| Budget Amount *help |
¥4,550,000 (Direct Cost: ¥3,500,000、Indirect Cost: ¥1,050,000)
Fiscal Year 2022: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2021: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2020: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2019: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2018: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
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| Outline of Final Research Achievements |
The mathematical understanding of the origin of metallic ferromagnetism remains insufficient at present. In this study, we constructed a mathematical framework using operator algebra and operator inequalities that can uniformly describe the fundamental theorems in the theory of metallic ferromagnetism, including Marshall-Lieb-Mattis' theorem, Nagaoka-Thouless' theorem, and Lieb's theorem. On the other hand, we proved that the magnetic properties of the ground state remain stable even when many-electron systems described by the Kondo lattice model or Anderson model interact with phonons. These results were analyzed from an overview perspective using the aforementioned unified framework and the relationship with Marshall-Lieb-Mattis' theorem was clarified.
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