Van Enter, Aernout C. D.; Romano, Silvano; Zagrebnov, Valentin A. First-order transitions for some generalized \(XY\) models. (English) Zbl 1122.82013 J. Phys. A, Math. Gen. 39, No. 26, L439-L445 (2006). Summary: We demonstrate the occurrence of first-order transitions in temperature for some recently introduced generalized \(XY\) models, and also point out the connection between them and annealed site-diluted (lattice-gas) continuous-spin models. Cited in 1 Document MSC: 82B26 Phase transitions (general) in equilibrium statistical mechanics 82B20 Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics PDFBibTeX XMLCite \textit{A. C. D. Van Enter} et al., J. Phys. A, Math. Gen. 39, No. 26, L439--L445 (2006; Zbl 1122.82013) Full Text: DOI arXiv