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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Description
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.
Journal
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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
THE PHYSICAL SOCIETY OF JAPAN
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Details 詳細情報について
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- CRID
- 1390282679173916288
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- NII Article ID
- 130005437830
- 40016740496
- 210000107956
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- NII Book ID
- AA00704814
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- ISSN
- 13474073
- 00319015
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- NDL BIB ID
- 10357830
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- Text Lang
- en
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- Data Source
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- JaLC
- NDL Search
- Crossref
- CiNii Articles
- OpenAIRE
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- Abstract License Flag
- Disallowed