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

Yokota, Terufumi

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.

Language	:	English
Journal	:	Physica A
Volume	:	379
Number	:	2
Pages	:	p.534 - 544
Publication Year/Month	:	2007/06
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Paper URL	:	https://doi.org/10.1016/j.physa.2006.11.094
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Keywords	:	no keyword
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Registration No. : AA20070087
JAEA Abstracts No. : 35001192
Paper Submission No. : 2781

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