Monte Carlo Study of Correlations Near the Ground State of the Triangular Antiferromagnetic Ising Model
| dc.creator | Jacobsen, Jesper Lykke | |
| dc.creator | Fogedby, Hans C. | |
| dc.date | 1997-06-11 | |
| dc.date.accessioned | 2026-07-07T09:11:50Z | |
| dc.date.available | 2026-07-07T09:11:50Z | |
| dc.description | We study the spin-spin correlation function in or near the T=0 ground state of the antiferromagnetic Ising model on a triangular lattice. At zero temperature its modulation on the sublattices gives rise to two Bragg peaks in the structure factor, and a known expression for the algebraic decay of correlations enables us to examine the form of the diffusive scattering. We do so by means of a comparison between exact results and data calculated using standard Monte Carlo techniques. At non-zero temperatures the finite correlation length alters this form, and we account for the change by proposing a generalisation of the zero temperature pair correlation function. The size dependence of our simulation data is investigated through a novel finite-size scaling analysis where t = exp(-2/T) is used as the temperature parameter. | |
| dc.description | 14 pages (RevTeX) and 11 ps-figures. Accepted for publication in Physica A | |
| dc.identifier | https://arxiv.org/abs/cond-mat/9706098 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/9706098 | |
| dc.identifier | Physica A 246, 563 (1997). | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/151821 | |
| dc.subject | Statistical Mechanics | |
| dc.title | Monte Carlo Study of Correlations Near the Ground State of the Triangular Antiferromagnetic Ising Model | |
| dc.type | text |