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2016 Fiscal Year Annual Research Report

Spin Mechanics

Research Project

Project/Area Number 25247056
Research InstitutionTohoku University

Principal Investigator

Bauer Gerrit  東北大学, 金属材料研究所, 教授 (10620213)

Co-Investigator(Kenkyū-buntansha) 野村 健太郎  東北大学, 金属材料研究所, 准教授 (00455776)
高橋 三郎  東北大学, 金属材料研究所, 准教授 (60171485)
Tretiakov Oleg  東北大学, 金属材料研究所, 助教 (50643425)
Project Period (FY) 2013-04-01 – 2018-03-31
Keywordsspintronics / spin caloritronics / nanomechanics / nanomagnetism / spin mechanics
Outline of Annual Research Achievements

In the fourth year of the project, we continued working on the topics started in the first three years.
Previously, we formulated the fs laser excited spatiotemporal pump and probe spectroscopy that allowed direct observation of the magnon-polaron, the new quasi-particle formed by strongly coupled magnon and phonon excitations. The highlight of the past year was the extension of the study of spin transport in magnetic insulators from the ballistic regime to the diffuse regime. A Boltzmann theory of coupled magnon-phonon transport was successful to quantitatively describe the magnetic field dependence of the spin Seebeck effect as measured by T. Kikkawa in the Saitoh Group. Specifically we could associate sharp peak anomalies in the spin Seebeck voltage to magnon polaron formation that is maximized when the phonon dispersion becomes tangent to the magnon dispersion, i.e. when sound velocity and magnon group velocity agree. These experiments can gauge the acoustic relative to the magnetic quality of materials.
Other activities addressed the atomistic spin simulations of magnetic insulators, dynamics of antiferromagnets, and magnetoresistance of bilayers with topological insulators.

Current Status of Research Progress
Current Status of Research Progress

1: Research has progressed more than it was originally planned.

Reason

The field of spin mechanics is still going very strong. The discovery and explanation of the magnon polaron anomalies by our independently developed theory has attracted much attention. Spin mechanics has attracted the attention of the quantum information community.
The conference series on “Spin Mechanics” started was continued with "Spin Mechanics 4" in Canada this year. "Spin Mechanics 5" will be held in France next year and "Spin Mechanics 6" is likely to return to Japan.

Strategy for Future Research Activity

The coupling of spin and mechanical angular momentum are addressed by the Landau-Lifshitz-Gilbert (LLG) equation coupled to continuum. We will continue running studies and address new topics raised by our previous results. Examples are the following:
(i)the dynamics of magnetic nanoparticles and experimental signatures of the lattice-magnetization coupling
(ii)Boltzmann-level transport equations for heat and spin currents beyond the simplest relaxation time approximation in order to better understand spin caloritronic phenomena such as the spin Seebeck effect,
(iii)Photon-magnon and phonon-magnon strong coupling phenomena
(iv)Spin-orbit interaction in rare earth substituted iron garnets.

  • Research Products

    (61 results)

All 2017 2016 Other

All Int'l Joint Research (2 results) Journal Article (19 results) (of which Int'l Joint Research: 9 results,  Peer Reviewed: 19 results,  Acknowledgement Compliant: 12 results,  Open Access: 4 results) Presentation (39 results) (of which Int'l Joint Research: 36 results,  Invited: 37 results) Book (1 results)

  • [Int'l Joint Research] Walter-Meissner-Inst./Technische Universitat Munchen(Germany)

    • Country Name
      Germany
    • Counterpart Institution
      Walter-Meissner-Inst./Technische Universitat Munchen
  • [Int'l Joint Research] Utrecht University/Delft University of Technology/Groningen University(オランダ)

    • Country Name
      NETHERLANDS
    • Counterpart Institution
      Utrecht University/Delft University of Technology/Groningen University
  • [Journal Article] Energy repartition in the nonequilibrium steady state2017

    • Author(s)
      Yan, Peng; Bauer, Gerrit E. W.; Zhang, Huaiwu
    • Journal Title

      Physical Review B

      Volume: 95 Pages: 024417-1-17

    • DOI

      10.1103/PhysRevB.95.024417

    • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] First-principles study of exchange interactions of yttrium iron garnet2017

