Corner Transfer Matrix Algorithm for Classical Renormalization Group.

• Nishino Tomotoshi

  Department of Physics, Faculty of Science, Kobe University, Rokkodai 657

• Okunishi Kouichi

  Department of Physics, Graduate School of Science, Osaka University, Toyonaka 560

書誌事項

タイトル別名

• Corner Transfer Matrix Algorithm for Cl

抄録

We report a real-space renormalization group (RSRG) algorithm, which is formulated through Baxter's corner transfer matrix (CTM), for two-dimensional (d = 2) classical lattice models. The new method performs the renormalization group transformation according to White's density matrix algorithm, so that variational free energies are minimized within a restricted degree of freedom. As a consequence of the renormalization, spin variables on each corner of CTM are replaced by a m-state block spin variable. It is shown that the thermodynamic functions and critical exponents of the q = 2, 3 Potts models can be precisely evaluated by use of the renormalization group method.

収録刊行物

• Ｊｏｕｒｎａｌ　ｏｆ　ｔｈｅ　Ｐｈｙｓｉｃａｌ　Ｓｏｃｉｅｔｙ　ｏｆ　Ｊａｐａｎ

  Ｊｏｕｒｎａｌ　ｏｆ　ｔｈｅ　Ｐｈｙｓｉｃａｌ　Ｓｏｃｉｅｔｙ　ｏｆ　Ｊａｐａｎ 66 (10), 3040-3047, 1997

  一般社団法人 日本物理学会

キーワード

• density matrix
• corner transfer matrix
• renormalization group

詳細情報

• CRID: 1390001204180664448
• NII論文ID: 210000100409
• NII論文ID: 110001970225
• NII書誌ID: AA00704814
• DOI: 10.1143/jpsj.66.3040
• BIBCODE: 1997JPSJ...66.3040N
• ISSN: 13474073
• ISSN: 00319015
• NDL書誌ID: 4337798
• Web Site: http://id.ndl.go.jp/bib/4337798
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I4337798
• Web Site: https://journals.jps.jp/doi/pdf/10.1143/JPSJ.66.3040
• 本文言語コード: en
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