Spin Wave Theory of the Spin 1/2 XY Model

• Uchinami Mamoru

  Institute of Physics, University of Tsukuba

• Takada Satoshi

  Institute of Physics, University of Tsukuba

• Takano Fumihiko

  Institute of Physics, University of Tsukuba

書誌事項

タイトル別名

• Spin Wave Theory of the Spin 12 XY Mode

抄録

The spin wave theory of Kondo and Yamaji is applied to the spin 1/2 XY model in one to three dimensions. In one dimension, the value of the gap Δ which appears in the spectrum of x-component spin remains finite up to 0 K, and no phase transition occurs. The value of the nearest neighbour correlation function is in good agreement with the exact values. In three dimensions, Δ vanishes at a finite temperature, and the second order phase transition occurs. In two dimensions, as T→0, Δ becomes very small for square lattice and tends to zero as exp (−T₀⁄T) for triangular lattice, which means the non-existence of the phase transition. The susceptibility, however, becomes anomalously large for low temperatures, and the extrapolation of Curie-Weiss law gives a “fictitious” transition temperature whose value agrees with those given by the high temperature expansion and the real space renormalization group theory.

収録刊行物

• Ｊｏｕｒｎａｌ　ｏｆ　ｔｈｅ　Ｐｈｙｓｉｃａｌ　Ｓｏｃｉｅｔｙ　ｏｆ　Ｊａｐａｎ

  Ｊｏｕｒｎａｌ　ｏｆ　ｔｈｅ　Ｐｈｙｓｉｃａｌ　Ｓｏｃｉｅｔｙ　ｏｆ　Ｊａｐａｎ 47 (4), 1047-1053, 1979

  一般社団法人 日本物理学会

キーワード

• General Physics and Astronomy

詳細情報

• CRID: 1390001204184041088
• NII論文ID: 110001964414
• NII論文ID: 210000088054
• NII論文ID: 130003737876
• NII書誌ID: AA00704814
• DOI: 10.1143/jpsj.47.1047
• BIBCODE: 1979JPSJ...47.1047U
• COI: 1:CAS:528:DyaE1MXmt1Wns7Y%3D
• ISSN: 13474073
• ISSN: 00319015
• NDL書誌ID: 2065229
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I2065229
• Web Site: http://journals.jps.jp/doi/pdf/10.1143/JPSJ.47.1047
• 本文言語コード: en
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