Two-Parameter Scaling Law of the Anderson Transition
| dc.creator | Cerovski, Viktor Z. | |
| dc.date | 2007-03-03 | |
| dc.date.accessioned | 2026-07-07T07:49:59Z | |
| dc.date.available | 2026-07-07T07:49:59Z | |
| dc.description | It is shown that the Anderson transition (AT) in 3d obeys a two-parameter scaling law, derived from a pair of anisotropic scaling transformations, and corresponding critical exponents and scaling function calculated, using a high-precision numerical finite-size scaling study of the smallest Lyapunov exponent of quasi-1d systems of rectangular cross-section of L times l atoms in the limit of infinite L and l < L, for x=l/L ranging from 1/30 to 1/4. The second parameter is x, and there are two singularities: apart from the two-parameter scaling describing AT for x>0, corrections to scaling due to the irrelevant scaling field diverge when x->0, and the corresponding crossover length scale is also estimated. Furthermore, results suggest that the signatures of the AT in 3d should be present also in 2d strongly localized regime. | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0703090 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0703090 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/125026 | |
| dc.subject | Mesoscale and Nanoscale Physics | |
| dc.subject | Strongly Correlated Electrons | |
| dc.title | Two-Parameter Scaling Law of the Anderson Transition | |
| dc.type | text |