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A Monte Carlo study of O(3) antiferromagnetic models in three dimensions

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arxiv cond-mat/9507071 v1 pith:7233PS3I submitted 1995-07-18 cond-mat hep-lat

A Monte Carlo study of O(3) antiferromagnetic models in three dimensions

J. L. Alonso , A. Tarancon (Universidad de Zaragoza) , H. G. Ballesteros , L.A. Fernandez , V. Martin-Mayor , A. Munoz Sudupe (Universidad Complutense de Madrid) This is my paper
classification cond-mat hep-lat
keywords cubiclatticenearestthreeantiferromagneticcarlocouplingsdimensions
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We study three antiferromagnetic formulations of the O(3) spin model in three dimensions by means of Monte Carlo simulations: 1. a two parameter $\sigma$ model with nearest and next to nearest neighbors couplings in a cubic lattice; 2. a face centered cubic lattice with nearest neighbors interaction; 3. a cubic lattice with a set of fully frustrating couplings. We discuss in all cases the vacua properties and analyze the phase transitions. Using Finite Size Scaling analysis we conclude that all phase transitions found are of first order.

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