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Perturbative analysis from the integrable limits on the dynamics of fractional excitations in quantum spin liquids

Research Project

Project/Area Number 16H04026
Research Category

Grant-in-Aid for Scientific Research (B)

Allocation TypeSingle-year Grants
Section一般
Research Field Mathematical physics/Fundamental condensed matter physics
Research InstitutionGakushuin University

Principal Investigator

Udagawa Masafumi  学習院大学, 理学部, 教授 (80431790)

Project Period (FY) 2016-04-01 – 2021-03-31
Project Status Completed (Fiscal Year 2020)
Budget Amount *help
¥16,900,000 (Direct Cost: ¥13,000,000、Indirect Cost: ¥3,900,000)
Fiscal Year 2019: ¥4,680,000 (Direct Cost: ¥3,600,000、Indirect Cost: ¥1,080,000)
Fiscal Year 2018: ¥4,680,000 (Direct Cost: ¥3,600,000、Indirect Cost: ¥1,080,000)
Fiscal Year 2017: ¥4,680,000 (Direct Cost: ¥3,600,000、Indirect Cost: ¥1,080,000)
Fiscal Year 2016: ¥2,860,000 (Direct Cost: ¥2,200,000、Indirect Cost: ¥660,000)
Keywords量子スピン液体 / 分数化 / 厳密解 / 動的相関関数 / 幾何学的フラストレーション / Kitaevスピン液体 / マヨラナゼロモード / 近藤効果 / 分数励起 / 動的応答 / 量子計算 / 非可換統計 / Kitaev模型 / スピンアイス / ダイナミクス / 核磁気共鳴 / スピン液体 / 摂動展開 / 可解模型
Outline of Final Research Achievements

Recently, Kitaev's spin liquid is attracting considerable attention as a platform to perform topological quantum computation. We succeeded in the derivation of exact dynamical magnetic correlation function of this system, which reflect the nature of elementary excitations of this system. On the basis of this exact solution, we derived the dynamical magnetic structure factor, which is essential to interpreting the neutron scattering experiments. We also addressed the hole Green's function, which is applicable to the local detection of non-Abelian anyon, a promising candidate of qubit for quantum computation. We further considered the quantum spin ice system, and developed a general methodology to describe its fractional excitations. We apply this method to address the dynamics of magnetic monopole excitation, and found a phenomenon, which we term as dimensional transmutation. We also found a new class of classical spin liquid emerges out of the attraction between like charges.

Academic Significance and Societal Importance of the Research Achievements

Kitaevスピン液体において、ダイナミクスを正確に記述する動的相関関数の厳密解の導出に成功した成果は、この系がトポロジカル量子計算のプラットフォームとして有望視されていることから非常に意義深い。特に、厳密解に基づくホール相関関数の振る舞いは量子計算の素子である非可換エニオンの局所検出に用いることができ、実際本研究ではSTMを利用した素励起の検出法の提案も行なっている。また、量子スピンアイスの磁気モノポール励起のダイナミクスの記述に成功したことは、量子スピン液体一般に現れる分数励起という新しいクラスの素励起の性質を理解する新しい道筋を開拓したという意味で基礎科学の面から大きな意義を持つ。

Report

(6 results)
  • 2020 Annual Research Report   Final Research Report ( PDF )
  • 2019 Annual Research Report
  • 2018 Annual Research Report
  • 2017 Annual Research Report
  • 2016 Annual Research Report
  • Research Products

    (71 results)

All 2021 2020 2019 2018 2017 2016 Other

All Int'l Joint Research (14 results) Journal Article (13 results) (of which Int'l Joint Research: 8 results,  Peer Reviewed: 13 results,  Acknowledgement Compliant: 3 results) Presentation (42 results) (of which Int'l Joint Research: 19 results,  Invited: 20 results) Book (1 results) Remarks (1 results)

  • [Int'l Joint Research] Max Planck Institute (MPI PKS)(ドイツ)

    • Related Report
      2020 Annual Research Report
  • [Int'l Joint Research] Max Planck Institute (MPI PKS)(ドイツ)

    • Related Report
      2019 Annual Research Report
  • [Int'l Joint Research] IACS(インド)

    • Related Report
      2019 Annual Research Report
  • [Int'l Joint Research] Wigner Research Centre for Physics(ハンガリー)

