2011 Fiscal Year Final Research Report
Microscopic study of quantum spin Hall effect : Time-reversal symmetry and topological invariants
| Project/Area Number |
21540378
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Mathematical physics/Fundamental condensed matter physics
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| Research Institution | Ibaraki University |
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Principal Investigator |
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| Project Period (FY) |
2009 – 2011
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| Keywords | 量子ホール効果 / 量子スピンホール効果 / トポロジカル絶縁体・超伝導体 / ディラック演算子 / Z2トポロジカル不変量 / マヨラナ・フェルミオン / 渦糸 / カラー超伝導 |
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| Research Abstract |
The spin Hall effect is a newly-discovered topological matter. The concenpt of topological matter has quite recently been gneneralized to topological insulators and superconductors, and attracting much current interest. In particular, I study the relationship between the defects and emergence of zero modes, using so-called index theorems. To be conctrete, I extend the index theorem to time-reversal invariant systems, and also apply the index theorem to superconductors of Dirac fermions with various kinds of defects.
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