| Budget Amount *help |
¥16,510,000 (Direct Cost: ¥12,700,000、Indirect Cost: ¥3,810,000)
Fiscal Year 2022: ¥5,070,000 (Direct Cost: ¥3,900,000、Indirect Cost: ¥1,170,000)
Fiscal Year 2021: ¥5,070,000 (Direct Cost: ¥3,900,000、Indirect Cost: ¥1,170,000)
Fiscal Year 2020: ¥5,200,000 (Direct Cost: ¥4,000,000、Indirect Cost: ¥1,200,000)
Fiscal Year 2019: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
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| Outline of Final Research Achievements |
Based on a new representation by tensor networks, we have developed new numerical methods for quantum many-body problems such as spin systems. For example, the tensor network representation we discovered for the two-dimensional Kitaev model, which is standard in topological quantum state studies, turned out mathematically equivalent to the loop gas model, one of the standard classical models in statistical mechanics. This representation can be used in developing numerical methods, which was applied to obtain phase diagrams for problems derived from the Kitaev model. In particular, we have discovered many quantum phases in models corresponding to compounds such as alpha-RuCl3.
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