2008 Fiscal Year Final Research Report
Dynamics of topological solitons in noncommutative space
| Project/Area Number |
18540246
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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 | Tohoku University |
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Principal Investigator |
EZAWA Zyun Tohoku University, 大学院・理学研究科, 教授 (90133925)
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| Project Period (FY) |
2006 – 2008
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| Keywords | 2層量子ホール系 / サインゴードン・ソリトン / スカーミオン / スカーム・ソリトン / トポロジカルソリトン / 量子ホール効果 / 量子位相 / 非可換ソリトン / 非可換空間 |
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| Research Abstract |
Noncommutative geometry is realized in the quantum Hall (QH) system. We have constructed a microscopic theory of noncommutative skyrmions, which are quasiparticles in the QH system. In the bilayer QH system, parallel magnetic field penetrates between the two layers as sine-Gordon solitons, and forms a soliton lattice beyond the critical point. We have analyzed the scattering of the Hall current against the soliton lattice, which is shown to yields an anomalous resistivity in the QH regime around the critical point and explains the experimental data quite well.
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