    • Related Report
      2019 Annual Research Report
  • [Int'l Joint Research] Max Planck Institute(ドイツ)

    • Related Report
      2018 Annual Research Report
  • [Int'l Joint Research] Bordeaux University(フランス)

    • Related Report
      2018 Annual Research Report
  • [Int'l Joint Research] Bordeaux University/CNRS(フランス)

    • Related Report
      2017 Annual Research Report
  • [Int'l Joint Research] Freie Universitat Berlin(ドイツ)

    • Related Report
      2017 Annual Research Report
  • [Int'l Joint Research] Stockholm University(スウェーデン)

    • Related Report
      2017 Annual Research Report
  • [Int'l Joint Research] Cavendish Laboratory(英国)

    • Related Report
      2017 Annual Research Report
  • [Int'l Joint Research] CNRS(フランス)

    • Related Report
      2016 Annual Research Report
  • [Int'l Joint Research] Freie Universitat Berlin(ドイツ)

    • Related Report
      2016 Annual Research Report
  • [Int'l Joint Research] Stockholm University(スウェーデン)

    • Related Report
      2016 Annual Research Report
  • [Int'l Joint Research] Cambridge University(英国)

    • Related Report
      2016 Annual Research Report
  • [Journal Article] Scanning Tunneling Microscopy as a Single Majorana Detector of Kitaev’s Chiral Spin Liquid2021

    • Author(s)
      M. Udagawa, S. Takayoshi, T. Oka
    • Journal Title

      Physical Review Letters

      Volume: 126 Issue: 12 Pages: 127201-127201

    • DOI

      10.1103/physrevlett.126.127201

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Theoretical scheme for finite-temperature dynamics of Kitaev's spin liquids2021

    • Author(s)
      Masafumi Udagawa
    • Journal Title

      Journal of Physics: Condensed Matter

      Volume: accepted for publication Issue: 25 Pages: 0-0

    • DOI

      10.1088/1361-648x/abf6e4

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Field-Selective Classical Spin Liquid and Magnetization Plateaus on Kagome Lattice2020

    • Author(s)
      Tokushuku Kunio、Mizoguchi Tomonari、Udagawa Masafumi
    • Journal Title

      Journal of the Physical Society of Japan

      Volume: 89 Issue: 5 Pages: 0537081-5

    • DOI

      10.7566/jpsj.89.053708

    • NAID

      210000158171

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Trimer classical spin liquid from interacting fractional charges2019

    • Author(s)
      Tokushuku Kunio、Mizoguchi Tomonari、Udagawa Masafumi
    • Journal Title

      Physical Review B

      Volume: 100 Issue: 13 Pages: 1344151-15

    • DOI

      10.1103/physrevb.100.134415

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Spectrum of Itinerant Fractional Excitations in Quantum Spin Ice2019

    • Author(s)
      Udagawa Masafumi, Moessner Roderich
    • Journal Title

      Physical Review Letters

      Volume: 122 Issue: 11

    • DOI

      10.1103/physrevlett.122.117201

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Vison-Majorana complex zero-energy resonance in the Kitaev spin liquid2018

    • Author(s)
      Udagawa Masafumi
    • Journal Title

      Physical Review B

      Volume: 98 Issue: 22

    • DOI

      10.1103/physrevb.98.220404

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Magnetic clustering, half-moons, and shadow pinch points as signals of a proximate Coulomb phase in frustrated Heisenberg magnets2018

    • Author(s)
      Mizoguchi Tomonari, Jaubert Ludovic D. C., Moessner Roderich, Udagawa Masafumi
    • Journal Title

      Physical Review B

      Volume: 98 Issue: 14

    • DOI

      10.1103/physrevb.98.144446

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Charge density wave instabilities of type-II Weyl semimetals in a strong magnetic field2017

    • Author(s)
      M. Trescher, E. J. Bergholtz, M. Udagawa and J. Knolle
    • Journal Title

      Physical Review B

      Volume: 96 Issue: 20 Pages: 2011011-6

    • DOI

      10.1103/physrevb.96.201101

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Clustering of Topological Charges in a Kagome Classical Spin Liquid2017

