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Phonon blocking due to geometrically-engineered self-energy

Research Project

Project/Area Number 18K03977
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Review Section Basic Section 19020:Thermal engineering-related
Research InstitutionOsaka University

Principal Investigator

HATTORI Kiminori  大阪大学, 基礎工学研究科, 准教授 (80228486)

Project Period (FY) 2018-04-01 – 2021-03-31
Project Status Completed (Fiscal Year 2020)
Budget Amount *help
¥3,510,000 (Direct Cost: ¥2,700,000、Indirect Cost: ¥810,000)
Fiscal Year 2020: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2019: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2018: ¥2,210,000 (Direct Cost: ¥1,700,000、Indirect Cost: ¥510,000)
Keywordsフォノン / 熱輸送 / 熱コンダクタンス / 熱伝導度 / 自己エネルギー
Outline of Final Research Achievements

Because of the presence of massless modes, the heat current carried by phonons tends to survive at low temperatures even when scattering mechanisms are incorporated into the system. This becomes a fundamental obstacle to thermoelectric applications at low temperatures. In this study, we investigate the effect of energy broadening on phonon transport in mesoscopic systems coupling to external reservoirs such as leads and probes in various geometries using a nonequilibrium Green’s function formalism. An analytic theory shows that geometrically induced broadening sizably suppresses low-temperature phonon transport in a harmonic chain. Numerical calculations demonstrate that this scheme for phonon blocking is viable for realistic systems in higher dimensions. It is also shown that in the presence of self-consistent reservoirs, normal transport emerges for a linear self-energy in arbitrary dimensions, while nonlinear higher-order ones lead to anomalous transport in low dimensions.

Academic Significance and Societal Importance of the Research Achievements

熱電効果の新しいプラットフォームとして、ナノワイヤなどのナノ構造が注目されている。ナノ構造では、電子系の低次元化や熱伝導の抑制による効率向上が期待される。本研究では、従来にない新たな方法論として、自己エネルギーの幾何学的制御によるフォノン・ブロッキングを提案し、その有効性を理論的に実証した。本研究からは、熱電発電・冷却の飛躍的効率化に向けたブレークスルーが期待される。また、本研究の成果をまとめた論文は世界的に権威のある学術誌Physical Reviewに掲載されており、数世紀以上の長きにわたり未解明な問題であるFourierの法則に対しても重要な示唆を与えている。

Report

(4 results)
  • 2020 Annual Research Report   Final Research Report ( PDF )
  • 2019 Research-status Report
  • 2018 Research-status Report
  • Research Products

    (6 results)

All 2020 2019 2018

All Journal Article (3 results) (of which Peer Reviewed: 3 results) Presentation (3 results)

  • [Journal Article] Dimensional crossover of thermal transport in quantum harmonic lattices coupled to self-consistent reservoirs2020

    • Author(s)
      Hattori Kiminori、Sambonchiku Masaya
    • Journal Title

      Physical Review E

      Volume: 102 Issue: 1

    • DOI

      10.1103/physreve.102.012121

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Generalized self-consistent reservoir model for normal and anomalous heat transport in quantum harmonic chains2019

    • Author(s)
      Kiminori Hattori and Miyuki Yoshikawa
    • Journal Title

      Phys. Rev. E

      Volume: 99 Issue: 6

    • DOI

      10.1103/physreve.99.062104

    • Related Report
      2019 Research-status Report
    • Peer Reviewed
  • [Journal Article] Geometrically induced broadening for phonon blocking at low temperatures2018

    • Author(s)
      Hattori Kiminori、Nakamura Yohei
    • Journal Title

      Physical Review B

      Volume: 97 Issue: 22

    • DOI

      10.1103/physrevb.97.224312

    • Related Report
      2018 Research-status Report
    • Peer Reviewed
  • [Presentation] 量子調和格子における熱輸送の次元クロスオーバー2020

    • Author(s)
      三本竹将也、服部公則
    • Organizer
      第81回応用物理学会秋季学術講演会
    • Related Report
      2020 Annual Research Report
  • [Presentation] 量子調和格子における正常及び異常熱輸送2019

    • Author(s)
      吉川美由紀、服部公則
    • Organizer
      第80回応用物理学会秋季学術講演会
    • Related Report
      2019 Research-status Report
  • [Presentation] 自己エネルギーの幾何学的制御によるフォノン輸送抑制2018

    • Author(s)
      中村洋平、服部公則
    • Organizer
      応用物理学会
    • Related Report
      2018 Research-status Report

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Published: 2018-04-23   Modified: 2022-01-27  

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