Phase transitions and topology in 2+k XY mean-field models

Details Phase transitions and topology in 2+k XY mean-field models Phase transitions and topology in 2+k XY mean-field models

2007-11-07

arxiv.org/abs/0711.1085v1

Phys. Rev. E 76, 051119 (2007)

Physics

Condensed Matter

Statistical Mechanics

7 pages, 9 figures

Scientific paper

10.1103/PhysRevE.76.051119

The thermodynamics and topology of mean-field models with 2+k body interaction terms (generalizing XY model) are derived. Focusing on two particular cases (2+4 and 2+6 body interaction terms), a comparison between thermodynamic (phase transition energy, thermodynamically forbidden energy regions) and topological (singularity and curvature of saddle entropy) properties is performed. We find that i) a topological change is present at the phase transition energy; however, ii) only one topological change occurs, also for those models exhibiting two phase transitions; iii) the order of a phase transition is not completely signaled by the curvature of topological quantities.

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