    • Author(s)
      Mizoguchi Tomonari、Jaubert L.?D.?C.、Udagawa Masafumi
    • Journal Title

      Physical Review Letters

      Volume: 119 Issue: 7 Pages: 0772071-6

    • DOI

      10.1103/physrevlett.119.077207

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Flat bands and Dirac cones in breathing lattices2017

    • Author(s)
      Essafi Karim、Jaubert L D C、Udagawa M
    • Journal Title

      Journal of Physics: Condensed Matter

      Volume: 29 Issue: 31 Pages: 3158021-8

    • DOI

      10.1088/1361-648x/aa782f

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Generic Weyl phase in the vortex state of quasi-two-dimensional chiral superconductors2016

    • Author(s)
      Tomohiro Yoshida, Masafumi Udagawa
    • Journal Title

      Physical Review B

      Volume: 94 Issue: 6

    • DOI

      10.1103/physrevb.94.060507

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Effect of delithiation on the dimer transition of the honeycomb-lattice ruthenate Li2-xRuO32016

    • Author(s)
      Marco-Polo Jimenez-Segura, Atsutoshi Ikeda, Simon A. J. Kimber, Carlotta Giacobbe, Shingo Yonezawa, Yoshiteru Maeno
    • Journal Title

      Physical Review B

      Volume: 94 Issue: 10

    • DOI

      10.1103/physrevb.94.104416

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Field-Selective Anomaly and Chiral Mode Reversal in Type-II Weyl Materials2016

    • Author(s)
      M. Udagawa, E.J. Bergholtz
    • Journal Title

      Physical Review Letters

      Volume: 117 Issue: 8

    • DOI

      10.1103/physrevlett.117.086401

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
  • [Presentation] Detection of Majorana in the dynamical response of Kitaev’s spin liquid2021

    • Author(s)
      Masafumi Udagawa
    • Organizer
      waiting for the conference on Highly Frustrated Magnetism
    • Related Report
      2020 Annual Research Report
  • [Presentation] 量子スピン液体の素励起ダイナミクス2021

    • Author(s)
      宇田川将文
    • Organizer
      第5回CRESTチームミーティング
    • Related Report
      2020 Annual Research Report
    • Invited
  • [Presentation] Kitaev スピン液体の可解極限からの摂動展開2021

    • Author(s)
      宇田川将文
    • Organizer
      日本物理学会第76回年次大会
    • Related Report
      2020 Annual Research Report
  • [Presentation] 金属有機構造体の酸素吸着による磁気制御2021

    • Author(s)
      加藤将貴, 宇田川将文, 徳宿邦夫, 松浦弘泰, 小形正男
    • Organizer
      日本物理学会第76回年次大会
    • Related Report
      2020 Annual Research Report
  • [Presentation] Kitaevスピン液体におけるSTMを用いたマヨラナ粒子操作2021

    • Author(s)
      高吉 慎太郎, 宇田川 将文, 岡 隆史
    • Organizer
      日本物理学会第76回年次大会
    • Related Report
      2020 Annual Research Report
  • [Presentation] Control of Magnetism by Oxygen Adsorption in Magnetic Sponge Materials2021

    • Author(s)
      加藤将貴, 宇田川将文, 徳宿邦夫, 松浦弘泰, 小形正男
    • Organizer
      APS March meeting
    • Related Report
      2020 Annual Research Report
  • [Presentation] Spinon dynamics in Quantum spin ice2020

    • Author(s)
      宇田川 将文
    • Organizer
      統計力学セミナー
    • Related Report
      2020 Annual Research Report
    • Invited
  • [Presentation] Dynamics of fractional excitations in quantum spin liquids2020

    • Author(s)
      Masafumi Udagawa
    • Organizer
      UK-Japan workshop on strongly correlated electron systems and 18th Theoretical and Experimental Magnetism Meeting (TEMM)
    • Related Report
      2020 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 量子カゴメアイスにおけるマクロに縮退した励起状態とquantum scar2020

    • Author(s)
      Masafumi Udagawa, Roderich Moessner
    • Organizer
      日本物理学会2020年度秋季大会
    • Related Report
      2020 Annual Research Report
  • [Presentation] 量子スピンアイスのスピノンスペクトル2020

