Nonperturbative Renormalization Group Function for Quantum Hall Plateau Transitions Imposed by Global Symmetries
| dc.creator | Taniguchi, Nobuhiko | |
| dc.date | 1998-10-26 | |
| dc.date.accessioned | 2026-07-07T03:11:49Z | |
| dc.date.available | 2026-07-07T03:11:49Z | |
| dc.description | As a unified theory of integer and fractional quantum Hall plateau transitions, a nonperturbative theory of the two-parameter scaling renormalization group function is presented. By imposing global symmetries known as ``the law of corresponding states'', we seek a possible form of renormalization group flows. Asking for consistency with the result from weak-localization perturbation theory, such restriction is so intense that we can analytically determine its concrete form. Accordingly, the critical exponent $ν$ and the irrelevant scaling index $y$ are obtained analytically and turn out to be irrational. Their values ($ν\approx 2.1$, $y\approx 0.3$) agree favorably well with experiments and numerics. | |
| dc.description | 4 pages, REVTeX + multicol.sty | |
| dc.identifier | https://arxiv.org/abs/cond-mat/9810334 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/9810334 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/28721 | |
| dc.subject | Mesoscale and Nanoscale Physics | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Nonperturbative Renormalization Group Function for Quantum Hall Plateau Transitions Imposed by Global Symmetries | |
| dc.type | text |