Critical level spacing distribution in long-range hopping Hamiltonians
| dc.creator | Cuevas, E. | |
| dc.date | 2003-10-31 | |
| dc.date | 2004-06-29 | |
| dc.date.accessioned | 2026-07-07T02:54:32Z | |
| dc.date.available | 2026-07-07T02:54:32Z | |
| dc.description | The nearest level spacing distribution $P_c(s)$ of $d$-dimensional disordered models ($d=1$ and 2) with long-range random hopping amplitudes is investigated numerically at criticality. We focus on both the weak ($b^d \gg 1$) and the strong ($b^d \ll 1$) coupling regime, where the parameter $b^{-d}$ plays the role of the coupling constant of the model. It is found that $P_c(s)$ has the asymptotic form $P_c(s)\sim\exp [-A_ds^α]$ for $s\gg 1$, with the critical exponent $α=2-a_d/b^d$ in the weak coupling limit and $α=1+c_d b^d$ in the case of strong coupling. | |
| dc.description | EPL style, 7 pages, 4 .eps figures, to be published in Europhys. Lett | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0310774 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0310774 | |
| dc.identifier | Europhys. Lett. 67, 84 (2004) | |
| dc.identifier | doi:10.1209/epl/i2004-10048-2 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/22587 | |
| dc.subject | Disordered Systems and Neural Networks | |
| dc.subject | Mesoscale and Nanoscale Physics | |
| dc.title | Critical level spacing distribution in long-range hopping Hamiltonians | |
| dc.type | text |