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Microscopic formulation of the effective theory for quantum spin liquids in kagome antiferromagnets

Research Project

Project/Area Number 17H07362
Research Category

Grant-in-Aid for Research Activity Start-up

Allocation TypeSingle-year Grants
Research Field Condensed matter physics II
Research InstitutionInstitute of Physical and Chemical Research

Principal Investigator

Fuji Yohei  国立研究開発法人理化学研究所, 開拓研究本部, 基礎科学特別研究員 (50802732)

Research Collaborator Furusaki Akira  
Project Period (FY) 2017-08-25 – 2019-03-31
Project Status Completed (Fiscal Year 2018)
Budget Amount *help
¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2018: ¥390,000 (Direct Cost: ¥300,000、Indirect Cost: ¥90,000)
Fiscal Year 2017: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Keywordsトポロジカル相 / 分数量子Hall状態 / 量子スピン液体 / 量子細線 / トポロジカル秩序 / 物性理論 / 強相関電子系 / 磁性
Outline of Final Research Achievements

In materials, electrons or spins strongly interacting with each other can form exotic phases of matter called topological phases, in which interesting excitations known as fractional excitations with nontrivial statistics appear. In this study, we focused on several examples of the topological phases, such as quantum spin liquids in Kagome antiferromagnets, fractional quantum Hall states, and three-dimensional gauge theory, and constructed models realizing them from coupled one-dimensional quantum wires, with the help of quantum field theory technique which allows us to control the interaction.

Academic Significance and Societal Importance of the Research Achievements

相互作用する量子多体系におけるトポロジカル相に現れる分数励起は、量子コンピュータなど次世代のデバイスへの応用が期待されている。ところが、量子多体系における相互作用を制御可能な形で取り扱うことは物性物理学における難題であり、そのための一般的枠組みは知られていない。本研究の結果は、トポロジカル相を実現するための微視的な相互作用のメカニズムを理解するための手掛かりとなり、将来的なトポロジカル相の実験的実現やデバイスの設計に役立つと期待される。

Report

(3 results)
  • 2018 Annual Research Report   Final Research Report ( PDF )
  • 2017 Annual Research Report
  • Research Products

    (8 results)

All 2019 2018 2017 Other

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

  • [Int'l Joint Research] Harvard University(米国)

    • Related Report
      2017 Annual Research Report
  • [Journal Article] Quantum Hall hierarchy from coupled wires2019

    • Author(s)
      Fuji Yohei、Furusaki Akira
    • Journal Title

      Physical Review B

      Volume: 99 Issue: 3

    • DOI

      10.1103/physrevb.99.035130

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Open Access
  • [Presentation] From coupled wires to coupled layers: model with 3D fractional excitations2019

    • Author(s)
      Yohei Fuji
    • Organizer
      Anyons in Quantum Many-Body Systems (ANYON19)
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 3次元的な分数励起を持つ量子細線の模型2019

    • Author(s)
      藤陽平
    • Organizer
      日本物理学会第74回年次大会
    • Related Report
      2018 Annual Research Report
  • [Presentation] Quantum Hall hierarchy from coupled wires2018

    • Author(s)
      Yohei Fuji
    • Organizer
      Topological phases of matter (TOPMAT): from the quantum Hall effect to spin liquids
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 量子細線から作る分数量子 Hall 状態の階層構造I2018

    • Author(s)
      藤陽平
    • Organizer
      日本物理学会2018年秋季大会
    • Related Report
      2018 Annual Research Report
  • [Presentation] 量子細線から作る分数量子 Hall 状態の階層構造II: 複合 Fermi 液体と Pfaffian 状態2018

    • Author(s)
      藤陽平
    • Organizer
      日本物理学会2018年秋季大会
    • Related Report
      2018 Annual Research Report
  • [Presentation] Dirac composite fermion theory for kagome spin liquids2017

    • Author(s)
      Yohei Fuji
    • Organizer
      NQS2017: Novel Quantum States in Condensed Matter 2017
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research

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Published: 2017-08-25   Modified: 2022-05-23  

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