| Project/Area Number |
19740237
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Single-year Grants |
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| Research Field |
Mathematical physics/Fundamental condensed matter physics
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| Research Institution | Kyoto University |
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Principal Investigator |
HARADA Kenji Kyoto University, 大学院・情報学研究科, 助教 (80303882)
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| Project Period (FY) |
2007 – 2009
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| Project Status |
Completed (Fiscal Year 2009)
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| Budget Amount *help |
¥3,500,000 (Direct Cost: ¥3,200,000、Indirect Cost: ¥300,000)
Fiscal Year 2009: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2008: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2007: ¥2,200,000 (Direct Cost: ¥2,200,000)
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| Keywords | 計算物理学 / 非閉じ込め臨界現象 / SU(N)反強磁性ハイゼンベルグモデル / 量子相転移 / 量子モンテカルロ法 / 拡張アンサンブル / Deconfined criticality / SU(N)反強磁性ハイゼンベルグ模型 / 四重極相互作用 / 反強磁性ハイゼンベルグ / 量子拡張アンサンブル法 / 平均初期通過時間 / 最適化 |
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| Research Abstract |
Continuous phase transition is a well-known phenomena and, in general, it can be explained by the Landau-Ginzburg-Wilson paradigm. In order to explore numerically another new type of continuous phase transition in quantum systems, we first studied new quantum Monte Carlo algorithms for high performance samplings. Using those high performance algorithms, we have done large-scale quantum Monte Carlo simulations for the quasi-one-dimensional SU(N) quantum models and we found the possibility of continuous quantum phase transitions between valence-bond-solid state and SU(N) symmetry breaking state for the N=3 and 4 cases. Each of them is not a symmetry breaking state of other one.
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