Abstract
In this work we have used extensive Monte Carlo simulations and finite size scaling theoryto study the phase transition in the dipolar planar rotator model (dPRM), also known asdipolar XY model. The true long-range character of the dipolar interactions wastaken into account by using the Ewald summation technique. Our results for thecritical exponents do not fit those from known universality classes. We observedthat the specific heat is apparently non-divergent and the critical exponents areν = 1.277(2),β = 0.2065(4) andγ = 2.218(5). The critical temperaturewas found to be Tc = 1.201(1). Our results are clearly distinct from those of a recent renormalization group study fromMaier and Schwabl (2004 Phys. Rev. B 70 134430) and agrees with the results from aprevious study of the anisotropic Heisenberg model with dipolar interactions in a bilayersystem using a cut-off in the dipolar interactions (Mól and Costa 2009 Phys. Rev. B 79054404).
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