    • Author(s)
      Masafumi Udagawa, Roderich Moessner
    • Organizer
      日本物理学会2020年度秋季大会
    • Related Report
      2020 Annual Research Report
  • [Presentation] Kitaev スピン液体におけるマヨラナ探索プローブとしてのSTM2020

    • Author(s)
      宇田川 将文, 高吉 慎太郎, 岡 隆史
    • Organizer
      日本物理学会2020年度秋季大会
    • Related Report
      2020 Annual Research Report
  • [Presentation] 金属有機錯体表面における酸素吸着に誘起された磁気競合効果と2 次元古典ス ピン液体形成2020

    • Author(s)
      加藤将貴, 宇田川将文, 徳宿邦夫, 松浦弘泰, 小形正男
    • Organizer
      日本物理学会2020年度秋季大会
    • Related Report
      2020 Annual Research Report
  • [Presentation] Spectral singularity of spinons in quantum spin ice2020

    • Author(s)
      Masafumi Udagawa
    • Organizer
      OIST Virtual Seminars and Lectures series
    • Related Report
      2020 Annual Research Report
    • Invited
  • [Presentation] Dimensional transmutation of quantum monopole dynamics2020

    • Author(s)
      M. Udagawa and R. Moessner
    • Organizer
      APS March Meeting
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Dimensional diversication in quantum spin ice2019

    • Author(s)
      Masafumi Udagawa
    • Organizer
      SFB workshop
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] パイロクロア格子上のValence Bond Crystal相に ドープされたホールのダイナミクス2019

    • Author(s)
      徳宿邦夫、宇田川将文
    • Organizer
      日本物理学会2019年秋季大会
    • Related Report
      2019 Annual Research Report
  • [Presentation] Magnetic and Charge response of Kitaev's spin liquid2019

    • Author(s)
      Masafumi Udagawa
    • Organizer
      IBSPCS-KIAS workshop
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Dynamical response of Kitaev’s spin liquid2019

    • Author(s)
      Masafumi Udagawa
    • Organizer
      The 3rd Asia Pacific Workshop on Quantum Magnetism
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Exploration of Majorana in Kitaev dynamics2019

    • Author(s)
      Masafumi Udagawa
    • Organizer
      TopoMat2019
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Spectrum of itinerant fractional excitations in quantum spin ice2019

    • Author(s)
      M. Udagawa, R. Moessner
    • Organizer
      International Workshop on Constrained Many-body Dynamics
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Dynamics of fractional excitations in Kitaev’s spin liquid2018

    • Author(s)
      M. Udagawa
    • Organizer
      The 2nd Asia Pacific Workshop on Quantum Magnetism
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Vison resonance in Kitaev’s spin liquid2018

    • Author(s)
      M. Udagawa
    • Organizer
      The 9th International Conference on Highly Frustrated Magnetism 2018
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Local magnetic resonance in Kitaev’s spin liquid2018

    • Author(s)
      M. Udagawa
    • Organizer
      KIAS-KAIST Workshop
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Zero-energy Majorana in Kitaev spin liquid2018

    • Author(s)
      宇田川 将文
    • Organizer
      トポロジーが紡ぐ物質科学のフロンティア 第4回領域研究会
    • Related Report
      2018 Annual Research Report
    • Invited
  • [Presentation] 量子スピン液体の素励起2018

    • Author(s)
      宇田川 将文
    • Organizer
      第12回物性科学領域横断研究会 凝縮系科学の最前線
    • Related Report
      2018 Annual Research Report
    • Invited
  • [Presentation] Kitaev スピン液体の動的相関2018

    • Author(s)
      宇田川 将文
    • Organizer
      日本物理学会
    • Related Report
      2018 Annual Research Report
  • [Presentation] Kitaev スピン液体におけるVison の検出2018

    • Author(s)
      宇田川 将文
    • Organizer
      日本物理学会
    • Related Report
      2018 Annual Research Report
  • [Presentation] Dynamical properties of fractional excitations in Kitaev spin liquids2017

    • Author(s)
      M. Udagawa
    • Organizer
      APS March meeting (2017)
    • Place of Presentation
      New Orleans
    • Year and Date
      2017-03-13
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Effect of interaction between fractional excitations on J1-J2-J3 Ising model on a kagome lattice2017

