Phase diagrams of soluble multi-spin glass models

Details Phase diagrams of soluble multi-spin glass models Phase diagrams of soluble multi-spin glass models

2005-05-23

arxiv.org/abs/cond-mat/0505566v1

Physica A 359, 469 (2006)

Physics

Condensed Matter

Disordered Systems and Neural Networks

To appear in Physica A

Scientific paper

10.1016/j.physa.2005.05.091

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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