Density matrix renormalization group study on quantum systems of multiple degrees of freedom
| Project/Area Number |
26400344
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Multi-year Fund |
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| Section | 一般 |
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| Research Field |
Condensed matter physics II
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| Research Institution | Tohoku University |
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Principal Investigator |
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| Project Period (FY) |
2014-04-01 – 2017-03-31
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| Project Status |
Completed (Fiscal Year 2016)
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| Budget Amount *help |
¥4,680,000 (Direct Cost: ¥3,600,000、Indirect Cost: ¥1,080,000)
Fiscal Year 2016: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2015: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2014: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
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| Keywords | 量子多体効果 / 量子相転移 / 分数量子ホール効果 / フラストレートスピン系 / ２次元電子系 / 朝永ラッティンジャー液体 / 磁化プラトー / ダイヤモンドスピン格子 / 分数量子ホール状態 / グラフェン / バレー / 二次元量子スピン系 / フラストレーション / 量子スピン系 / フラストレート / 磁場誘起相転移 / カイラリティー液体 / 密度行列繰り込み群 / 残留エントロピー / 量子ホール系 / ウィグナー結晶 / 2次元電子系 |
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| Outline of Final Research Achievements |
Various quantum many body states of interacting systems have been studied by the density matrix renormalization group method. Wigner crystal formation and the physical effects of the mass term to the relativistic quantum Hall states have been clarified. The ground state phase diagrams of the twisted three-leg spin tube, J1-J2 Heisenberg model on the square lattice and the checkerboard lattice have also been determined in magnetic fields with many new quantum states.
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Report
(4 results)
Research Products
(29 results)
