Wave function statistics at the symplectic 2D Anderson transition: bulk properties
| dc.creator | Mildenberger, A. | |
| dc.creator | Evers, F. | |
| dc.date | 2006-08-25 | |
| dc.date | 2007-01-08 | |
| dc.date.accessioned | 2026-07-07T07:38:45Z | |
| dc.date.available | 2026-07-07T07:38:45Z | |
| dc.description | The wavefunction statistics at the Anderson transition in a 2d disordered electron gas with spin-orbit coupling is studied numerically. In addition to highly accurate exponents ($α_0{=}2.172\pm 0.002, τ_2{=}1.642\pm 0.004$), we report three qualitative results: (i) the anomalous dimensions are invariant under $q\to (1-q)$ which is in agreement with a recent analytical prediction and supports the universality hypothesis. (ii) The multifractal spectrum is not parabolic and therefore differs from behavior suspected, e.g., for (integer) quantum Hall transitions in a fundamental way. (iii) The critical fixed point satisfies conformal invariance. | |
| dc.description | 4 pages, 3 figures | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0608560 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0608560 | |
| dc.identifier | Phys. Rev. B 75, 041303(R) (2007) | |
| dc.identifier | doi:10.1103/PhysRevB.75.041303 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/121202 | |
| dc.subject | Mesoscale and Nanoscale Physics | |
| dc.subject | Disordered Systems and Neural Networks | |
| dc.title | Wave function statistics at the symplectic 2D Anderson transition: bulk properties | |
| dc.type | text |