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• W2071509264 abstract "We study complex-temperature singularities of the Ising model on the triangular and honeycomb lattices. We first discuss the complex-T phases and their boundaries. From exact results, we determine the complex-T singularities in the specific heat and magnetization. For the triangular lattice we discuss the implications of the divergence of the magnetization at the point (where ) and extend a previous study by Guttmann of the susceptibility at this point with the use of differential approximants. For the honeycomb lattice, from an analysis of low-temperature series expansions, we have found evidence that the uniform and staggered susceptibilities and both have divergent singularities at , and our numerical values for the exponents are consistent with the hypothesis that the exact values are . The critical amplitudes at this singularity were calculated. Using our exact results for and together with numerical values for from series analyses, we find that the exponent relation is violated at z = -1 on the honeycomb lattice; the right-hand side is consistent with being equal to 4 rather than 2. The connections of the critical exponents at these two singularities on the triangular and honeycomb lattice are discussed." @default.
• W2071509264 created "2016-06-24" @default.
• W2071509264 creator A5013833999 @default.
• W2071509264 creator A5085941621 @default.
• W2071509264 date "1996-02-21" @default.
• W2071509264 modified "2023-09-27" @default.
• W2071509264 title "Complex-temperature singularities in thed= 2 Ising model: triangular and honeycomb lattices" @default.
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• W2071509264 doi "https://doi.org/10.1088/0305-4470/29/4/009" @default.
• W2071509264 hasPublicationYear "1996" @default.
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