| Project/Area Number |
15K05181
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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 | Osaka City University |
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Principal Investigator |
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| Project Period (FY) |
2015-04-01 – 2018-03-31
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| Project Status |
Completed (Fiscal Year 2017)
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| Budget Amount *help |
¥3,250,000 (Direct Cost: ¥2,500,000、Indirect Cost: ¥750,000)
Fiscal Year 2017: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2016: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2015: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
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| Keywords | 量子臨界点 / トポロジカル指数 / トポロジカル相転移 / Luttinger積分 / 対称性創発 / Kondo効果 / Lieb磁性 / Nagaoka強磁性 / 量子臨界現象 / 近藤効果 / Luttingerの定理 / Friedel総和則 / 長岡強磁性 / 量子不純物系 |
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| Outline of Final Research Achievements |
We have investigated universality and crossover near quantum critical points in strongly correlated quantum impurity systems. In our investigations, we have considered some typical systems and have analized them using the renormalized perturbation theory and the numerical renormalization group calculation.
We have discovered that the Luttinger integral, which was expected zero in a regular Fermi liquid, can take (half-) integer values and can charactrize two Fermi liquid phases separated by a quantum critical point, as a topological index. We have also discovered a conditions for observing emergent SU(4) symmetry in a double quantum dot system.
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