Phase diagrams of soluble multi-spin glass models

P. T. Muzy; A. P. Vieira; S. R. Salinas

doi:10.1016/j.physa.2005.05.091

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Phase diagrams of soluble multi-spin glass models

P. T. Muzy·A. P. Vieira·S. R. Salinas

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Abstract

We include p-spin interactions in a spherical version of a soluble mean-field spin-glass model proposed by van Hemmen. Due to the simplicity of the solutions, which do not require the use of the replica trick, we are able to carry out a detailed investigation of a number of special situations. For p larger or equal to 3, there appear first-order transitions between the paramagnetic and the ordered phases. In the presence of additional ferromagnetic interactions, we show that there is no stable mixed phase, with both ferromagnetic and spin-glass properties.

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P. T. Muzy, A. P. Vieira, S. R. Salinas. 2005-05-23. Phase diagrams of soluble multi-spin glass models. https://doi.org/10.1016/j.physa.2005.05.091

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