On the phase diagram of the 2d Ising model with frustrating dipole interaction

P. Sarkanych; Yu. Holovatch; R. Kenna

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arXiv · 1402.4993

On the phase diagram of the 2d Ising model with frustrating dipole interaction

P. Sarkanych·Yu. Holovatch·R. Kenna

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Abstract

Due to intrinsic frustrations of interaction, the 2d Ising model with competing ferromagnetic short-range nearest-neighbour and antiferromagnetic long-range dipole interactions possesses a rich phase diagram. The order of the phase transition from the striped h=1 phase to the tetragonal phase that is observed in this model has been a subject of recent controversy. We address this question using the partition function density analysis in the complex temperature plane. Our results support the second-order phase transition scenario. To measure the strength of the phase transition we calculate the values of the specific heat critical exponent $\alpha$. Along with the space dimension D, it appears to depend on the ratio of strength of the short-range and long-range interactions.

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P. Sarkanych, Yu. Holovatch, R. Kenna. 2014-02-20. On the phase diagram of the 2d Ising model with frustrating dipole interaction. https://arxiv.org/abs/1402.4993

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