Properties of the multicritical point of +/- J Ising spin glasses on the square lattice
| dc.creator | Lessa, Jean C. | |
| dc.creator | de Queiroz, S. L. A. | |
| dc.date | 2006-05-26 | |
| dc.date | 2006-09-22 | |
| dc.date.accessioned | 2026-07-07T07:09:13Z | |
| dc.date.available | 2026-07-07T07:09:13Z | |
| dc.description | We use numerical transfer-matrix methods to investigate properties of the multicriticalpoint of binary Ising spin glasses on a square lattice, whose location we assume to be given exactly by a conjecture advanced by Nishimori and Nemoto. We calculate the two largest Lyapunov exponents, as well as linear and non-linear zero-field uniform susceptibilities, on strip of widths $4 \leq L \leq 16$ sites, from which we estimate the conformal anomaly $c$, the decay-of-correlations exponent $η$, and the linear and non-linear susceptibility exponents $γ/ν$ and $γ^{nl}/ν$, with the help of finite-size scaling and conformal invariance concepts. Our results are: $c=0.46(1)$; $0.187 \lesssim η\lesssim 0.196$; $γ/ν=1.797(5)$; $γ^{nl}/ν=5.59(2)$. A direct evaluation of correlation functions on the strip geometry, and of the statistics of the zeroth moment of the associated probability distribution, gives $η=0.194(1)$, consistent with the calculation via Lyapunov exponents. Overall, these values tend to be inconsistent with the universality class of percolation, though by small amounts. The scaling relation $γ^{nl}/ν=2 γ/ν+d$ (with space dimensionality $d=2$) is obeyed to rather good accuracy, thus showing no evidence of multiscaling behavior of the susceptibilities. | |
| dc.description | RevTeX 4, 7 pages, 4 .eps figures; final version, to be published in Physical Review B (2006) | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0605659 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0605659 | |
| dc.identifier | Physical Review B 74, 134424 (2006) | |
| dc.identifier | doi:10.1103/PhysRevB.74.134424 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/110983 | |
| dc.subject | Statistical Mechanics | |
| dc.subject | Disordered Systems and Neural Networks | |
| dc.title | Properties of the multicritical point of +/- J Ising spin glasses on the square lattice | |
| dc.type | text |