Two-level correlation function of critical random-matrix ensembles
| dc.creator | Cuevas, E. | |
| dc.date | 2004-04-20 | |
| dc.date | 2005-01-25 | |
| dc.date.accessioned | 2026-07-07T02:57:44Z | |
| dc.date.available | 2026-07-07T02:57:44Z | |
| dc.description | The two-level correlation function $R_{d,β}(s)$ of $d$-dimensional disordered models ($d=1$, 2, and 3) with long-range random-hopping amplitudes is investigated numerically at criticality. We focus on models with orthogonal ($β=1$) or unitary ($β=2$) symmetry in 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 $R_{d,β}(s)$ is of the form $R_{d,β}(s)=1+δ(s)-F_β(s^β/b^{dβ})$, where $F_{1}(x)=\text{erfc}(a_{d,β} x)$ and $F_{2}(x)=\exp (-a_{d,β} x^2)$, with $a_{d,β}$ being a numerical coefficient depending on the dimensionality and the universality class. Finally, the level number variance and the spectral compressibility are also considerded. | |
| dc.description | RevTex4, 7 two-column pages, 6 .eps figures, 1 table. A new section devoted to the spectral compressibility added. To be published in Phys. Rev. B | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0404474 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0404474 | |
| dc.identifier | Phys. Rev. B 71, 024205 (2005) | |
| dc.identifier | doi:10.1103/PhysRevB.71.024205 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/23784 | |
| dc.subject | Disordered Systems and Neural Networks | |
| dc.subject | Mesoscale and Nanoscale Physics | |
| dc.title | Two-level correlation function of critical random-matrix ensembles | |
| dc.type | text |