Search for Kosterlitz-Thouless transition in a triangular Ising antiferromagnet with further-neighbour ferromagnetic interactions
نویسندگان
چکیده
We investigate an antiferromagnetic triangular Ising model with anisotropic ferromagnetic interactions between next-nearest neighbours, originally proposed by Kitatani and Oguchi (J. Phys. Soc. Japan 57, 1344 (1988)). The phase diagram as a function of temperature and the ratio between firstand secondneighbour interaction strengths is thoroughly examined. We search for a Kosterlitz-Thouless transition to a state with algebraic decay of correlations, calculating the correlation lengths on strips of width up to 15 sites by transfer-matrix methods. Phenomenological renormalization, conformal invariance arguments, the Roomany-Wyld approximation and a direct analysis of the scaled mass gaps are used. Our results provide limited evidence that a Kosterlitz-Thouless phase is present. Alternative scenarios are discussed. PACS numbers: 75.30.Kz, 75.10.Hk, 05.50+q Typeset using REVTEX
منابع مشابه
Field-induced Kosterlitz-Thouless transition in the zero-temperature triangular Ising antiferromagnet.
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