| Project/Area Number |
21540379
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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 |
Mathematical physics/Fundamental condensed matter physics
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| Research Institution | Saitama University |
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Principal Investigator |
HIDA Kazuo 埼玉大学, 理工学研究科, 教授 (20133704)
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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 |
¥3,640,000 (Direct Cost: ¥2,800,000、Indirect Cost: ¥840,000)
Fiscal Year 2012: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2011: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2010: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2009: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
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| Keywords | 量子スピン系 / 量子スピン液体 / トポロジカル相 / ダイヤモンド鎖 / スピン梯子・チューブ / フラストレーション / フェリ磁性 / スピングラス / ハイゼンベルグモデル / 強磁性・反強磁性交替鎖 / 強磁性ラダー / 異方性 / 量子フェリ磁性 / 混合スピンダイヤモンド鎖 / スピンクラスタ状態 / フラストレート強磁性ラダー / 修正スピン波近似 / 桁交替ラダー / ±Jイジングラダー,チューブ / 量子化フェリ磁性 / 部分フェリ磁性 / ハルデン状態 / 混合スピン鎖 / 量子臨界現象 / Blume-Capelモデル / 空間変化 / 非平衡緩和法 / Wang-Landau法 / 梯子形イジングスピングラス / 転送行列 / モンテカルロ法 |
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| Research Abstract |
In the low dimensional magnets, various topologically different quantum spin fluid phases, novel types of ordered phases emergent from them, and the quantum phase transitions between these phases are induced by the interplay of frustration, randomness, quantum effects, and spatial variation of the spin magnitudes and interactions. We have clarified their nature using the computational methods such as numerical exact diagonalization, density matrix renormalization group, and Monte Carlo method in addition to the analytical methods such as exact solution, low energy effective theory, and modified spin wave method.
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