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

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1996-02-01
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American Physical Society
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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 s model with nearest- and next-nearest neighbors couplings in a cubic lattice; (2) a face-centered-cubic lattice with nearest-neighbor 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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© 1996 The American Physical Society. We thank Gabriel Álvarez Galindo, Alan Sokal, and Arjan Van der Sijs for useful discussions. This work was partially supported by CICyT AEN93-0604, AEN94-0218, and AEN93-0776.
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