Phase diagrams of soluble multi-spin glass models

P.T. Muzy, A.P. Vieira and S.R. Salinas

Physica A: Statistical Mechanics and its Applications, 2006, vol. 359, issue C, 469-477

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⩾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.

Keywords: p-spin models; Spin-glass models; Spherical spin glass (search for similar items in EconPapers)
Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:359:y:2006:i:c:p:469-477

DOI: 10.1016/j.physa.2005.05.091

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