Excited State TAB and Functional Relations in Spinless Fermion Model

• Sakai Kazumitsu

  Institute of Physics, University of Tokyo, Komaba 3–8–1, Meguro–ku, Tokyo 153–8902

書誌事項

タイトル別名

• Excited State TBA and Functional Relations in Spinless Fermion Model.

抄録

The excited state thermodynamic Bethe ansatz (TBA) equations for the spinless Fermion model are presented by the quantum transfer matrix (QTM) approach. We introduce a more general family called T-functions and explore functional relations among them (T-system) and their certain combinations (Y-system). From their analytical property, we derive a closed set of non linear integral equations which characterize the correlation length of ‹ c_j^†c_i› at any finite temperatures. Solving these equations numerically, we explicitly determine the correlation length, which accurately coincides with previous results.

収録刊行物

• Ｊｏｕｒｎａｌ　ｏｆ　ｔｈｅ　Ｐｈｙｓｉｃａｌ　Ｓｏｃｉｅｔｙ　ｏｆ　Ｊａｐａｎ

  Ｊｏｕｒｎａｌ　ｏｆ　ｔｈｅ　Ｐｈｙｓｉｃａｌ　Ｓｏｃｉｅｔｙ　ｏｆ　Ｊａｐａｎ 68 (6), 1789-1792, 1999

  一般社団法人 日本物理学会

キーワード

• thermodynamics Bethe ansatz
• quantum transfer matrix
• spinless Fermion model
• correlation length

詳細情報

• CRID: 1390282679157132544
• NII論文ID: 210000101619
• NII論文ID: 110001955466
• NII書誌ID: AA00704814
• DOI: 10.1143/jpsj.68.1789
• BIBCODE: 1999JPSJ...68.1789S
• ISSN: 13474073
• ISSN: 00319015
• MRID: 1720189
• NDL書誌ID: 4773457
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I4773457
• Web Site: http://journals.jps.jp/doi/pdf/10.1143/JPSJ.68.1789
• 本文言語コード: en
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