| Project/Area Number |
22K14008
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| Research Category |
Grant-in-Aid for Early-Career Scientists
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| Allocation Type | Multi-year Fund |
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| Review Section |
Basic Section 13030:Magnetism, superconductivity and strongly correlated systems-related
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| Research Institution | Okinawa Institute of Science and Technology Graduate University |
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Principal Investigator |
Gohlke Matthias 沖縄科学技術大学院大学, 量子理論ユニット, スタッフサイエンティスト (60860666)
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| Project Period (FY) |
2022-04-01 – 2025-03-31
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| Project Status |
Granted (Fiscal Year 2023)
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| Budget Amount *help |
¥3,120,000 (Direct Cost: ¥2,400,000、Indirect Cost: ¥720,000)
Fiscal Year 2023: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2022: ¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
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| Keywords | Quantum Magnetism / Quantum Spin Nematic / Quantum Spin Liquid / Frustrated Magnetism / Matrix Product State / DMRG / Exact Diagonalization / Kitaev Magnets / quantum spin nematic / quantum liquid crystal / quantum spin liquid / Frustrated ferromagnets / tensor networks / matrix product states / frustrated ferromagnets |
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| Outline of Research at the Start |
Ordering of higher-order moments, e.g. quantum spin-nematic (QSN), may occur in the absence of spin-dipolar order. In S=1/2 magnets, QSN order generically features a large degree of entanglement. Within this project I study QSN using modern numerical methods to elucidate their microscopic nature.
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| Outline of Annual Research Achievements |
Competing interactions---or frustration---between the constituents of a many-body system have proven to be an origin of exotic phases of matter.
A famous example in this context are quantum spin liquids (QSL), that do not exhibit conventional magnetic order of spin-dipolar moments, but rather are defined by emergent gauge fields, fractionalized excitations, and topological order. On the other hand, ordering of higher moments like spin-quadrupoles may occur as well. Unlike spin-dipolar order, spin-quadrupolar order is defined by a director---an arrow without a head---in close analogy to the rods of nematic order and liquid crystals. Thus, spin-quadrupolar order is also named quantum spin nematic (QSN).
Within this fiscal year, we have mostly tried to address the nature of the incommensurate mode occurring within the QSN phase of the J1K model. A manuscript is now in preparation.
Our Kitaev-magnet related work obtaining a proximate Tomonaga Luttinger liquid with bond-quadrupoles similar to the QSN has been accepted for publication and is currently in the production process [Preprint available under arXiv:2212.11000]. A second manuscript is in preparation containing more details about other phases occurring in the corresponding model. Here, no additional calculations and computations are planned.
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| Current Status of Research Progress |
Current Status of Research Progress
4: Progress in research has been delayed.
Reason
The research has been delayed for private reasons.
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| Strategy for Future Research Activity |
We are now preparing the manuscript for submission. At this point there are only a few minor questions that we may try to address before proceeding with the preparation and submission.
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