2016 Fiscal Year Final Research Report
Development of the current-density functional theory for superconductors that predicts the critical temperature and critical magnetic field
Project/Area Number |
26400397
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Research Category |
Grant-in-Aid for Scientific Research (C)
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Allocation Type | Multi-year Fund |
Section | 一般 |
Research Field |
Mathematical physics/Fundamental condensed matter physics
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Research Institution | Hiroshima University |
Principal Investigator |
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Project Period (FY) |
2014-04-01 – 2017-03-31
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Keywords | 超伝導 / 密度汎関数理論 / 臨界磁場 / 転移温度 |
Outline of Final Research Achievements |
We construct the current-density functional theory for superconductors immersed in a magnetic field in order to predict both the critical magnetic field and critical temperature. The order parameter of the superconducting state, transverse component of the paramagnetic current-density, and electron density are chosen as basic variables that uniquely determine the equilibrium properties of the system. We also develop the approximate form of the exchange-correlation (xc) energy functional that is indispensable to perform actual calculations on the basis of the present theory. The rigorous expression of the xc-energy functional is derived using the technique of the coupling-constant integration. Furthermore, the approximate form of the xc energy functional is developed by requiring that the energy gap coincides with the BCS one in the limiting system where the results of the BCS theory are sufficiently satisfactory.
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Free Research Field |
物性理論
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