Location of the Multicritical Point for the Ising Spin Glass on the Triangular and Hexagonal Lattices (General)
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概要
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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 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.
- 社団法人日本物理学会の論文
- 2006-03-15
著者
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Nishimori Hidetoshi
Department Of Physics Tokyo Institute Of Technology
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OHZEKI Masayuki
Department of Physics, Tokyo Institute of Technology
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Nishimori Hidetoshi
Department Of Physics Facuilty Of Science Tokyo Institute Of Technology
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Ohzeki Masayuki
Department Of Physics Tokyo Institute Of Technology
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NISHIMORI Hidetoshi
Department of Physics, Tokyo Institute of Technology
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