Quantization of Non-Abelian Berry Phase for Time-Reversal-Invariant Systems
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- Fukui Takahiro
- Department of Physics, Ibaraki University
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- Fujiwara Takanori
- Department of Physics, Ibaraki University
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We present a quantized non-Abelian Berry phase for time-reversal-invariant systems such as the quantum spin Hall effect. An ordinary Berry phase is defined by an integral of Berry’s gauge potential along a loop (an integral of the Chern–Simons one-form), whereas we propose that an integral over a five-dimensional parameter space (an integral of the Chern–Simons five-form) is suitable for defining a non-Abelian Berry phase. We study its global topological aspects and show that it is indeed quantized into two values. We also discuss its close relationship with nonperturbative anomalies.
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 78 (9), 093001-093001, 2009
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
- 1390282679173916288
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- NII論文ID
- 130005437830
- 40016740496
- 210000107956
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- NII書誌ID
- AA00704814
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- ISSN
- 13474073
- 00319015
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- NDL書誌ID
- 10357830
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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
