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Gravitational field theory for topological thermal transport phenomena

Research Project

Project/Area Number 17K17604
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeMulti-year Fund
Research Field Mathematical physics/Fundamental condensed matter physics
Condensed matter physics I
Research InstitutionKyushu University (2022)
Tohoku University (2019-2021)
Institute of Physical and Chemical Research (2017-2018)

Principal Investigator

Nakai Ryota  九州大学, 理学研究院, 特任助教 (30638987)

Project Period (FY) 2017-04-01 – 2023-03-31
Project Status Completed (Fiscal Year 2022)
Budget Amount *help
¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
Fiscal Year 2019: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2018: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2017: ¥2,080,000 (Direct Cost: ¥1,600,000、Indirect Cost: ¥480,000)
Keywords熱伝導 / 重力場 / 非相反応答 / 非エルミート / 境界条件 / ブースト変形 / 熱輸送 / ドルーデ重み / 量子ホール効果 / ジョセフソン効果 / 奇周波数超伝導 / ワイル超伝導 / 熱ホール効果 / 超格子 / ワイル半金属 / 熱応答 / 非相反性 / トポロジカル絶縁体 / トポロジカル超伝導体 / 物性理論
Outline of Final Research Achievements

Thermal transport theory of electrons from the viewpoint of quantum mechanics was studied. A new formula for estimating the thermal conductivity was found by exploiting the relationship between thermal conduction and coordinate transformations. This formula links the quantum mechanical property of the boundary conditions of the wavefunction and the thermal conductivity. A similar formula for the electrical conduction has been known as the Kohn's formula, and hence our formula can be viewed as the thermal version of the Kohn's formula. The theory of nonreciprocity of the thermal and thermoelectric conductions was also studied.

Academic Significance and Societal Importance of the Research Achievements

固体物質の熱伝導現象の中でも近年特に量子力学的性質が強く現れる現象が実験物理の分野でも重要になりつつある。本研究で導入された公式は広く一般の量子系に適用可能であるため、熱伝導現象の量子力学的側面の理解が深まることが期待される。また非相反熱応答現象は別の言葉で言うと順方向と逆方向で熱の流れやすさが異なるという整流効果である。電気伝導の整流効果を利用したダイオードやトランジスタのように熱の非相反性の強い物質が開発されれば、固体物質中の熱を自在に操ることができ、排熱の有効利用などの熱に関する問題の解決手段となることが期待される。

Report

(7 results)
  • 2022 Annual Research Report   Final Research Report ( PDF )
  • 2021 Research-status Report
  • 2020 Research-status Report
  • 2019 Research-status Report
  • 2018 Research-status Report
  • 2017 Research-status Report
  • Research Products

    (26 results)

All 2023 2022 2021 2020 2019 2018 2017 Other

All Int'l Joint Research (3 results) Journal Article (6 results) (of which Int'l Joint Research: 1 results,  Peer Reviewed: 6 results) Presentation (17 results) (of which Int'l Joint Research: 9 results,  Invited: 1 results)

  • [Int'l Joint Research] プリンストン大学(米国)

    • Related Report
      2022 Annual Research Report
  • [Int'l Joint Research] プリンストン大学(米国)

    • Related Report
      2021 Research-status Report
  • [Int'l Joint Research] プリンストン大学(米国)

    • Related Report
      2020 Research-status Report
  • [Journal Article] Andreev-like Reflection in the Pfaffian Fractional Quantum Hall Effect2023

    • Author(s)
      R. Ohashi, R. Nakai, T. Yokoyama, Y. Tanaka, and K. Nomura
    • Journal Title

      J. Phys. Soc. Jpn.

      Volume: 91 Issue: 12 Pages: 123703-123703

    • DOI

      10.7566/jpsj.91.123703

    • Related Report
      2022 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Energy-twisted boundary condition and response in one-dimensional quantum many-body systems2022

    • Author(s)
      Nakai Ryota、Guo Taozhi、Ryu Shinsei
    • Journal Title

      Physical Review B

      Volume: 106 Issue: 15 Pages: 155128-1

    • DOI

      10.1103/physrevb.106.155128

    • Related Report
      2022 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Edge-induced pairing states in a Josephson junction through a spin-polarized quantum anomalous Hall insulator2021

    • Author(s)
      Nakai Ryota、Nomura Kentaro、Tanaka Yukio
    • Journal Title

      Physical Review B

      Volume: 103 Issue: 18 Pages: 184509-184509

    • DOI

      10.1103/physrevb.103.184509

    • Related Report
      2021 Research-status Report
    • Peer Reviewed
  • [Journal Article] Weyl superconductor phases in a Weyl-semimetal/superconductor multilayer2020

    • Author(s)
      Nakai Ryota、Nomura Kentaro
    • Journal Title

      Physical Review B

      Volume: 101 Issue: 9 Pages: 0945101-11

    • DOI

      10.1103/physrevb.101.094510

    • Related Report
      2019 Research-status Report
    • Peer Reviewed
  • [Journal Article] Real-time evolution and quantized charge pumping in magnetic Weyl semimetals2019

