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- Uchinami Mamoru
- Institute of Physics, University of Tsukuba
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- Takada Satoshi
- Institute of Physics, University of Tsukuba
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- Takano Fumihiko
- Institute of Physics, University of Tsukuba
書誌事項
- タイトル別名
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- Spin Wave Theory of the Spin 12 XY Mode
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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
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- Journal of the Physical Society of Japan
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Journal of the Physical Society of Japan 47 (4), 1047-1053, 1979
一般社団法人 日本物理学会
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詳細情報 詳細情報について
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- CRID
- 1390001204184041088
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- NII論文ID
- 110001964414
- 210000088054
- 130003737876
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- NII書誌ID
- AA00704814
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- BIBCODE
- 1979JPSJ...47.1047U
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- COI
- 1:CAS:528:DyaE1MXmt1Wns7Y%3D
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- ISSN
- 13474073
- 00319015
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- NDL書誌ID
- 2065229
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- 本文言語コード
- en
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- データソース種別
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- JaLC
- NDL
- Crossref
- CiNii Articles
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- 抄録ライセンスフラグ
- 使用不可