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J. Phys. Soc. Jpn. 75 (2006) 034004 (4 pages)  |Previous Article| |Next Article|  |Table of Contents|
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Location of the Multicritical Point for the Ising Spin Glass on the Triangular and Hexagonal Lattices

Hidetoshi Nishimori and Masayuki Ohzeki

Department of Physics, Tokyo Institute of Technology, Oh-okayama, Meguro-ku, Tokyo 152-8551

(Received November 25, 2005; Accepted January 16, 2006; Published March 10, 2006)

A 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 pc=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, pc=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. ©2006 The Physical Society of Japan

KEYWORDS: spin glass, ±J Ising model, multicritical point, exact solution, triangular lattice, hexagonal lattice, duality transformation
URL: http://jpsj.ipap.jp/link?JPSJ/75/034004/
DOI: 10.1143/JPSJ.75.034004


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