Gas Phase of Asymmetric Nearest Neighbor Ising Model


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Abstract

We consider an asymmetric d-dimensional, d>1, Ising model with the pair interaction I in one direction different from the pair interaction J in all other directions. We show that for any inverse temperature β the system is in the gas phase as soon as |J|<Cβ−1d−2(1−tanh(β |I|)) with C>0 being a small numeric constant.

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