2012 Fiscal Year Final Research Report
Quaternionic Berry connection by the Kramers multiplet and physical applications
| Project/Area Number |
23654128
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| Research Category |
Grant-in-Aid for Challenging Exploratory Research
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| Allocation Type | Multi-year Fund |
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| Research Field |
Mathematical physics/Fundamental condensed matter physics
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| Research Institution | University of Tsukuba |
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Principal Investigator |
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| Project Period (FY) |
2011 – 2012
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| Keywords | 時間反転対称性 / 四元数 / 幾何学的位相 / ベリー位相 / トポロジカル秩序 |
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| Research Abstract |
Recently a theory of the Berry connection of the Kramers multiplet with the time-reversal symmetry is formulated by Hatsugai. The present project is to develop this embryonic research area and to pursue the use of quaternionic Berry connections to define topological order parameters. The basic idea is applied for pyrochlore/Kagome lattice systems with Sp(1) gauge symmetry as a series of models in any dimensions. Further their topological characters are clarified.
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