Replica symmetry breaking in the Ising spin glass model on Bethe-like lattices with loop

Terufumi Yokota

Physica A: Statistical Mechanics and its Applications, 2007, vol. 379, issue 2, 534-544

Abstract: The Ising spin glass model on Bethe-like lattices (cactus lattices) is studied using replicas in the presence of a magnetic field. Parisi's order parameter function and the de Almeida–Thouless (AT) line are obtained close to the spin glass transition temperature. The results are compared with those for the Bethe lattice to see the effects of loops. The slope of the order parameter function diminishes considerably for both lattices compared with that for the Sherrington–Kirkpatrick (SK) model. The loci of the AT line for the cactus lattices and the Bethe lattice are above and below that for the SK model, respectively.

Keywords: Ising spin glass; Bethe-like lattice; Replica symmetry breaking; AT line (search for similar items in EconPapers)
Date: 2007
References: View complete reference list from CitEc
Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:379:y:2007:i:2:p:534-544

DOI: 10.1016/j.physa.2006.11.094

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