Topological quantum effects of electron systems in curved space-time
| Project/Area Number |
23540461
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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 | National Institute for Materials Science |
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Principal Investigator |
TANAKA Akihiro 独立行政法人物質・材料研究機構, 理論計算科学ユニット, 主幹研究員 (10354143)
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| Project Period (FY) |
2011-04-28 – 2015-03-31
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| Project Status |
Completed (Fiscal Year 2014)
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| Budget Amount *help |
¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000)
Fiscal Year 2013: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2012: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2011: ¥2,080,000 (Direct Cost: ¥1,600,000、Indirect Cost: ¥480,000)
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| Keywords | トポロジカル絶縁体 / 量子スピン系 / ベリー位相 / 凝縮系の場の理論 / トポロジカル場の理論 / 対称性で保護されたトポロジカル相 / トポロジカル項 / 磁性体 / アクシオン場 / 渦糸 / 対称性に保護されたトポロジカル相 / ハルデーンギャップ相 / 非線形シグマ模型 / 位相欠陥 / 捩率 / 弾性理論 / アクシオン項 / 格子欠陥 / 重力的AB効果 |
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| Outline of Final Research Achievements |
We showed through numerical and analytical methods how dislocations embedded within an topological insulator sustains a zero-energy mode. We also investigated the unique quantum effects, such as charge pumping with the use of the Witten effect, which arise in a topological phase of matter in the presence of an axion vortex. Finally, by invoking the functional integral representation of ground state wavefunctions, we showed how symmetry-protected-topological states can arise when the low-energy effective theory of a given system contains a surface topological term. We worked out how this scheme applies to 1d antiferromagnets under an applied magnetic field.
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Report
(5 results)
Research Products
(41 results)
