2016 Fiscal Year Final Research Report
Studies of topological phases based on lattice gauge theories
| Project/Area Number |
25400388
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Multi-year Fund |
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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) |
2013-04-01 – 2017-03-31
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| Keywords | トポロジカル絶縁体 / 第1チャーン数 / エンタングルメント / ストレーダ公式 / 第2チャーン数 / 量子ホール効果 / トポロジカルポンプ |
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| Outline of Final Research Achievements |
The topological insulator is a new type of insulator. Let us consider a simple model which has the trivial Chern number because of time-reversal symmetry. Even if the total Chern number is zero, there is the case where each spin sector, if such a division is possible, has a nontrivial Chern number. Thus, vanishing Chern number does not necessarily mean that the system is topologically trivial.
Motivated by such an observation, we have started our research by proposing and analyzing a super lattice model which is a layered system with opposite Chern numbers. To understand unique properties of the model in spite of the vanishing Chern number, we have invented a new topological number "entanglement Chern number". It has turned out that such a new number is successfully applied to the description of generic topological phases of the systems.
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| Free Research Field |
物性理論
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