Multifractality at the quantum Hall transition: Beyond the parabolic paradigm
| dc.creator | Evers, F. | |
| dc.creator | Mildenberger, A. | |
| dc.creator | Mirlin, A. D. | |
| dc.date | 2008-04-15 | |
| dc.date.accessioned | 2026-07-07T10:01:11Z | |
| dc.date.available | 2026-07-07T10:01:11Z | |
| dc.description | We present an ultra-high-precision numerical study of the spectrum of multifractal exponents $Δ_q$ characterizing anomalous scaling of wave function moments $<|ψ|^{2q}>$ at the quantum Hall transition. The result reads $Δ_q = 2q(1-q)[b_0 + b_1(q-1/2)^2 + ...]$, with $b_0 = 0.1291\pm 0.0002$ and $b_1 = 0.0029\pm 0.0003$. The central finding is that the spectrum is not exactly parabolic, $b_1\ne 0$. This rules out a class of theories of Wess-Zumino-Witten type proposed recently as possible conformal field theories of the quantum Hall critical point. | |
| dc.description | 4 pages, 4 figures | |
| dc.identifier | https://arxiv.org/abs/0804.2334 | |
| dc.identifier | http://arxiv.org/abs/0804.2334 | |
| dc.identifier | Phys. Rev. Lett. 101, 116803 (2008) | |
| dc.identifier | doi:10.1103/PhysRevLett.101.116803 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/168549 | |
| dc.subject | Mesoscale and Nanoscale Physics | |
| dc.subject | Disordered Systems and Neural Networks | |
| dc.title | Multifractality at the quantum Hall transition: Beyond the parabolic paradigm | |
| dc.type | text |