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Multi-band Eilenberger theory of superconductivity with systematic low-energy projection

Research Project

Project/Area Number 26800197
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeMulti-year Fund
Research Field Condensed matter physics II
Research InstitutionJapan Atomic Energy Agency

Principal Investigator

Nagai Yuki  国立研究開発法人日本原子力研究開発機構, システム計算科学センター, 研究職 (20587026)

Project Period (FY) 2014-04-01 – 2017-03-31
Project Status Completed (Fiscal Year 2016)
Budget Amount *help
¥3,900,000 (Direct Cost: ¥3,000,000、Indirect Cost: ¥900,000)
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: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Keywords超伝導 / マルチバンド超伝導 / 非一様超伝導 / 準古典近似 / 物性理論 / トポロジカル超伝導
Outline of Final Research Achievements

Recent-discoverd superconductors, such as iron-based high-Tc superconductors or topological superconductors, have many degrees of freedom to describe the material properties. These are called the multi-band superconductors. The quasiclassical Eilenberger theory is a powerful theory to understand the properties of superconductors in magnetic fields and superconductor-normal junctions. But, This theory could not be applied to the multi-band superconductors. We extend this quasiclassical Eilenberger theory to multi-band superconductors.

Report

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

    (51 results)

All 2017 2016 2015 2014 Other

All Int'l Joint Research (1 results) Journal Article (27 results) (of which Int'l Joint Research: 5 results,  Peer Reviewed: 27 results,  Acknowledgement Compliant: 25 results,  Open Access: 2 results) Presentation (23 results) (of which Int'l Joint Research: 3 results,  Invited: 2 results)

  • [Int'l Joint Research] サスカチュワン大学(カナダ)

    • Related Report
      2016 Annual Research Report
  • [Journal Article] Reduced-Shifted Conjugate-Gradient Method for a Green’s Function: Efficient Numerical Approach in a Nano-Structured Superconductor2017

    • Author(s)
      Yuki Nagai, Yasushi Shinohara, Yasunori Futamura, and Tetsuya Sakurai
    • Journal Title

      Journal of the Physical Society of Japan

      Volume: 86 Issue: 1 Pages: 014708-014708

    • DOI

      10.7566/jpsj.86.014708

    • NAID

      40021057702

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Self-consistent study of Abelian and non-Abelian order in a two-dimensional topological superconductor2017

    • Author(s)
      S. L. Goertzen, K. Tanaka, and Yuki Nagai
    • Journal Title

      PHYSICAL REVIEW B

      Volume: 95 Issue: 6 Pages: 064509-064509

    • DOI

      10.1103/physrevb.95.064509

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Orbital angular momentum in a topological superconductor with Chern number higher than 12016

    • Author(s)
      Atsuo Shitade and Yuki Nagai
    • Journal Title

      PHYSICAL REVIEW B

      Volume: 93 Issue: 17

    • DOI

      10.1103/physrevb.93.174517

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Multi-band Eilenberger Theory of Superconductivity: Systematic Low-Energy Projection2016

    • Author(s)
      Yuki Nagai and Hiroki Nakamura
    • Journal Title

      Journal of the Physical Society of Japan

      Volume: 85 Issue: 7 Pages: 074707-074707

    • DOI

      10.7566/jpsj.85.074707

    • NAID

      40020880901

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Critical temperature enhancement of topological superconductors: A dynamical mean-field study2016

    • Author(s)
      Yuki Nagai, Shintaro Hoshino, and Yukihiro Ota
    • Journal Title

      PHYSICAL REVIEW B

      Volume: 93 Issue: 22

    • DOI

      10.1103/physrevb.93.220505

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Manifestation of chirality in the vortex lattice in a two-dimensional topological superconductor2016

    • Author(s)
      Evan D. B. Smith, K. Tanaka, Yuki Nagai
    • Journal Title

      PHYSICAL REVIEW B

      Volume: 94 Issue: 6

    • DOI

      10.1103/physrevb.94.064515

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Electrical Conductivity through a Single Atomic Step Measured with the Proximity- Induced Superconducting Pair Correlation2016

    • Author(s)
      Howon Kim, Shi-Zeng Lin, Matthias J. Graf, Yoshinori Miyata, Yuki Nagai, Takeo Kato,and Yukio Hasegawa
    • Journal Title

      PHYSICAL REVIEW LETTERS

      Volume: 117 Issue: 11 Pages: 1168021-5

    • DOI

      10.1103/physrevlett.117.116802

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Thermodynamic evidence for nematic superconductivity in CuxBi2Se32016

    • Author(s)
      S. Yonezawa, K. Tajiri, S. Nakata, Y. Nagai, Z. Wang, K. Segawa, Y. Ando, and Y. Maeno
    • Journal Title

      Nature Phys.

