Absence of phase transitions in a class of integer spin systems

Details Absence of phase transitions in a class of integer spin systems Absence of phase transitions in a class of integer spin systems

2009-07-30

arxiv.org/abs/0907.5432v1

Physics

Mathematical Physics

Scientific paper

We exhibit a class of integer spin systems whose free energy can be written in term of an absolutely convergent series at any temperature. This class includes spin systems on $\Z^d$ interacting through infinite range pair potential polynomially decaying at large distances $r$ at a rate $1/r^{d+\e}$ with $\e>0$. It also contains the Blume-Emery-Griffiths model in the disordered phase at large values of the crystal field.

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