    • Author(s)
      Xie, Li-Shan; Jin, Guang-Xi; He, Lixin; et al.
    • Journal Title

      Physical Review B

      Volume: 95 Pages: 014423-1-7

    • DOI

      10.1103/PhysRevB.95.014423

    • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Magnetic-proximity-induced magnetoresistance on topological insulators2017

    • Author(s)
      Takahiro Chiba, Saburo Takahashi, and Gerrit E. W. Bauer
    • Journal Title

      Physical Review B

      Volume: 95 Pages: 94428-1-10

    • DOI

      10.1103/PhysRevB.95.094428

    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Anisotropic magnetotransport in Dirac-Weyl magnetic junctions2017

    • Author(s)
      Y. Ominato, K. Kobayashi, and K. Nomura
    • Journal Title

      Phys. Rev. B

      Volume: 95 Pages: 085308-1-6

    • DOI

      10.1103/ PhysRevB.95.085308

    • Peer Reviewed
  • [Journal Article] Microscopic derivation of magnon spin current in topological insulator/ferromagnet heterostructure2017

    • Author(s)
      N. Okuma and K. Nomura
    • Journal Title

      Phys. Rev. B

      Volume: 95 Pages: 115403-1-8

    • DOI

      10.1103/PhysRevB.95.115403

    • Peer Reviewed
  • [Journal Article] Skyrmion Hall Effect Revealed by Direct Time-Resolved X-Ray Microscopy2017

    • Author(s)
      K. Litzius, I. Lemesh, B. Kruger, P. Bassirian, L. Caretta, K. Richter, F. Buttner, K. Sato, Oleg A. Tretiakov, J. Forster, R. M. Reeve, M. Weigand, I. Bykova, H. Stoll, G. Schutz, G. S. D. Beach, and Mathias Klaui I. A. Ado, Oleg A. Tretiakov, and M. Titov
    • Journal Title

      Nature Physics

      Volume: 13 Pages: 170-175

    • DOI

      10.1038/nphys4000

    • Peer Reviewed / Open Access / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Microscopic theory of spin-orbit torques in two dimensions2017

    • Author(s)
      I. A. Ado, Oleg A. Tretiakov, and M. Totov
    • Journal Title

      Physical Review B

      Volume: 95 Pages: 094401-1-13

    • DOI

      10.1103/PhysRevB.95.094401

    • Peer Reviewed / Open Access / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Magnon spin transport driven by the magnon chemical potential in a magnetic insulator2016

    • Author(s)
      L. J. Cornelissen, K. J. H. Peters, G. E. W. Bauer, R. A. Duine, and B. J. van Wees
    • Journal Title

      Physical Review B

      Volume: 94 Pages: 014412-1-16

    • DOI

      10.1103/PhysRevB.94.014412

    • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Observation of temperature-gradient-induced magnetization2016

    • Author(s)
      Hou Dazhi, Qiu Zhiyong, Iguchi R, Sato K, Vehstedt EK, Uchida K, Bauer GEW, Saitoh E
    • Journal Title

      Nature Communications

      Volume: 7 Pages: 1-6

    • DOI

      10.1038/ncomms12265

    • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Microscopic calculation of thermally induced spin-transfer torques2016

    • Author(s)
      Kohno, Hiroshi; Hiraoka, Yuuki; Hatami, Moosa and Gerrit E. W. Bauer
    • Journal Title

      Physical Review B

      Volume: 94 Pages: 104417-1-12

    • DOI

      10.1103/PhysRevB.94.104417

    • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Magnon Polarons in the Spin Seebeck Effect2016

    • Author(s)
      Takashi Kikkawa, Ka Shen, Benedetta Flebus, Rembert A. Duine, Ken-ichi Uchida, Zhiyong Qiu, Gerrit E.W. Bauer, and Eiji Saitoh
    • Journal Title

      Physical Review Letters

      Volume: 117 Pages: 207203-1-6

    • DOI

      10.1103/PhysRevLett.117.207203

    • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Spin pumping into two-dimensional electron systems2016

    • Author(s)
      Takuya Inoue, Gerrit E. W. Bauer and Kentaro Nomura
    • Journal Title

