Topological Solitons and Low-Energy Phenomena on Noncommutative Space
| Project/Area Number |
21540254
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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 |
Particle/Nuclear/Cosmic ray/Astro physics
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| Research Institution | The Institute of Physical and Chemical Research |
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Principal Investigator |
EZAWA Zyun F. 独立行政法人理化学研究所, 仁科加速器研究センター, 客員研究員 (90133925)
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| Project Period (FY) |
2009-04-01 – 2014-03-31
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| Project Status |
Completed (Fiscal Year 2013)
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| Budget Amount *help |
¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
Fiscal Year 2013: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2012: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2011: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2010: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2009: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
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| Keywords | 非可換空間 / 非可換ソリトン / 量子ホール効果 / 量子位相 / ジョセフソン電流 / スカーミオン / スピン流 / ゴールドストーン・モード / ２層量子ホール系 / ボーズ凝縮 / 2層量子ホール系 / トポロジカルソリトン / メロン対 |
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| Research Abstract |
Noncommutative geometry is realized in the quantum Hall (QH) system. Charged excitations in the QH system are noncommutative skyrmions. On the other hand, parallel magnetic field penetrates into the bilayer system as quantized sine-Gordon soliton fluxes. I have analyzed a scattering process of skyrmions against a sine-Gordon soliton lattice and compared the theoretical results with the experimental results due to Sawada's group (Kyoto University) with good agreement. Next, I made a theoretical study of the Josephson-like phenomena in a bilayer QH system for various way of feeding current to the system. I have compared the results with the experimental results due to von Klitzing's group (Max-Planck Institute) with good agreement. I have also analyzed Goldstone modes in the canted antiferromagnetic phase of the bilayer QH system within the framework of the noncommutative geometry. Then, I have predicted the existence of spin-Josephson current.
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Report
(6 results)
Research Products
(47 results)
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[Journal Article]2010
Author(s)
Gerald E Brown
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Journal Title
The Multifaceted Skyrmion(World Scientific)
Pages: 233-267
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[Presentation] Spin supercurrent in the canted antiferromagnetic phase2013
Author(s)
Y. Hama, G. Tsitsishvili, and Z.F. Ezawa
Organizer
20th International Conference on Electronic Properties of Two-Dimensional Systems (EP2DS-20) and 16th International Conference on Modulated Semiconductor Structures(MSS-16)
Place of Presentation
Wrocaw University of Technology, Wrocaw, Poland
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