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

Takehisa Hasegawa, Koji Nemoto

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1 Citation (Scopus)

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.

Original languageEnglish
Article number074701
Journaljournal of the physical society of japan
Volume75
Issue number7
DOIs
Publication statusPublished - 2006 Jul 1

Keywords

  • Ising Edwards-Anderson model
  • Real space renormalization group
  • Replica method
  • Spin glasses

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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