      Volume: 13 Issue: 2 Pages: 123-126

    • DOI

      10.1038/nphys3907

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Nuclear magnetic relaxation rates of unconventional superconductivity in doped topological insulators2016

    • Author(s)
      Yuki Nagai and Yukihiro Ota
    • Journal Title

      PHYSICAL REVIEW B

      Volume: 94 Issue: 13

    • DOI

      10.1103/physrevb.94.134516

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Robust zero-energy bound states around a pair-density-wave vortex core in locally noncentrosymmetric superconductors2016

    • Author(s)
      Yoichi Higashi, Yuki Nagai, Tomohiro Yoshida, Yusuke Masaki, and Youichi Yanase
    • Journal Title

      Phys. Rev. B

      Volume: 93 Issue: 10

    • DOI

      10.1103/physrevb.93.104529

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] First-principle study of antimony doping effects on the iron-based superconductor CaFe(SbxAs1-x)22015

    • Author(s)
      Y. Nagai, H. Nakamura, M. Machida and K. Kuroki
    • Journal Title

      Journal of the Physical Society of Japan

      Volume: 84 Issue: 9 Pages: 093702-4

    • DOI

      10.7566/jpsj.84.093702

    • NAID

      210000133658

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Orbital angular momentum in a nonchiral topological superconductor2015

    • Author(s)
      A. Shitade and Y. Nagai
    • Journal Title

      Physical Review B

      Volume: 92 Issue: 2

    • DOI

      10.1103/physrevb.92.024502

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Inverse coherence effects in nuclear magnetic relaxation rates as a sign of topological superconductivity2015

    • Author(s)
      Y. Nagai, Y. Ota, and M. Machida
    • Journal Title

      Physical Review B

      Volume: 92 Issue: 18

    • DOI

      10.1103/physrevb.92.180502

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Surface states around a vortex in topological superconductors: Intersection of a surface and a vortex2015

    • Author(s)
      Y. Nagai, H. Nakamura, and M. Machida
    • Journal Title

      J. Phys. Soc. Jpn

      Volume: 84 Issue: 3 Pages: 033703-033703

    • DOI

      10.7566/jpsj.84.033703

    • NAID

      40020394804

    • Related Report
      2014 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Topological s-wave pairing superconductivity with spatial inhomogeneity: Mid-gap-state appearance and robustness of superconductivity2015

    • Author(s)
      Y. Nagai, Y. Ota, and M. Machida
    • Journal Title

      J. Phys. Soc. Jpn.

      Volume: 84 Issue: 3 Pages: 034711-034711

    • DOI

      10.7566/jpsj.84.034711

    • NAID

      40020394995

    • Related Report
      2014 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Robust superconductivity with nodes in the superconducting topological insulator CuxBi2Se3: Zeeman orbital field and non-magnetic impurities2015

    • Author(s)
      Y. Nagai
    • Journal Title

      Physical Review B

      Volume: 91 Issue: 6

    • DOI

      10.1103/physrevb.91.060502

    • Related Report
      2014 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Spin-polarized Majorana Bound States around a Vortex in Topological Superconductors2014

    • Author(s)
      Y. Nagai, H. Nakamura, and M. Machida
    • Journal Title

      J. Phys. Soc. Jpn.

      Volume: 83 Issue: 6 Pages: 064703-064703

    • DOI

      10.7566/jpsj.83.064703

    • Related Report
      2014 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Quasiclassical Treatment and Odd-parity/Triplet Correspondence in Topological Superconductors2014

    • Author(s)
      Y. Nagai, H. Nakamura, and M. Machida
    • Journal Title

      Journal of the Physical Society of Japan

      Volume: 83 Issue: 5 Pages: 053705-053705

    • DOI

      10.7566/jpsj.83.053705

    • NAID

      40020060196

    • Related Report
      2014 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Field-angle-dependent Low-energy Excitations around a Vortex in the Superconducting Topological Insulator CuxBi2Se32014