      Physical Review B

      Volume: 94 Pages: 205428-1-7

    • DOI

      10.1103/PhysRevB.94.205428

    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Thermal Spin Dynamics of Yttrium Iron Garnet2016

    • Author(s)
      Barker, Joseph; Bauer, Gerrit E. W.
    • Journal Title

      Physical Review Letters

      Volume: 117 Pages: 217201-1-5

    • DOI

      10.1103/PhysRevLett.117.217201

    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Crossed responses of spin and orbital magnetism in topological insulators2016

    • Author(s)
      R. Nakai and K. Nomura
    • Journal Title

      Phys. Rev. B

      Volume: 93 Pages: 214434-1-8

    • DOI

      10.1103/PhysRevB.93.214434

    • Peer Reviewed
  • [Journal Article] Universal charge and current on magnetic domain walls in Weyl semimetals2016

    • Author(s)
      Y. Araki, A. Yoshida, and K. Nomura
    • Journal Title

      Phys. Rev. B

      Volume: 94 Pages: 115312-1-7

    • DOI

      10.1103/PhysRevB.94.115312

    • Peer Reviewed
  • [Journal Article] Voltage-driven magnetization switching and spin pumping in Weyl semimetals2016

    • Author(s)
      D. Kurebayashi and K. Nomura
    • Journal Title

      Phys. Rev. Applied

      Volume: 6 Pages: 044013-1-6

    • DOI

      10.1103/PhysRevApplied.6.044013

    • Peer Reviewed
  • [Journal Article] Magnetoresistance effect in Fe20Ni80/graphene/Fe20Ni80 vertical spin valves2016

    • Author(s)
      S. Entani, T. Seki, Y. Sakuraba, T. Yamamoto, S. Takahashi, H. Naramoto, K. Takanashi, and S. Sakai
    • Journal Title

      Applied Physics Letters

      Volume: 116 Pages: 082406-1-5

    • DOI

      10.1063/1.4961669

    • Peer Reviewed
  • [Journal Article] Optically transparent ferromagnetic nanogranular films with tunable transmittance2016

    • Author(s)
      N. Kobayashi, H. Masumoto,S. Takahashi, and S. Maekawa
    • Journal Title

      Scientific Repepots

      Volume: 6 Pages: 34227-1-7

    • DOI

      10.1038/srep34227

    • Peer Reviewed / Open Access
  • [Journal Article] Multiscale model approach for magnetization dynamics simulations2016

    • Author(s)
      A. De Lucia, B. Kruger, Oleg A. Tretiakov, and Mathias Klaui
    • Journal Title

      Physical Review B

      Volume: 94 Pages: 184415-1-6

    • DOI

      10.1103/PhysRevB.94.184415

    • Peer Reviewed / Open Access / Int'l Joint Research / Acknowledgement Compliant
  • [Presentation] Who is afraid of YIG?2017

    • Author(s)
      G. Bauer
    • Organizer
      Who is afraid of YIG?
    • Place of Presentation
      Zao, Yamagata, Japan
    • Year and Date
      2017-03-29
    • Int'l Joint Research / Invited
  • [Presentation] Curvature-Induced Anisotropy in Thin Ferromagnetic Films2017

    • Author(s)
      Oleg A. Tretiakov
    • Organizer
      APS March Meeting 2017
    • Place of Presentation
      New Orleans, LA, USA
    • Year and Date
      2017-03-13 – 2017-03-17
    • Int'l Joint Research
  • [Presentation] Spin-Orbit Torques and Skyrmion Hall Angle2017

    • Author(s)
      Oleg A. Tretiakov
    • Organizer
      21st International Symposium Nanophysics and Nanoelectronics
    • Place of Presentation
      Nizhny Novgorod, Russia
    • Year and Date
      2017-03-13 – 2017-03-16
    • Int'l Joint Research / Invited
  • [Presentation] Theory of Skyrmion Hall Eect and Spin-orbit Torques2017

    • Author(s)
      Oleg A. Tretiakov
    • Organizer
      Annual Nano Spin Conversion Science meeting
    • Place of Presentation
      Tokyo Institute of Technology, Tokyo, Japan
    • Year and Date
      2017-03-02 – 2017-03-03
    • Invited
  • [Presentation] Rotations and Vibrations2017

