抄録
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.
本文言語 | English |
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論文番号 | 074701 |
ジャーナル | journal of the physical society of japan |
巻 | 75 |
号 | 7 |
DOI | |
出版ステータス | Published - 2006 7月 |
ASJC Scopus subject areas
- 物理学および天文学(全般)