Location of the Multicritical Point for the Ising Spin Glass on the Triangular and Hexagonal Lattices

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dc.creatorNishimori, Hidetoshi
dc.creatorOhzeki, Masayuki
dc.date2006-01-17
dc.date2006-03-10
dc.date.accessioned2026-07-07T06:57:36Z
dc.date.available2026-07-07T06:57:36Z
dc.descriptionA conjecture is given for the exact location of the multicritical point in the phase diagram of the +/- J Ising model on the triangular lattice. The result p_c=0.8358058 agrees well with a recent numerical estimate. From this value, it is possible to derive a comparable conjecture for the exact location of the multicritical point for the hexagonal lattice, p_c=0.9327041, again in excellent agreement with a numerical study. The method is a variant of duality transformation to relate the triangular lattice directly with its dual triangular lattice without recourse to the hexagonal lattice, in conjunction with the replica method.
dc.description9 pages, 1 figure; Minor corrections in notation
dc.identifierhttps://arxiv.org/abs/cond-mat/0601356
dc.identifierhttp://arxiv.org/abs/cond-mat/0601356
dc.identifierJ. Phys. Soc. Jpn. 75 (2006) 034004
dc.identifierdoi:10.1143/JPSJ.75.034004
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/107028
dc.subjectDisordered Systems and Neural Networks
dc.subjectStatistical Mechanics
dc.titleLocation of the Multicritical Point for the Ising Spin Glass on the Triangular and Hexagonal Lattices
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