Abstract
The present paper is a continuation of ref. 4, where the truncated two-point correlation function for a class of lattice spin systems was proved to have exponential decay at low temperature, under a weak coupling assumption. In this paper we compute the asymptotics of the correlation function as the temperature goes to zero. This paper thus extends ref. 3 in two directions: The Hamiltonian function is allowed to have several local minima other than a unique global minimum, and we do not require translation invariance of the Hamiltonian function. We are in particular able to handle spin systems on a general lattice.
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Bach, V., Møller, J.S. Correlation at Low Temperature: II. Asymptotics. Journal of Statistical Physics 116, 591–628 (2004). https://doi.org/10.1023/B:JOSS.0000037236.34145.20
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DOI: https://doi.org/10.1023/B:JOSS.0000037236.34145.20