Location of the Multicritical Point for the Ising Spin Glass on the Triangular and Hexagonal Lattices

• Nishimori Hidetoshi

  Department of Physics, Tokyo Institute of Technology

• Ohzeki Masayuki

  Department of Physics, Tokyo Institute of Technology

抄録

A conjecture is given for the exact location of the multicritical point in the phase diagram of the ±J Ising model on the triangular lattice. The result p_c=0.8358058 agrees well with a recent numerical estimate. From this value, it is possible to derive a comparable conjecture for the exact location of the multicritical point for the hexagonal lattice, p_c=0.9327041, again in excellent agreement with a numerical study. The method is a variant of duality transformation to relate the triangular lattice directly with its dual triangular lattice without recourse to the hexagonal lattice, in conjunction with the replica method.

収録刊行物

• Ｊｏｕｒｎａｌ　ｏｆ　ｔｈｅ　Ｐｈｙｓｉｃａｌ　Ｓｏｃｉｅｔｙ　ｏｆ　Ｊａｐａｎ

  Ｊｏｕｒｎａｌ　ｏｆ　ｔｈｅ　Ｐｈｙｓｉｃａｌ　Ｓｏｃｉｅｔｙ　ｏｆ　Ｊａｐａｎ 75 (3), 034004-, 2006

  一般社団法人 日本物理学会

キーワード

• spin glass
• ±<I>J</I> Ising model
• multicritical point
• exact solution
• triangular lattice
• hexagonal lattice
• duality transformation

詳細情報

• CRID: 1390001204189802240
• NII論文ID: 110004704671
• NII論文ID: 210000106033
• NII書誌ID: AA00704814
• DOI: 10.1143/jpsj.75.034004
• BIBCODE: 2006JPSJ...75c4004N
• ISSN: 13474073
• ISSN: 00319015
• NDL書誌ID: 7852317
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I7852317
• Web Site: http://journals.jps.jp/doi/pdf/10.1143/JPSJ.75.034004
• 本文言語コード: en
• データソース種別:
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  • NDL
  • Crossref
  • CiNii Articles
• 抄録ライセンスフラグ: 使用不可