2011 Fiscal Year Final Research Report
Development of new science on electronic systems in curved spaces
| Project/Area Number |
21200032
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| Research Category |
Grant-in-Aid for Scientific Research on Innovative Areas (Research a proposed research project)
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| Allocation Type | Single-year Grants |
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| Research Field |
Nanostructural science
Mathematical physics/Fundamental condensed matter physics
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| Research Institution | Tokyo Institute of Technology |
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Principal Investigator |
ONOE Jun 東京工業大学, 原子炉工学研究所, 准教授 (50241245)
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| Co-Investigator(Kenkyū-buntansha) |
SHIMA Hiroyuki 山梨大学, 生命環境学部, 准教授 (40312392)
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| Co-Investigator(Renkei-kenkyūsha) |
TODA Yasunori 北海道大学, 工学研究院, 教授 (00313106)
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| Project Period (FY) |
2009 – 2011
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| Keywords | ナノ構造物性 / 物性基礎論 |
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| Research Abstract |
A. Einstein first applied Riemannian geometry to develop the general theory of relativity almost one hundred years ago (1916) and succeeded in understanding astronomical-scale phenomena such as the straining of time-space by a gravitational field (1920). Whether or not Riemannian space affects the electronic properties of condensed matters on a much smaller scale is of great interest. Although Riemannian geometry has been applied to quantum mechanics since the 1950s, nobody has yet answered this question, because the electronic properties of materials with Riemannian geometry have not been examined experimentally. By examining in situ high-resolution ultraviolet photoemission spectra of a one-dimensional metallic C_<60> polymer with an uneven periodic peanut-shaped structure, we first observed Riemannian geometrical effects on the electronic properties of materials such as Tomononaga-Luttinger liquids, which were previously theoretically predicted by our group.
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