| Project/Area Number |
09640451
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
物性一般(含基礎論)
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| Research Institution | Tohoku University |
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Principal Investigator |
SAKAI Osamu Tohoku University, Graduate School of Science, associate professor, 理学研究科, 助教授 (60005957)
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| Co-Investigator(Kenkyū-buntansha) |
SHIMIZU Yukihiro Tohoku University, Graduate School of Technology, research associate, 工学研究科, 助手 (70250727)
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| Project Period (FY) |
1997 – 1998
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| Project Status |
Completed (Fiscal Year 1998)
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| Budget Amount *help |
¥3,500,000 (Direct Cost: ¥3,500,000)
Fiscal Year 1998: ¥500,000 (Direct Cost: ¥500,000)
Fiscal Year 1997: ¥3,000,000 (Direct Cost: ¥3,000,000)
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| Keywords | two channel Kondo model / non-Fermi liquid / Uranium compound / magnetic impurity / Anderson model / numerical renormalization group / ラウン化合物 |
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| Research Abstract |
We have studied following subjects.
(1) It is known that the impurity Anderson model (TAM), which is a fundamental model for the magnetic ion in metal, has certainly the local Fermi liquid (LFL) properties in large hybridization limit. Does the non-Fermi liquid (NFL) state appear in the LAM? If it does, what kind of transition occurs between the LFL and the NFL states.
(2) The system1 U_xTh_<1-x>Ru2Si_2 shows anomalous low temperature behaviors similar to those of the NFL state of the two channel Kondo model (TCKM) type. But its resistivity decreases with decreasing temperature. Usually it is expected to increase in the TCKM.Can this resistivity be explained based on the IAM?
(3) It is known that the TCKM has a residual entropy 1/ In at T=0. This will be released under the lowering of the crystal symmetry, and the specific heat will show a peak at a characteristic temperature. How the increase of the magnetic susceptibility with - In T behave near the characteristic temperature?
Following conclusions are derived. (1) The IAM has various types of ground states including both LFL and NFL natures depending on the crystalline field when the hybridization is changed. (2) We can expect the decreasing resistivity when the valence fluctuation between f^2 and f^3ates dominates. (3) The characteristic temperature is about 1/10 of the crystalline field splitting. At that temperature the increase of the susceptibility saturates. The residual entropy in the NFL state is still 1/ in 2 even when the parameters are situated very near the transition point to the LFL state.
Recently, the specific heat under strong magnetic field is measured for U_xTh_<1-x>Ru_2Si_2, and the residual entropy is not observed. Based on the results of the present study, we may conclude that the scenario of the TCKM type seems not applicable simply to this system. Roles of the dynamical Jahn-Teller effect are now under consideration.
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