall Effect | cond-mat.mes-hall | | Abstract: | The localization behavior of noninteracting two-dimensional electrons in a random potential and strong magnetic field is of fundamental interest for the physics of the quantum Hall effect. In order to understand the emergence of power-law delocalization near the discrete extended-state energies $E_n = hbar omega_c (n+{1/2})$, we study a generalization of the disorder-averaged Liouvillian framework for the lowest Landau level to $N$ flavors of electron densities (N=1 for the physical case). We find analytically the large-N limit and 1/N corrections for all disorder strengths: at $N = infty$ this gives an estimate of the critical conductivity, and at order 1/N an estimate of the localization exponent $
u$. The localization properties of the analytically tractable $N gg 1$ theory seem to be continuously connected to those of the exact quantum Hall plateau transition at $N = 1$. | | Source: | arXiv, cond-mat/0012341 | | Services: | Forum | Review | PDF | Favorites | |
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