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Development of the current-density functional theory for superconductors that predicts the critical temperature and critical magnetic field

Research Project

Project/Area Number 26400397
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field Mathematical physics/Fundamental condensed matter physics
Research InstitutionHiroshima University

Principal Investigator

Katsuhiko Higuchi  広島大学, 先端物質科学研究科, 准教授 (20325145)

Co-Investigator(Kenkyū-buntansha) 樋口 雅彦  信州大学, 学術研究院理学系, 教授 (10292202)
Project Period (FY) 2014-04-01 – 2017-03-31
Project Status Completed (Fiscal Year 2016)
Budget Amount *help
¥2,990,000 (Direct Cost: ¥2,300,000、Indirect Cost: ¥690,000)
Fiscal Year 2016: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2015: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2014: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
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.

Report

(4 results)
  • 2016 Annual Research Report   Final Research Report ( PDF )
  • 2015 Research-status Report
  • 2014 Research-status Report
  • Research Products

    (21 results)

All 2017 2016 2015 2014 Other

All Int'l Joint Research (1 results) Journal Article (9 results) (of which Peer Reviewed: 7 results,  Acknowledgement Compliant: 9 results,  Open Access: 2 results) Presentation (10 results) (of which Int'l Joint Research: 4 results,  Invited: 6 results) Remarks (1 results)

  • [Int'l Joint Research] Kathmandu University(Nepal)

    • Related Report
      2016 Annual Research Report
  • [Journal Article] Basic variables to be reproduced in the first-principles theory for superconductors: Fluctuation of the particle number2017

    • Author(s)
      K. Higuchi, E. Miki and M. Higuchi
    • Journal Title

      J. Phys. Soc. Jpn.

      Volume: 86 Issue: 6 Pages: 064704-064704

    • DOI

      10.7566/jpsj.86.064704

    • NAID

      40021221755

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Calculations of magnetic properties of metals through the magnetic-field-containing relativistic tight-binding approximation method2017

    • Author(s)
      M. Higuchi, D. B. Hamal, and K. Higuchi
    • Journal Title

      Phys. Rev. B

      Volume: 95

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Current-Density Functional Theory for the superconductor2016

    • Author(s)
      K. Higuchi and M. Higuchi
    • Journal Title

      Cond-mat

      Volume: -

    • NAID

      130008148040

    • Related Report
      2016 Annual Research Report
    • Acknowledgement Compliant
  • [Journal Article] Relativistic tight-binding approximation method for materials immersed in a uniform magnetic field: Application to the crystalline silicon2015

    • Author(s)
      K. Higuchi, D. B. Hamal, and M. Higuchi
    • Journal Title

      Phys. Rev. B.

      Volume: 91 Issue: 7

    • DOI

      10.1103/physrevb.91.075122

    • NAID

      120007100288

    • Related Report
      2015 Research-status Report 2014 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Calculation of Magnetic oscillations via the magnetic-field-containing relativistic tight-binding approximation method: Revisit of the de Haas-van Alphen effect2015

    • Author(s)
      D. B. Hamal, M. Higuchi, and K. Higuchi
    • Journal Title

      Phys. Rev. B.

      Volume: 91 Issue: 24

    • DOI

      10.1103/physrevb.91.245101

    • NAID

      120007100287

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Recent Development of the Pair Density Functional Theory2015

    • Author(s)
      K. Higuchi and M. Higuchi
    • Journal Title

      Quantum Matter

      Volume: 4 Issue: 1 Pages: 63-68

    • DOI

      10.1166/qm.2015.1171

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Basic variables to be reproduced in the first-principles theory for superconductors: Fluctuation of the particle number2015

    • Author(s)
      K. Higuchi and M. Higuchi
    • Journal Title

      cond-mat

      Volume: cond-mat Pages: 1-29

    • NAID

      40021221755

    • Related Report
      2015 Research-status Report
    • Acknowledgement Compliant
  • [Journal Article] A Proposal of the Approximate Kinetic Energy Functional of the Pair Density Functional Theory2014

    • Author(s)
      K. Higuchi and M. Higuchi
    • Journal Title

      JPS Conference Proceedings

      Volume: 3

    • DOI

      10.7566/jpscp.3.017009

    • NAID

      120007100257

    • Related Report
      2014 Research-status Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Approximate forms of the pair-density-functional kinetic energy on the basis of a rigorous expression with coupling-constant integration2014

    • Author(s)
      K. Higuchi and M. Higuchi
    • Journal Title

      Phys. Rev. A.

