Real space renormalization group analysis with the replica method for the two dimensional Ising Edwards-Anderson model

被引:1
作者
Hasegawa, Takehisa [1 ]
Nemoto, Koji [1 ]
机构
[1] Hokkaido Univ, Grad Sch Sci, Div Phys, Sapporo, Hokkaido 0600810, Japan
关键词
spin glasses; replica method; Ising Edwards-Anderson model; real space renormalization group; SPIN-GLASS MODEL; 2; DIMENSIONS; PHASE-DIAGRAM; TRANSITION; MAGNETS;
D O I
10.1143/JPSJ.75.074701
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
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.
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页数:7
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