Mathematical approach to materials science by using non-commutative geometry
Project/Area Number |
23654020
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Research Category |
Grant-in-Aid for Challenging Exploratory Research
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Allocation Type | Multi-year Fund |
Research Field |
Geometry
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Research Institution | Tohoku University |
Principal Investigator |
KOTANI Motoko 東北大学, 理学(系)研究科(研究院), 教授 (50230024)
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Co-Investigator(Renkei-kenkyūsha) |
AKAMA Yohji 東北大学, 大学院理学研究科, 准教授 (30272454)
ODA Tadao 東北大学, 大学院理学研究科, 名誉教授 (60022555)
|
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 |
¥3,510,000 (Direct Cost: ¥2,700,000、Indirect Cost: ¥810,000)
Fiscal Year 2013: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2012: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2011: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
|
Keywords | 非可換幾何学 / 準結晶 / 格子欠陥 / 量子ホール効果 / 結晶格子 / 非可換幾何 |
Outline of Final Research Achievements |
One of the fundamental questions of solid state physics is to understand relations between microscopic structures and macroscopic properties of matter. One can computer properties in principle if the matter assumes periodic structure. It however often happens that periodic structures are broken under various physical environment such as with impieties, magnetic fields, boundaries. In this project we challenge to establish a new mathematical approach to those problems by using non-commutative geometry.
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Report
(5 results)
Research Products
(47 results)
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[Presentation] 材料科学へのトポロジーの応用2014
Author(s)
小谷 元子
Organizer
幾何学とインターネットの数理2014
Place of Presentation
東京大学玉原国際セミナーハウス(群馬県沼田市)
Year and Date
2014-07-20
Related Report
Invited
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