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• W2076920720 endingPage "074701" @default.
• W2076920720 startingPage "074701" @default.
• W2076920720 abstract "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." @default.
• W2076920720 created "2016-06-24" @default.
• W2076920720 creator A5023279166 @default.
• W2076920720 creator A5024222580 @default.
• W2076920720 date "2006-07-15" @default.
• W2076920720 modified "2023-09-23" @default.
• W2076920720 title "Real Space Renormalization Group Analysis with the Replica Method for the Two Dimensional Ising Edwards–Anderson Model" @default.
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• W2076920720 doi "https://doi.org/10.1143/jpsj.75.074701" @default.
• W2076920720 hasPublicationYear "2006" @default.
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