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



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Ballesteros, H. G. and Fernández Pérez, Luis Antonio and Martín Mayor, Víctor and Muñoz Sudupe, Antonio (1996) Monte Carlo study of O(3) antiferromagnetic models in three dimensions. Physical review B, 53 (5). pp. 2537-2545. ISSN 0163-1829

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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.

Uncontrolled Keywords:Spin-1/2 Heisenberg-antiferromagnet; Frustrated quantum antiferromagnets; Valence-bond; Phase-transitions; Square lattice; Ground-states; Neel state; Order; Peierls; Systems.
Subjects:Sciences > Physics
Sciences > Physics > Physics-Mathematical models
ID Code:41482
Deposited On:23 Feb 2017 13:13
Last Modified:23 Feb 2017 13:13

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