Exact spin–spin correlation functions of Bethe lattice Ising and BEG models in external fields

N.Sh Izmailian and Chin-Kun Hu

Physica A: Statistical Mechanics and its Applications, 1998, vol. 254, issue 1, 198-206

Abstract: We develop a transfer matrix method to compute exactly the spin–spin correlation functions for Bethe lattice Ising model and Blume–Emery–Griffiths (BEG) model in the external magnetic field h and for any temperature T. The correlation length ξ(T,h) obtained from the spin–spin correlation function shows interesting scaling and divergent behavior as h→0 and T approaches the critical temperature Tc.

Keywords: Correlation function; Bethe lattice; Ising model (search for similar items in EconPapers)
Date: 1998
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:254:y:1998:i:1:p:198-206

DOI: 10.1016/S0378-4371(98)00193-9

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