Groupe de Physique Statistique

Equipe 106, Institut Jean Lamour

                     
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Articles dans des revues à comité de lecture

Quasi-long-range ordering in a finite-size 2D Heisenberg model
Kapikranian O., Berche B. and Holovatch Yu.
J. Phys. A: Math. Theor. 40 (2007) 3741
DOI : 10.1088/1751-8113/40/14/001
ArXiv : hep-lat/0611264 [PDF]

We 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.



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