A constrained Potts antiferromagnet model with an interface representation

Autor:	Christopher L. Henley, J. K. Burton
Rok vydání:	1997
Předmět:	Physics Spins Gaussian Monte Carlo method Phase (waves) General Physics and Astronomy Statistical and Nonlinear Physics Square lattice symbols.namesake symbols Antiferromagnetism Statistical physics Condensed Matter - Statistical Mechanics Mathematical Physics Spin-½ Potts model
Zdroj:	Journal of Physics A: Mathematical and General. 30:8385-8413
ISSN:	1361-6447 0305-4470
DOI:	10.1088/0305-4470/30/24/007
Popis:	We define a four-state Potts model ensemble on the square lattice, with the constraints that neighboring spins must have different values, and that no plaquette may contain all four states. The spin configurations may be mapped into those of a 2-dimensional interface in a 2+5 dimensional space. If this interface is in a Gaussian rough phase (as is the case for most other models with such a mapping), then the spin correlations are critical and their exponents can be related to the stiffness governing the interface fluctuations. Results of our Monte Carlo simulations show height fluctuations with an anomalous dependence on wavevector, intermediate between the behaviors expected in a rough phase and in a smooth phase; we argue that the smooth phase (which would imply long-range spin order) is the best interpretation. Comment: 61 pages, LaTeX. Submitted to J. Phys. A
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d22885737bbf4886885bead2d3adfae1 https://doi.org/10.1088/0305-4470/30/24/007 Zobrazit plný text záznamu