| Project/Area Number |
13640314
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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 |
固体物性Ⅰ(光物性・半導体・誘電体)
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| Research Institution | Hokkaido University |
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Principal Investigator |
AKERA Hiroshi Hokkaido Univ., Grad.School of Eng., Prof., 大学院・工学研究科, 教授 (20184129)
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| Project Period (FY) |
2001 – 2003
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| Project Status |
Completed (Fiscal Year 2003)
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| Budget Amount *help |
¥2,000,000 (Direct Cost: ¥2,000,000)
Fiscal Year 2003: ¥600,000 (Direct Cost: ¥600,000)
Fiscal Year 2002: ¥500,000 (Direct Cost: ¥500,000)
Fiscal Year 2001: ¥900,000 (Direct Cost: ¥900,000)
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| Keywords | quantum Hall effect / nonlinear transport / theory / thermohydrodynamics |
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| Research Abstract |
We have investigated theoretically spatial variations of the electron temperature and the current density in linear and nonlinear regions.
[1]We have derived hydrodynamic equations in quantum Hall systems in a nonlinear region and studied spatial variations of the electron temperature. It has been shown that the electron temperature and the current density exhibit asymmetric spatial variations perpendicular to the current in the vicinity of sample edges.
[2]We have shown that the diagonal conductivity due to tunneling between localized states within each Landau level in high-electron-temperature regime is much smaller than the observed value.
[3]We have shown that the electron temperature distribution exhibits quantum oscillations in the linear-response regime.
[4]We have developed a theory of thermohydrodynamics in quantum Hall systems, which is a revision as well as a generalization of the previous theory in [1].
[5]We have studied the Ettingshausen effect in a slowly-varying confining potential in the linear-response regime and shown that the deviation of the electron temperature oscillates spatially along the gradient of the potential.
[6]We have studied the Peltier effect in a system with a potential discontinuity along the current in the linear-response regime and shown that the electron temperature develops spatial variations around the discontinuity.
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