The 3D +-J Ising model at the ferromagnetic transition line
| dc.creator | Hasenbusch, Martin | |
| dc.creator | Toldin, Francesco Parisen | |
| dc.creator | Pelissetto, Andrea | |
| dc.creator | Vicari, Ettore | |
| dc.date | 2007-04-03 | |
| dc.date.accessioned | 2026-07-07T08:28:04Z | |
| dc.date.available | 2026-07-07T08:28:04Z | |
| dc.description | We study the critical behavior of the three-dimensional $\pm J$ Ising model [with a random-exchange probability $P(J_{xy}) = p δ(J_{xy} - J) + (1-p) δ(J_{xy} + J)$] at the transition line between the paramagnetic and ferromagnetic phase, which extends from $p=1$ to a multicritical (Nishimori) point at $p=p_N\approx 0.767$. By a finite-size scaling analysis of Monte Carlo simulations at various values of $p$ in the region $p_N<p<1$, we provide strong numerical evidence that the critical behavior along the ferromagnetic transition line belongs to the same universality class as the three-dimensional randomly-dilute Ising model. We obtain the results $ν=0.682(3)$ and $η=0.036(2)$ for the critical exponents, which are consistent with the estimates $ν=0.683(2)$ and $η=0.036(1)$ at the transition of randomly-dilute Ising models. | |
| dc.description | 23 pages, 12 figs | |
| dc.identifier | https://arxiv.org/abs/0704.0427 | |
| dc.identifier | http://arxiv.org/abs/0704.0427 | |
| dc.identifier | Phys. Rev. B 76 (2007) 094402 | |
| dc.identifier | doi:10.1103/PhysRevB.76.094402 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/137485 | |
| dc.subject | Disordered Systems and Neural Networks | |
| dc.subject | Statistical Mechanics | |
| dc.title | The 3D +-J Ising model at the ferromagnetic transition line | |
| dc.type | text |