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Article overview
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Quantization of non-Abelian Berry phase for time reversal invariant systems | | T. Fukui
; T. Fujiwara
; | | Date: |
18 Mar 2009 | | Abstract: | We present a quantized non-Abelian Berry phase for time reversal invariant
systems such as quantum spin Hall effect. 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 a similar integral but over
five dimensional parameter space (an integral of the Chern-Simons five-form) is
suitable to define 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 the nonperturbative anomalies. | | Source: | arXiv, 0903.3098 | | Services: | Forum | Review | PDF | Favorites | |
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