    • Author(s)
      T. Mizoguchi, L. D. C. Jaubert, M. Udagawa
    • Organizer
      APS March meeting (2017)
    • Place of Presentation
      New Orleans
    • Year and Date
      2017-03-13
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Cascade of charge density waves in type-II Weyl materials and magnetotransport2017

    • Author(s)
      M. Trescher, J. Knolle, E. J. Bergholtz, M. Udagawa
    • Organizer
      APS March meeting (2017)
    • Place of Presentation
      New Orleans
    • Year and Date
      2017-03-13
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Fractional Excitations in Spin Ice2017

    • Author(s)
      M. Udagawa
    • Organizer
      Theory of Correlated Topological Materials
    • Place of Presentation
      Kashiwa
    • Year and Date
      2017-02-06
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Clustering of topological charges and novel classical spin liquid in kagome Ising model2017

    • Author(s)
      T. Mizoguchi, L. D. C. Jaubert, and M. Udagawa
    • Organizer
      Variety and universality of bulk-edge correspondence in topological phases (BEC2018)
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] パイロクロア格子ハイゼンベルグ模型におけるスピンのクラスタ化とそのダイナミクス2017

    • Author(s)
      溝口知成、Ludovic D. C. Jaubert、宇田川将文
    • Organizer
      日本物理学会 第73回年次大会
    • Related Report
      2017 Annual Research Report
  • [Presentation] 遷移金属スピネルにおけるスピン分子励起のトポロジカル描像2017

    • Author(s)
      溝口知成、宇田川将文
    • Organizer
      日本物理学会 2017年秋季大会
    • Related Report
      2017 Annual Research Report
  • [Presentation] ガウスの法則を用いたスピンアイス型模型の基底状態相図の導出2017

    • Author(s)
      溝口知成、Ludovic D. C. Jaubert、宇田川将文
    • Organizer
      日本物理学会 2017年秋季大会
    • Related Report
      2017 Annual Research Report
  • [Presentation] Recombination of Fractional Excitations in Frustrated Magnets2017

    • Author(s)
      M. Udagawa
    • Organizer
      Asia Pacific Workshop on Quantum Magnetism
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Fractional excitations of quantum spin ice in pre-coherency temperature range2017

    • Author(s)
      M. Udagawa
    • Organizer
      International conferences on Frustrated Magnetism
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Local and global magnetic response of Kitaev spin liquids2017

    • Author(s)
      M. Udagawa
    • Organizer
      TMS-EPiQS 2nd Alliance Workshop: Topological magnets and topological superconductors
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Recombination of fractional excitations2016

    • Author(s)
      M. Udagawa
    • Organizer
      第2回TMS領域研究会(TMS2016)
    • Place of Presentation
      東北大学
    • Year and Date
      2016-12-16
    • Related Report
      2016 Annual Research Report
  • [Presentation] Recombination of fractional excitations in frustrated magnets2016

    • Author(s)
      M. Udagawa
    • Organizer
      EPiQS-TMS Trans-Pacific Conference
    • Place of Presentation
      Moorea
    • Year and Date
      2016-12-03
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 第二種Weyl 半金属における量子異常2016

    • Author(s)
      宇田川将文
    • Organizer
      日本物理学会秋期大会(2016)
    • Place of Presentation
      金沢大学
    • Year and Date
      2016-09-14
    • Related Report
      2016 Annual Research Report
  • [Presentation] 古典スピン液体における分数励起間相互作用の効果2016

    • Author(s)
      溝口知成、L. D. C. Jaubert, 宇田川 将文
    • Organizer
      日本物理学会秋期大会(2016)
    • Place of Presentation
      金沢大学
    • Year and Date
      2016-09-14
    • Related Report
      2016 Annual Research Report
  • [Book] 物理科学, この1年 20202020

    • Author(s)
      パリティ編集委員会、大槻 義彦
    • Total Pages
      166
    • Publisher
      丸善出版
    • ISBN
      9784621304860
    • Related Report
      2019 Annual Research Report
  • [Remarks] 宇田川研究室のホームページ

    • URL

      https://www-cc.gakushuin.ac.jp/~20150035/Welcome.html

    • Related Report
      2019 Annual Research Report

URL: 

Published: 2016-04-21   Modified: 2022-06-10  

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