      Volume: 90 Issue: 6

    • DOI

      10.1103/physreva.90.062511

    • NAID

      120007100286

    • Related Report
      2014 Research-status Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Presentation] Energy-band calculations of materials immersed in the magnetic field2017

    • Author(s)
      K. Higuchi
    • Organizer
      EMN Meeting on Computation and Theory 2017
    • Place of Presentation
      Dubai, United Arab Emirates
    • Year and Date
      2017-11-07
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] A density functional approach for the superconductor2017

    • Author(s)
      M. Higuchi
    • Organizer
      EMN Meeting on Computation and Theory 2017
    • Place of Presentation
      Dubai, United Arab Emirates
    • Year and Date
      2017-11-07
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Pair-Density Functional Theory for Superconductors2016

    • Author(s)
      K. Higuchi and M. Higuchi
    • Organizer
      Collaborative Conference on 3D and Materials Research (CC3DMR) 2016
    • Place of Presentation
      Seoul, South Korea
    • Year and Date
      2016-06-20
    • Related Report
      2016 Annual Research Report 2015 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Energy band structures of the crystalline silicon immersed in the magnetic field2016

    • Author(s)
      M. Higuchi and K. Higuchi
    • Organizer
      Collaborative Conference on 3D and Materials Research (CC3DMR) 2016
    • Place of Presentation
      Seoul, South Korea
    • Year and Date
      2016-06-20
    • Related Report
      2016 Annual Research Report 2015 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Current-Density Functional Theory for Spin-Singlet, Spin-Triplet and their MixedSuperconductors immersed in the Magnetic Field2014

    • Author(s)
      M. Higuchi, H. Niwa and K. Higuchi
    • Organizer
      The 15th IUMRS-International Conference in Asia
    • Place of Presentation
      Fukuoka, Japan
    • Year and Date
      2014-08-24 – 2014-08-30
    • Related Report
      2014 Research-status Report
  • [Presentation] Relativistic tight-binding approximation method for Bloch electrons in the uniform magnetic field and its application to silicon with vacancies2014

    • Author(s)
      D. B. Hamal, M. Higuchi and K. Higuchi
    • Organizer
      The 15th IUMRS-International Conference in Asia
    • Place of Presentation
      Fukuoka, Japan
    • Year and Date
      2014-08-24 – 2014-08-30
    • Related Report
      2014 Research-status Report
  • [Presentation] Electronic structure calculations for materials immersed in a uniform magnetic field via the relativistic tight-binding approximation method2014

    • Author(s)
      K. Higuchi, D. B. Hamal and M. Higuchi
    • Organizer
      Conference on Computational Physics (CCP2014)
    • Place of Presentation
      Boston, USA
    • Year and Date
      2014-08-09 – 2014-08-15
    • Related Report
      2014 Research-status Report
  • [Presentation] Validity of the kinetic energy functional based on the coupling-constant expression in the pair-density functional theory2014

    • Author(s)
      M. Higuchi and K. Higuchi
    • Organizer
      Conference on Computational Physics (CCP2014)
    • Place of Presentation
      Boston, USA
    • Year and Date
      2014-08-09 – 2014-08-15
    • Related Report
      2014 Research-status Report
  • [Presentation] Current-density functional theory for superconductors2014

    • Author(s)
      K. Higuchi and M. Higuchi
    • Organizer
      Collaborative Conference on Materials Research 2014
    • Place of Presentation
      Seoul, South Korea
    • Year and Date
      2014-06-23 – 2014-06-27
    • Related Report
      2014 Research-status Report
    • Invited
  • [Presentation] Finite temperature pair-density functional theory2014

    • Author(s)
      M. Higuchi and K. Higuchi
    • Organizer
      Collaborative Conference on Materials Research 2014
    • Place of Presentation
      Seoul, South Korea
    • Year and Date
      2014-06-23 – 2014-06-27
    • Related Report
      2014 Research-status Report
    • Invited
  • [Remarks]

    • URL

      http://home.hiroshima-u.ac.jp/khiguchi/

    • Related Report
      2015 Research-status Report

URL: 

Published: 2014-04-04   Modified: 2018-03-22  

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