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Investigation of the effect of frustration on the critical properties of the 3D Heisenberg antiferromagnetic model

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Abstract

The critical properties of the 3D frustrated Heisenberg model on a layered triangular lattice with a variable interlayer exchange interaction are investigated for the ratio of the constants of the interlayer (J′) and intralayer ( J ) interactions that ranges within the interval R = | J′/J| = 0.01…1. The finite-dimensional scaling theory is applied for the calculation of all of the main static magnetic and chiral critical indexes. It is shown that the 3D frustrated Heisenberg model on a layered triangular lattice forms a new universality class of critical behavior. It is found that the universality class of this model’s critical behavior is retained for values of R as small as R = 0.05.

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Original Russian Text © A.K. Murtazaev, M.K. Ramazanov, M.K. Badiev, 2009, published in Radiotekhnika i Elektronika, 2009, Vol. 54, No. 2, pp. 202–207.

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Murtazaev, A.K., Ramazanov, M.K. & Badiev, M.K. Investigation of the effect of frustration on the critical properties of the 3D Heisenberg antiferromagnetic model. J. Commun. Technol. Electron. 54, 191–196 (2009). https://doi.org/10.1134/S1064226909020107

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  • DOI: https://doi.org/10.1134/S1064226909020107

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