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

Takehisa Hasegawa, Koji Nemoto

研究成果: Article査読

1 被引用数 (Scopus)

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
論文番号074701
ジャーナルjournal of the physical society of japan
75
7
DOI
出版ステータスPublished - 2006 7

ASJC Scopus subject areas

  • 物理学および天文学(全般)

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