    • Author(s)
      Y. Nagai
    • Journal Title

      Journal of the Physical Society of Japan

      Volume: 83 Issue: 6 Pages: 063705-063705

    • DOI

      10.7566/jpsj.83.063705

    • NAID

      210000133122

    • Related Report
      2014 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Nonmagnetic impurity effects in a three-dimensional topological superconductor: From p- to s-wave behaviors2014

    • Author(s)
      Y. Nagai, Y. Ota, and M. Machida
    • Journal Title

      Phys. Rev. B

      Volume: 89 Issue: 21

    • DOI

      10.1103/physrevb.89.214506

    • Related Report
      2014 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Impurity effects in a two-dimensional topological superconductor: A link of Tc-robustness with a topological number2014

    • Author(s)
      Y. Nagai, Y. Ota, and M. Machida
    • Journal Title

      J. Phys. Soc. Jpn.

      Volume: 83 Issue: 9 Pages: 094722-094722

    • DOI

      10.7566/jpsj.83.094722

    • NAID

      40020194834

    • Related Report
      2014 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Imaging Josephson Vortices on the Surface Superconductor Si(111)-(√7×√3)-In using a Scanning Tunneling Microscope2014

    • Author(s)
      Shunsuke Yoshizawa, Howon Kim, Takuto Kawakami, Yuki Nagai, Tomonobu Nakayama, Xiao Hu, Yukio Hasegawa, and Takashi Uchihashi
    • Journal Title

      Physical Review Letters

      Volume: 113 Issue: 24 Pages: 2470041-5

    • DOI

      10.1103/physrevlett.113.247004

    • Related Report
      2014 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Excitation spectrum of Josephson vortices on surface superconductor2014

    • Author(s)
      T. Kawakami, Y. Nagai, S. Yoshizawa, H. Kim, Y. Hasegawa, T. Nakayama, T. Uchihashi, X. Hu,
    • Journal Title

      Journal of Physics: Conference Series

      Volume: 568 Issue: 2 Pages: 0220221-5

    • DOI

      10.1088/1742-6596/568/2/022022

    • Related Report
      2014 Research-status Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Vortex Core Structure in Multilayered Rashba Superconductors2014

    • Author(s)
      Y. Higashi, Y. Nagai, T. Yoshida and Y. Yanase
    • Journal Title

      Journal of Physics: Conference Series

      Volume: 568 Issue: 2 Pages: 022018-022018

    • DOI

      10.1088/1742-6596/568/2/022018

    • Related Report
      2014 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Robustness against non-magnetic impurities in topological superconductors2014

    • Author(s)
      Y. Nagai, Y. Ota and M. Machida
    • Journal Title

      J. Phys.: Conf. Ser.

      Volume: 568 Issue: 2 Pages: 022030-022030

    • DOI

      10.1088/1742-6596/568/2/022030

    • Related Report
      2014 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Inhomogeneity Effects in Topological Superconductors2014

    • Author(s)
      Y. Nagai, H. Nakamura, and M. Machida
    • Journal Title

      JPS Conf. Proc

      Volume: 3 Pages: 015013-015013

    • DOI

      10.7566/jpscp.3.015013

    • Related Report
      2014 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Impurity Effect on the Local Density of States around a Vortex in Noncentrosymmetric Superconductors2014

    • Author(s)
      Y. Higashi, Y. Nagai, and N. Hayashi
    • Journal Title

      JPS Conf. Proc.

