Criticality of two- and three-spin Ising model in an external field on a fractal family

JoséArnaldo Redinz and AglaéCristina Navarro de Magalhães

Physica A: Statistical Mechanics and its Applications, 1997, vol. 246, issue 1, 27-44

Abstract: We study the Ising model with pair and alternate triplet interactions subjected to an external magnetic field on a family of infinitely ramified fractal lattices with a triangular topology. The three-dimensional phase diagram and correlation length critical exponents are calculated within an exact real-space renormalization group framework. The zero-field results for the ferromagnetic model show that, although the pure triplet case and the pure nearest-neighbor pair interaction model are in different universality classes, there is no crossover phenomenon since the system becomes paramagnetic in the mixed case. In the pure nearest-neighbor antiferromagnetic model, the appearance of an unusual Berker and Kadanoff's-phase type (with a power-law decay of correlations) when the fractal dimension is sufficiently high is destroyed by the application of a magnetic field or a triplet interaction field.

Keywords: Ising model; Criticality; Fractal lattice (search for similar items in EconPapers)
Date: 1997
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:246:y:1997:i:1:p:27-44

DOI: 10.1016/S0378-4371(97)00361-0

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