    • Author(s)
      G. Bauer
    • Organizer
      Spin Mechanics 4
    • Place of Presentation
      Lake Louise, Canada
    • Year and Date
      2017-02-24
    • Int'l Joint Research / Invited
  • [Presentation] Magnons and Phonons in YIG2017

    • Author(s)
      G. Bauer
    • Organizer
      37th REIMEI Workshop on Frontiers of Correlated Quantum Matters and Spintronics
    • Place of Presentation
      Tokai, Ibaraki, Japan
    • Year and Date
      2017-01-15
    • Int'l Joint Research / Invited
  • [Presentation] Aspects of magnon-phonon transport in magnetic insulators2017

    • Author(s)
      G. Bauer
    • Organizer
      Workshop on Simulation and Modeling of Emerging Electronics (SMEE2017)
    • Place of Presentation
      Hong Kong
    • Year and Date
      2017-01-13
    • Int'l Joint Research / Invited
  • [Presentation] ワイル半金属におけるカイラル異常と磁気テクスチャの荷電効果2016

    • Author(s)
      野村健太郎
    • Organizer
      新学術領域トポロジカル物質科学第2回領域会議
    • Place of Presentation
      東北大学
    • Year and Date
      2016-12-17
    • Invited
  • [Presentation] Microscopic Theory of Spin-orbit Torques in Ferromagnet/Heavy-metal Bilayers2016

    • Author(s)
      Oleg A. Tretiakov
    • Organizer
      61st Annual Conference on Magnetism and Magnetic Materials (MMM 2016)
    • Place of Presentation
      New Orleans, LA, USA
    • Year and Date
      2016-10-31 – 2016-11-04
    • Int'l Joint Research
  • [Presentation] Antiferromagnetic Skyrmions2016

    • Author(s)
      Oleg A. Tretiakov
    • Organizer
      KINKEN-KIST joint seminar Future electronic materials and devices beyond Si"
    • Place of Presentation
      Tohoku University, Sendai, Japan
    • Year and Date
      2016-10-24 – 2016-10-25
    • Int'l Joint Research / Invited
  • [Presentation] Weyl Semimetals for Spintronics2016

    • Author(s)
      K. Nomura
    • Organizer
      KINKEN-KIST joint seminar, Future electronic materials and devices beyond Si
    • Place of Presentation
      IMR, Tohoku University
    • Year and Date
      2016-10-24
    • Int'l Joint Research / Invited
  • [Presentation] Spin-Electromagnetic Responses in Weyl semimetals2016

    • Author(s)
      K. Nomura
    • Organizer
      International Symposium on Revolutionary Atomic-Layer Materials
    • Place of Presentation
      WPI-AIMR, Tohoku University
    • Year and Date
      2016-10-21
    • Int'l Joint Research / Invited
  • [Presentation] Spin(calori)tronics of magnetic insulator | metal bilayers2016

    • Author(s)
      G. Bauer
    • Organizer
      International School and Conference on Nanoscience and Quantum Transport
    • Place of Presentation
      Kiev, Ukraine
    • Year and Date
      2016-10-10
    • Int'l Joint Research / Invited
  • [Presentation] Theory of Spin-orbit Torques and Skyrmion Dynamics in Ferromagnets and Antiferromagnets2016

    • Author(s)
      Oleg A. Tretiakov
    • Organizer
      Condensed-Matter Theory Seminar
    • Place of Presentation
      Utrecht University, Utrecht, Netherlands
    • Year and Date
      2016-10-05
    • Int'l Joint Research / Invited
  • [Presentation] Who’s Afraid of YIG?2016

    • Author(s)
      G. Bauer
    • Organizer
      Numerics meeting, QuTech
    • Place of Presentation
      Delft, The Netherlands
    • Year and Date
      2016-10-04
    • Int'l Joint Research / Invited
  • [Presentation] Antiferromagnetic Skyrmions2016

    • Author(s)
      Oleg A. Tretiakov
    • Organizer
      International Workshop on Antiferromagnetic Spintronics
    • Place of Presentation
      Johannes Gutenberg-Universitat, Mainz, Germany
    • Year and Date
      2016-09-26 – 2016-09-30
    • Int'l Joint Research / Invited
  • [Presentation] Spin Caloritronics with Yttrium Iron Garnet2016