      Volume: 3 Pages: 015003-015003

    • DOI

      10.7566/jpscp.3.015003

    • Related Report
      2014 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Presentation] Anti-peak profile of the nuclear magnetic relaxation rate in a superconducting topological insulator2017

    • Author(s)
      Yuki Nagai and Yukihiro Ota
    • Organizer
      Anti-peak profile of the nuclear magnetic relaxation rate in a superconducting topological insulator
    • Place of Presentation
      New Orleans, USA
    • Year and Date
      2017-03-12
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Shifted CG法を用いた超伝導自己無撞着平均場計算の実空間高速解法2016

    • Author(s)
      永井佑紀, 篠原康, 二村保徳, 櫻井鉄也
    • Organizer
      2016年日本物理学会秋季大会
    • Place of Presentation
      金沢大学(石川県金沢市)
    • Year and Date
      2016-09-13
    • Related Report
      2016 Annual Research Report
  • [Presentation] 単結晶CuxBi2Se3の比熱及び上部臨界磁場の異方性2016

    • Author(s)
      田尻兼悟, 米澤進吾, Zhiwei Wang, 永井佑紀, 瀬川耕司, 前野悦輝, 安藤陽一
    • Organizer
      2016年日本物理学会秋季大会
    • Place of Presentation
      金沢大学(石川県金沢市)
    • Year and Date
      2016-09-13
    • Related Report
      2016 Annual Research Report
  • [Presentation] ドープされたトポロジカル絶縁体の超伝導状態での核磁気緩和率の理論的解析2016

    • Author(s)
      永井佑紀, 太田幸宏
    • Organizer
      2016年日本物理学会秋季大会
    • Place of Presentation
      金沢大学(石川県金沢市)
    • Year and Date
      2016-09-13
    • Related Report
      2016 Annual Research Report
  • [Presentation] 局所的な空間反転対称性の破れた多層超伝導体におけるペア密度波渦糸コアの電子構造2016

    • Author(s)
      東陽一, 永井佑紀, 吉田智大, 正木祐輔, 柳瀬陽一
    • Organizer
      2016年日本物理学会秋季大会
    • Place of Presentation
      金沢大学(石川県金沢市)
    • Year and Date
      2016-09-13
    • Related Report
      2016 Annual Research Report
  • [Presentation] 弱結合近似による2次元トポロジカルs波超伝導の転移温度2016

    • Author(s)
      太田幸宏, 永井佑紀, 星野晋太郎
    • Organizer
      2016年日本物理学会秋季大会
    • Place of Presentation
      金沢大学(石川県金沢市)
    • Year and Date
      2016-09-13
    • Related Report
      2016 Annual Research Report
  • [Presentation] 二次元トポロジカル s 波超伝導体の秩序変数の安定性2016

    • Author(s)
      永井佑紀、太田幸宏、星野晋太郎
    • Organizer
      日本物理学会第 71 回年次大会
    • Place of Presentation
      東北学院大学(宮城県仙台市)
    • Year and Date
      2016-03-19
    • Related Report
      2015 Research-status Report
  • [Presentation] ポイントノードを持つトポロジカル超伝導体の磁場回転比熱測定の理論的解析2015

    • Author(s)
      永井佑紀
    • Organizer
      第 23 回渦糸物理国内会議
    • Place of Presentation
      休暇村志賀島(福岡県福岡市)
    • Year and Date
      2015-12-07
    • Related Report
      2015 Research-status Report
  • [Presentation] 核磁気緩和率における逆コヒーレンス効果; トポロジカル超伝導体 CuxBi2 Se3 の理論解析2015

    • Author(s)
      永井佑紀、太田幸宏、町田昌彦
    • Organizer
      日本物理学会 2015 年秋季大会 (物性)
    • Place of Presentation
      関西大(大阪府吹田市)
    • Year and Date
      2015-09-16
    • Related Report
      2015 Research-status Report
  • [Presentation] ノードを持つトポロジカル超伝導体候補CuxBi2Se3 の磁場回転比熱・熱伝導率の理論解析2015

    • Author(s)
      永井佑紀
    • Organizer
      日本物理学会 2015 年秋季大会 (物性)
    • Place of Presentation
      関西大(大阪府吹田市)
    • Year and Date
      2015-09-16
    • Related Report
      2015 Research-status Report
  • [Presentation] Quasiparticle excitations in a three-dimensional nodal topological superconductor2015

    • Author(s)
      永井佑紀
    • Organizer
      11th International Conference on Materials and Mechanisms of Superconductivity (M2S 2015)
    • Place of Presentation
      Geneva (Swiss)
    • Year and Date
      2015-08-23
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Presentation] Quasiparticle excitations in a nodal topological superconductor; Application to superconducting topological insulator CuxBi2Se32015

