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math-ph2006★ 23 cited
First-order transitions for some generalized XY models
Aernout Van Enter, Silvano Romano, Valentin Zagrebnov
In this note we demonstrate the occurrence of first-order transitions in temperature for some recently introduced generalized XY models, and also point out the connection between t…
math-ph2006★ 13 cited
Bose-Einstein Condensation in the Luttinger-Sy Model
Olivier Lenoble, Valentin Zagrebnov
We present a rigorous study of the Bose-Einstein condensation in the Luttinger-Sy model. We prove the existence of the condensation in this one-dimensional model of the perfect bos…