    • Author(s)
      Misawa Takahiro、Nakai Ryota、Nomura Kentaro
    • Journal Title

      Physical Review B

      Volume: 100 Issue: 15 Pages: 1551231-9

    • DOI

      10.1103/physrevb.100.155123

    • Related Report
      2019 Research-status Report
    • Peer Reviewed
  • [Journal Article] Nonreciprocal thermal and thermoelectric transport of electrons in noncentrosymmetric crystals2019

    • Author(s)
      Nakai Ryota、Nagaosa Naoto
    • Journal Title

      Physical Review B

      Volume: 99 Issue: 11 Pages: 115201-115201

    • DOI

      10.1103/physrevb.99.115201

    • Related Report
      2018 Research-status Report
    • Peer Reviewed
  • [Presentation] 超伝導接合系におけるトポロジカル超伝導相とエニオン2023

    • Author(s)
      仲井良太
    • Organizer
      物性研短期研究会「固体におけるエニオンと分数統計粒子研究の最前線」
    • Related Report
      2022 Annual Research Report
    • Invited
  • [Presentation] Edge-Induced Pairing States of the Josephson Current in a Spin-Polarized Quantum Anomalous Hall Insulator2023

    • Author(s)
      R. Nakai, K. Nomura, Y. Tanaka
    • Organizer
      APS March Meeting 2023
    • Related Report
      2022 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Imaginary boost deformation of integrable models2023

    • Author(s)
      T. Guo, R. Nakai, K. Kawabata, S. Ryu
    • Organizer
      APS March Meeting 2023
    • Related Report
      2022 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 3次元多層系における高次トポロジカル超伝導相2023

    • Author(s)
      仲井良太, 野村健太郎
    • Organizer
      日本物理学会(2023春季大会)
    • Related Report
      2022 Annual Research Report
  • [Presentation] Twisted Boundary Condition and Thermal Response in One-Dimensional Quantum Systems2022

    • Author(s)
      R. Nakai, T. Guo, S. Ryu, K. Nomura
    • Organizer
      29th International Conference on Low Temperature Physics (LT29)
    • Related Report
      2022 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Energy twisted boundary condition2022

    • Author(s)
      Taozhi Guo、Ryota Nakai、Shinsei Ryu
    • Organizer
      APS March Meeting 2022
    • Related Report
      2021 Research-status Report
    • Int'l Joint Research
  • [Presentation] 1次元量子系における境界条件としてのブーストと熱伝導係数2022

    • Author(s)
      仲井良太、Taozhi Guo、笠真生、野村健太郎
    • Organizer
      日本物理学会
    • Related Report
      2021 Research-status Report
  • [Presentation] パフィアン状態分数量子ホール効果におけるアンドレーエフ的反射の理論2022

    • Author(s)
      大橋良伊、野村健太郎、横山毅人、仲井良太、田仲由喜夫
    • Organizer
      日本物理学会
    • Related Report
      2021 Research-status Report
  • [Presentation] スピン偏極した量子異常ホール系におけるジョセフソン電流のペア対称性2021

    • Author(s)
      仲井良太、野村健太郎、田仲由喜夫
    • Organizer
      日本物理学会
    • Related Report
      2021 Research-status Report
  • [Presentation] ワイル半金属と超伝導体の超格子模型におけるワイル超伝導体相2020

    • Author(s)
      仲井良太、野村健太郎
    • Organizer
      日本物理学会
    • Related Report
      2019 Research-status Report
  • [Presentation] Weyl-superconductor phases in the multilayer model of Weyl semimetals and superconductors2019

    • Author(s)
      Ryota Nakai、Kentaro Nomura
    • Organizer
      International Conference on Topological Materials Science 2019
    • Related Report
      2019 Research-status Report
    • Int'l Joint Research
  • [Presentation] Nonreciprocity in Thermal and Thermoelectric Transport of Electrons in Noncentrosymmetric Crystals2019

    • Author(s)
      R. Nakai、N. Nagaosa
    • Organizer
      APS March Meeting 2019
    • Related Report
      2018 Research-status Report
    • Int'l Joint Research
  • [Presentation] 空間反転対称性の破れた物質における電子系の非相反熱応答2018

    • Author(s)
      仲井良太、永長直人
    • Organizer
      日本物理学会
    • Related Report
      2018 Research-status Report
  • [Presentation] Quantization of the heat polarization in twisted spacetime2018

    • Author(s)
      R. Nakai, S. Ryu. and K. Nomura
    • Organizer
      APS March Meeting 2018
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research
  • [Presentation] Gauge-invariance argument for the quantization of the thermal Hall conductivity2017

    • Author(s)
      R. Nakai, S. Ryu, and K. Nomura
    • Organizer
      28th International Conference on Low Temperature Physics
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research
  • [Presentation] 量子化された熱ホール効果におけるゲージ不変性2017

    • Author(s)
      仲井良太, 笠真生, 野村健太郎
    • Organizer
      日本物理学会
    • Related Report
      2017 Research-status Report
  • [Presentation] Gauge invariance in quantized thermal transport phenomena2017

    • Author(s)
      R. Nakai, S. Ryu, and K. Nomura
    • Organizer
      Novel Quantum States in Condensed Matter 2017
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research

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Published: 2017-04-28   Modified: 2024-01-30  

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