    • Author(s)
      G. Bauer
    • Organizer
      SPICE Workshop Quantum Spintronics: Spin transport through quantum magnetic materials
    • Place of Presentation
      Mainz, Germany
    • Year and Date
      2016-09-21
    • Int'l Joint Research / Invited
  • [Presentation] Magnetization Dynamics and Motion of Topological Spin Textures2016

    • Author(s)
      Oleg A. Tretiakov
    • Organizer
      Joint Russian Condensed-Matter Physics Conference
    • Place of Presentation
      Sochi, Russia
    • Year and Date
      2016-09-16 – 2016-09-25
    • Int'l Joint Research / Invited
  • [Presentation] Spin-Electromagnetic Responses in Topological Matters2016

    • Author(s)
      K. Nomura
    • Organizer
      Frontier of Quantum Material Science and Nano-Technology
    • Place of Presentation
      ISSP, University of Tokyo
    • Year and Date
      2016-09-05
    • Int'l Joint Research / Invited
  • [Presentation] Spin-Orbit Torques and Dynamics of Skyrmions2016

    • Author(s)
      Oleg A. Tretiakov
    • Organizer
      International Workshop ”Spins, Waves and Interactions”
    • Place of Presentation
      Krupp Kolleg, Greifswald, Germany
    • Year and Date
      2016-08-31 – 2016-09-02
    • Int'l Joint Research / Invited
  • [Presentation] トポロジカル物質における電磁結合2016

    • Author(s)
      野村健太郎
    • Organizer
      熱場の量子論とその応用
    • Place of Presentation
      理化学研究所
    • Year and Date
      2016-08-22
    • Invited
  • [Presentation] Stability and Dynamics of Antiferromagnetic Skyrmions2016

    • Author(s)
      Oleg A. Tretiakov
    • Organizer
      Joint European Magnetics Symposia (JEMS 2016)(
    • Place of Presentation
      Glasgow, Scotland, UK
    • Year and Date
      2016-08-21 – 2016-08-26
    • Int'l Joint Research / Invited
  • [Presentation] Spin(calori)tronics with Magnons2016

    • Author(s)
      G. Bauer
    • Organizer
      SpinCat PhD workshop
    • Place of Presentation
      Mainz, Germany
    • Year and Date
      2016-08-18
    • Int'l Joint Research / Invited
  • [Presentation] Stability and Dynamics of Antiferromagnetic Skyrmions2016

    • Author(s)
      Oleg A. Tretiakov
    • Organizer
      VI Euro-Asian Symposium ”Trends in Magnetism” (EASTMAG-2016)
    • Place of Presentation
      Krasnoyarsk, Russia
    • Year and Date
      2016-08-15 – 2016-08-19
    • Int'l Joint Research / Invited
  • [Presentation] Magnon-polarons in YIG2016

    • Author(s)
      G. Bauer
    • Organizer
      4th International Conference and School of the Asian Union of Magnetics Societies (ICAUMS 2016)
    • Place of Presentation
      Tainan, Taiwan
    • Year and Date
      2016-08-02
    • Int'l Joint Research / Invited
  • [Presentation] From Mesoscopic Thermoelectrics to Spin Caloritronics2016

    • Author(s)
      G. Bauer
    • Organizer
      New Trends in Topological Insulators 2016 and 17th International Conference on Narrow Gap Systems (NGS17)
    • Place of Presentation
      Wurzburg, Germany
    • Year and Date
      2016-07-28
    • Int'l Joint Research / Invited
  • [Presentation] Spin-orbit Torques and Skyrmion Dynamics in Ferromagnets and Antiferromagnets2016

    • Author(s)
      Oleg A. Tretiakov
    • Organizer
      KU-KIST Graduate School seminar
    • Place of Presentation
      Korea University, Seoul, South Korea
    • Year and Date
      2016-07-22
    • Int'l Joint Research / Invited
  • [Presentation] Theory of magnetic insulator | metal bilayers2016

