Variational Monte Carlo study using new algorithm of excited states in Mott regime
| Project/Area Number |
16K05428
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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) |
2016-04-01 – 2020-03-31
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| Project Status |
Completed (Fiscal Year 2019)
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| Budget Amount *help |
¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
Fiscal Year 2018: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2017: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2016: ¥2,340,000 (Direct Cost: ¥1,800,000、Indirect Cost: ¥540,000)
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| Keywords | 強相関電子系 / モット転移 / ハバード模型 / 変分モンテカルロ法 / 反強磁性状態 / 超伝導状態 / 光励起 / 冷却原子 / 励起状態 / d波超伝導 / 反強磁性 / ダブロン / モット物理 / 低エネルギー励起状態 / 高温超伝導 / 不純物効果 / 擬ギャップ / 回転対称性の破れ / 電荷密度波 |
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| Outline of Final Research Achievements |
We consider a strongly correlated system in which an energy gap exist between the insulating ground state and excited states. By applying a variational Monte Carlo method, which is often used for ground states, to excited states, we studied how the excited state behaves as a quasi-stationary state after some weak relaxation processes. We found that the pair-formed and paramagnetic states exhibit phase transitions to (super)conducting states with weak excitation strengths, whereas the antiferromagnetic (AF) state preserves an insulating state. The energy is lowest for the AF state. Therefore, after relaxation from an initial transient conductive state, the state becomes an AF state, which is similar to the ground state.
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| Academic Significance and Societal Importance of the Research Achievements |
強い電子相関がある絶縁体の励起後の緩和過程に対応する理論的研究として、動的研究より基礎的な点を明らかにすることで、光励起や光学格子の実験結果を深く追求できる素地ができたと考えられる。通常、励起後の緩和した状態が金属的になるのが当然と考えられているが、モット領域であれば、それが誤解であることを示せた。励起に関しても、半導体の物理のモットの物理が著しく異なることを示せた。主流である動的研究に、本研究の成果は反映される必要があろう。
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Report
(5 results)
Research Products
(64 results)
