2018 Fiscal Year Final Research Report
Toporogical state and its edge state in bosonic and quantum spin systems
| Project/Area Number |
16K17751
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Multi-year Fund |
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| Research Field |
Condensed matter physics II
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| Research Institution | University of Hyogo |
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Principal Investigator |
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| Project Period (FY) |
2016-04-01 – 2019-03-31
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| Keywords | トポロジカル状態 / 量子スピン / 量子モンテカルロ法 / キタエフスピン液体 |
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| Outline of Final Research Achievements |
We have performed quantum Monte Carlo calculations to obtain the ground state phase diagram of SU(N)-spin Heisenberg models on a honeycomb lattice. We have found that magnetically ordered phase disappears for n > 4N, where n corresponds to the number of bosonic boxes in the Young representation for the SU(N) spin. We have also investigated magnetic excitations and the temperature dependence of the specific heat in generalized Kitaev models on a honeycomb lattice by using the numerical exact diagonalization method. The effective model to explain experimental results quantitatively has been proposed from the obtained results.
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| Free Research Field |
統計力学，物性基礎論，計算科学
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| Academic Significance and Societal Importance of the Research Achievements |
蜂の巣格子をもつ模型で現れるトポロジカル量子状態の特徴を数値計算によって調べた．１つ目は，先行研究で２次元ハルデーン状態が現れると期待される理論模型を調べ，予想された磁気秩序相と非磁気秩序相の境界が確かに存在することを明らかにした．２つ目は厳密にトポロジカル量子状態の一つ，スピン液体が現れる模型の候補物質に注目し，実験を通してスピン液体の特徴を如何に見出すかの提案を行った．
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