Quasi-long-range ordering in a finite-size 2D Heisenberg model

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dc.creatorKapikranian, Oleksandr
dc.creatorBerche, Bertrand
dc.creatorHolovatch, Yurij
dc.date2006-11-24
dc.date.accessioned2026-07-07T10:22:20Z
dc.date.available2026-07-07T10:22:20Z
dc.descriptionWe analyse the low-temperature behaviour of the Heisenberg model on a two-dimensional lattice of finite size. Presence of a residual magnetisation in a finite-size system enables us to use the spin wave approximation, which is known to give reliable results for the XY model at low temperatures T. For the system considered, we find that the spin-spin correlation function decays as 1/r^eta(T) for large separations r bringing about presence of a quasi-long-range ordering. We give analytic estimates for the exponent eta(T) in different regimes and support our findings by Monte Carlo simulations of the model on lattices of different sizes at different temperatures.
dc.description9 pages, 3 postscript figs, style files included
dc.identifierhttps://arxiv.org/abs/hep-th/0611264
dc.identifierhttp://arxiv.org/abs/hep-th/0611264
dc.identifierJ.Phys.A40:3741-4748,2007
dc.identifierdoi:10.1088/1751-8113/40/14/001
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/175481
dc.subjectHigh Energy Physics - Theory
dc.subjectStatistical Mechanics
dc.subjectHigh Energy Physics - Lattice
dc.titleQuasi-long-range ordering in a finite-size 2D Heisenberg model
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