Real Space Renormalization Group Analysis with the Replica Method for the Two Dimensional Ising Edwards-Anderson Model(Condensed matter: electronic structure and electrical, magnetic, and optical properties)
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概要
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We apply the real space renormalization group (RG) to the replica Hamiltonian of the two dimensional Ising Edwards-Anderson model to discuss the existence of the spin glass (SG) phase. We derive the RG equations under the replica symmetric (RS) ansatz and the resulting flow diagram indicates the existence of the SG phase. The critical exponent for the SG transition has a plausible value while that of the multicritical point (MCP) is a complex number. We consider that this failure at the MCP is due to not taking the RS breaking into account. Indeed we find that the RS breaking parameter is relevant both at the SG critical point and the MCP, indicating the nontriviality of the SG phase of this model.
- 社団法人日本物理学会の論文
- 2006-07-15
著者
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Nemoto Koji
Hokkaido Univ. Sapporo
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Nemoto Koji
Division Of Physics Graduate School Of Science Hokkaido University
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HASEGAWA Takehisa
Division of Physics, Graduate School of Science, Hokkaido University
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Hasegawa Takehisa
Division Of Physics Graduate School Of Science Hokkaido University
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