    • Author(s)
      永井佑紀
    • Organizer
      VORTEX 2015
    • Place of Presentation
      El Escorial (Spain)
    • Year and Date
      2015-05-10
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Presentation] 準古典 Eilenberger 理論による非従来型超伝導体の理論的研究2015

    • Author(s)
      永井佑紀
    • Organizer
      日本物理学会第 70 回年次大会
    • Place of Presentation
      Tokyo
    • Year and Date
      2015-03-21 – 2015-03-24
    • Related Report
      2014 Research-status Report
    • Invited
  • [Presentation] ポイントノードを持つトポロジカル超伝導体の不純物効果とゼーマン軌道磁場2015

    • Author(s)
      永井佑紀
    • Organizer
      日本物理学会第 70 回年次大会
    • Place of Presentation
      Tokyo
    • Year and Date
      2015-03-21 – 2015-03-24
    • Related Report
      2014 Research-status Report
  • [Presentation] Nonmagnetic impurity effects in a superconducting topological insulator2015

    • Author(s)
      永井佑紀
    • Organizer
      American Physical Society 2015 March Meeting
    • Place of Presentation
      San Antonio, USA
    • Year and Date
      2015-03-02 – 2015-03-06
    • Related Report
      2014 Research-status Report
  • [Presentation] Spin-polarized majorana quasiparticle bound states in topological superconductors2014

    • Author(s)
      永井佑紀
    • Organizer
      The 25th International Symposium on Superconductivity (ISS2014)
    • Place of Presentation
      Funabori
    • Year and Date
      2014-11-25 – 2014-11-27
    • Related Report
      2014 Research-status Report
    • Invited
  • [Presentation] From p- to s-wave behaviors in topological superconductors2014

    • Author(s)
      永井佑紀
    • Organizer
      International Workshop on Novel Quantum States in Condensed Matter 2014 (NQS 2014)
    • Place of Presentation
      Kyoto
    • Year and Date
      2014-11-10 – 2014-11-14
    • Related Report
      2014 Research-status Report
  • [Presentation] From p- to s-wave behaviors in topological superconductors with non-magnetic impurities2014

    • Author(s)
      永井佑紀
    • Organizer
      Workshop on Probing and Understanding Exotic Superconductors (EXS 2014)
    • Place of Presentation
      Trieste, Italy
    • Year and Date
      2014-10-27 – 2014-10-31
    • Related Report
      2014 Research-status Report
  • [Presentation] Sakurai-Sugiura 法による実空間 Bogoliubov-de Gennes 方程式の高速数値解法2014

    • Author(s)
      永井佑紀
    • Organizer
      日本物理学会 2014 年秋季大会 (物性)
    • Place of Presentation
      中部大学
    • Year and Date
      2014-09-07 – 2014-09-10
    • Related Report
      2014 Research-status Report
  • [Presentation] 三次元トポロジカル超伝導体における不純物効果; 相対論的効果とアンダーソンの定理2014

    • Author(s)
      永井佑紀
    • Organizer
      日本物理学会 2014 年秋季大会 (物性)
    • Place of Presentation
      中部大学
    • Year and Date
      2014-09-07 – 2014-09-10
    • Related Report
      2014 Research-status Report
  • [Presentation] Robustness against non-magnetic impurities in topological superconductors2014

    • Author(s)
      永井佑紀
    • Organizer
      27th International Conference on Low Temperature Physics (LT-27)
    • Place of Presentation
      Buenos Aires, Argentina
    • Year and Date
      2014-08-06 – 2014-08-13
    • Related Report
      2014 Research-status Report
  • [Presentation] 三次元トポロジカル超伝導体における準粒子励起2014

    • Author(s)
      永井佑紀
    • Organizer
      第 22 回渦糸物理国内会議
    • Place of Presentation
      富良野
    • Year and Date
      2014-07-10 – 2014-07-12
    • Related Report
      2014 Research-status Report
  • [Presentation] トポロジカル超伝導体における準粒子励起2014

    • Author(s)
      永井佑紀
    • Organizer
      物性研究所短期研究会「スーパーマターが拓く新量子現象」
    • Place of Presentation
      柏
    • Year and Date
      2014-04-17 – 2014-04-19
    • Related Report
      2014 Research-status Report

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Published: 2014-04-04   Modified: 2020-05-15  

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