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Exploration of huge thermoelectric response in the quantum Hall systems

Research Project

Project/Area Number 20K03817
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Review Section Basic Section 13020:Semiconductors, optical properties of condensed matter and atomic physics-related
Research InstitutionThe University of Tokyo

Principal Investigator

Endo Akira  東京大学, 物性研究所, 助教 (20260515)

Project Period (FY) 2020-04-01 – 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 2022: ¥390,000 (Direct Cost: ¥300,000、Indirect Cost: ¥90,000)
Fiscal Year 2021: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2020: ¥2,470,000 (Direct Cost: ¥1,900,000、Indirect Cost: ¥570,000)
Keywords熱電効果 / 量子ホール系 / 熱電性能指数 / コルビノ型試料 / 3オメガ法 / 2次元電子系 / 1次元平面超格子 / 整合性磁気振動 / 量子ホール効果 / ハーマン法 / 熱伝導率 / 整合性磁気抵抗振動 / モットの関係式 / ヴィーデマン・フランツ則 / 2次元電子系 / 電子温度
Outline of Research at the Start

量子ホール系で期待される巨大な熱電応答を実験的に探索する。コルビノ形状試料にて計算で予測される大きな熱電性能指数を実験で実証する。また、ペルチェ冷却現象を利用して冷凍機温度よりも低い電子温度を持つ領域を試料内につくる。これらの実証のために、磁場中2次元電子系の電子温度および熱伝導率を正確に測定する手法を開拓する。熱伝導率測定には、電子温度測定を利用する方法と加熱部からの熱流出測定により導出する手法を試みる。コルビノとホールバーの両形状の試料に対して測定を行い、量子ホール系で重要なローレンツ力による温度勾配の方位回転、および無散逸エッジ状態の熱電現象への役割を明らかにする。

Outline of Final Research Achievements

We have developed experimental methods for investigating the huge thermoelectric response of the quantum Hall systems. With the methods, we measured the thermal conductivity and confirmed the expected relation to the electrical conductivity. In a high magnetic-field regime, we experimentally identified the thermal dissipation through the edge states. We deduced analytic formulas for the thermoelectric figure of merit ZT for a Corbino sample, which revealed the possibility of having a large value exceeding 100. We also deduced analytic formulas for the thermoelectric and thermal conductivity tensors in unidirectional lateral superlattices, which required the previous interpretation of the experimentally observed commensurability oscillations (CO) to be altered owing to the tilting of the temperature gradient by the magnetic field. We have also succeeded in the first observation of the CO in the Hall resistivity, which is closely related to the thermoelectricity of the system.

Academic Significance and Societal Importance of the Research Achievements

本研究で開拓した磁場中2次元電子系の熱伝導率測定手法は電気抵抗の測定に通常用いられる測定装置のみを使用するため、比較的容易に測定を行うことが可能で、今後の量子ホール系の熱電変換や熱輸送現象の発展に大きく寄与することが出来ると考えている。人工的に異方性を導入した2次元平面超格子の研究は、従来あまり考慮されてこなかった、磁場により温度勾配方位が曲げられる効果の探索の有力な研究手段となる。コルビノ型試料の量子ホール系のもつ高い熱電変換効率は、将来的には効率的な廃熱利用に応用され、エネルギー問題・環境への負荷軽減に資する可能性を秘めているものである。

Report

(4 results)
  • 2022 Annual Research Report   Final Research Report ( PDF )
  • 2021 Research-status Report
  • 2020 Research-status Report
  • Research Products

    (9 results)

All 2023 2022 2021

All Journal Article (4 results) (of which Peer Reviewed: 4 results,  Open Access: 2 results) Presentation (5 results) (of which Int'l Joint Research: 2 results)

  • [Journal Article] Anisotropic Behavior of the Thermoelectric Power and the Thermal Conductivity in a Unidirectional Lateral Superlattice: A Typical Anisotropic System Exhibiting Two Distinct Nernst Coefficients2023

    • Author(s)
      Endo Akira, Katsumoto Shingo, Iye Yasuhiro
    • Journal Title

      Journal of Physicasl Society of Japan

      Volume: 92 Issue: 4

    • DOI

      10.7566/jpsj.92.044705

    • Related Report
      2022 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Effect of Joule heating in the quantum Hall systems probed by the third harmonics of the ac resistance2023

    • Author(s)
      Endo Akira、Katsumoto Shingo、Iye Yasuhiro
    • Journal Title

      Accepted for publication in JPS Conference Proceedings

      Volume: -

    • Related Report
      2022 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Joule heating and the thermal conductivity of a two-dimensional electron gas at cryogenic temperatures studied by modified 3ω method2022

    • Author(s)
      Endo Akira, Katsumoto Shingo, Iye Yasuhiro
    • Journal Title

      Journal of Applied Physics

      Volume: 132 Issue: 10

    • DOI

      10.1063/5.0104518

    • Related Report
      2022 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Commensurability oscillations in the Hall resistance of unidirectional lateral superlattices2021

    • Author(s)
      Endo Akira、Katsumoto Shingo、Iye Yasuhiro
    • Journal Title

      Physical Review B

      Volume: 103 Issue: 23

    • DOI

      10.1103/physrevb.103.235303

    • Related Report
      2021 Research-status Report
    • Peer Reviewed
  • [Presentation] Effect of Joule heating in the quantum Hall systems probed by the third harmonics of the ac resistance2022

    • Author(s)
      Endo Akira、Katsumoto Shingo、Iye Yasuhiro
    • Organizer
      29-th Int. Conf. Low Temperature Physics (LT29), Sapporo 2022
    • Related Report
      2022 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 量子ホール系コルビノ型試料の熱電性能指数2022

    • Author(s)
      遠藤彰、橋本義昭、勝本信吾
    • Organizer
      日本物理学会2022年秋季大会(東京工業大学)
    • Related Report
      2022 Annual Research Report
  • [Presentation] 1次元平面超格子における熱起電力整合性磁気振動の異方性:ホール抵抗整合性振動振幅との関係2022

    • Author(s)
      遠藤彰、勝本信吾、家泰弘
    • Organizer
      日本物理学会 2022年 第77回年次大会 (オンライン)
    • Related Report
      2021 Research-status Report
  • [Presentation] Detection of the heating of a two-dimensional electron gas by the third harmonics of the resistance2021

    • Author(s)
      Akira Endo, Shigo Katsumoto, Yasuhiro Iye
    • Organizer
      24th International Conference on Electronic Properties of Two-Dimensional Systems (online)
    • Related Report
      2021 Research-status Report
    • Int'l Joint Research
  • [Presentation] 温度に依存する現象の抵抗3倍高調波を利用した高感度測定2021

    • Author(s)
      遠藤彰, 勝本信吾, 家泰弘
    • Organizer
      日本物理学会第76回年次大会
    • Related Report
      2020 Research-status Report

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Published: 2020-04-28   Modified: 2024-01-30  

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