    • Author(s)
      G. Bauer
    • Organizer
      Interfacial spintronics and spin waves
    • Place of Presentation
      San Sebastian, Spain
    • Year and Date
      2016-07-21
    • Int'l Joint Research / Invited
  • [Presentation] Theory of Spin-orbit Torques and Skyrmion Dynamics2016

    • Author(s)
      Oleg A. Tretiakov
    • Organizer
      24rd JIWON International Workshop
    • Place of Presentation
      Cheorwon-gun, South Korea
    • Year and Date
      2016-07-20 – 2016-07-22
    • Int'l Joint Research / Invited
  • [Presentation] Spin(calori)tronics with magnons2016

    • Author(s)
      G. Bauer
    • Organizer
      Spin Caloritronics 7
    • Place of Presentation
      Utrecht, The Netherlands
    • Year and Date
      2016-07-12
    • Int'l Joint Research / Invited
  • [Presentation] Antiferromagnetic Skyrmions2016

    • Author(s)
      Oleg A. Tretiakov
    • Organizer
      International Conference on Electronic Materials
    • Place of Presentation
      SUNTEC, Singapore
    • Year and Date
      2016-07-04 – 2016-07-08
    • Int'l Joint Research / Invited
  • [Presentation] Stability and Dynamics of Antiferromagnetic Skyrmions2016

    • Author(s)
      Oleg A. Tretiakov
    • Organizer
      International Workshop "Topological Patterns and Dynamics in Magnetic Elements and in Condensed Matter"
    • Place of Presentation
      Max Planck Institute, Dresden, Germany
    • Year and Date
      2016-06-27 – 2016-07-04
    • Int'l Joint Research / Invited
  • [Presentation] Magnon transport in magnetic insulators2016

    • Author(s)
      G. Bauer
    • Organizer
      Core-to-Core Workshop
    • Place of Presentation
      Kaiserslautern, Germany.
    • Year and Date
      2016-06-23
    • Int'l Joint Research / Invited
  • [Presentation] From Spintronics to Spin Caloritronics2016

    • Author(s)
      G. Bauer
    • Organizer
      2nd International Advanced School on Magnonics 2016
    • Place of Presentation
      Exeter, UK
    • Year and Date
      2016-06-20
    • Int'l Joint Research / Invited
  • [Presentation] Dynamics of Ferromagnetic and Antiferromagnetic Skyrmions2016

    • Author(s)
      Oleg A. Tretiakov
    • Organizer
      Physics Department Seminar
    • Place of Presentation
      Queens College, CUNY, New York, NY, USA
    • Year and Date
      2016-05-13
    • Int'l Joint Research / Invited
  • [Presentation] Ferromagnetic and Antiferromagnetic Skyrmions2016

    • Author(s)
      Oleg A. Tretiakov
    • Organizer
      SIAM Conference Mathematical Aspects of Material Sciences (MS16)
    • Place of Presentation
      Philadelphia, PA, USA
    • Year and Date
      2016-05-08 – 2016-05-12
    • Int'l Joint Research / Invited
  • [Presentation] Theory of magnetic insulator | metal bilayers2016

    • Author(s)
      G. Bauer
    • Organizer
      International Workshop on Spintronics Memory and Logic
    • Place of Presentation
      Beijing, China
    • Year and Date
      2016-05-02
    • Int'l Joint Research / Invited
  • [Presentation] Spin(calori)tronics with magnetic insulators2016

    • Author(s)
      G. Bauer
    • Organizer
      International Workshop on Spintronics Memory and Logic
    • Place of Presentation
      Beijing, China
    • Year and Date
      2016-05-01
    • Int'l Joint Research / Invited
  • [Presentation] Spin-orbit and spin-transfer torque induced dynamics of ferromagnetic/antiferromagnetic Skyrmions2016

    • Author(s)
      Oleg A. Tretiakov
    • Organizer
      KAUST Condensed Matter Seminar
    • Place of Presentation
      KAUST, Saudi Arabia
    • Year and Date
      2016-04-21
    • Int'l Joint Research / Invited
  • [Book] トポロジカル絶縁体・超伝導体2016

    • Author(s)
      野村健太郎
    • Total Pages
      371
    • Publisher
      丸善出版

URL: 

Published: 2018-01-16   Modified: 2022-02-01  

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