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Theoretical study of strongly correlated electron systems on geometrically frustrated lattices

Research Project

Project/Area Number 24740221
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeMulti-year Fund
Research Field Condensed matter physics II
Research InstitutionThe University of Tokyo

Principal Investigator

UDAGAWA Masafumi  東京大学, 工学(系)研究科(研究院), 助教 (80431790)

Project Period (FY) 2012-04-01 – 2015-03-31
Project Status Completed (Fiscal Year 2014)
Budget Amount *help
¥3,120,000 (Direct Cost: ¥2,400,000、Indirect Cost: ¥720,000)
Fiscal Year 2014: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2013: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2012: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Keywords幾何学的フラストレーション / 量子ホール効果 / スピンアイス / パイロクロア格子 / 分数量子ホール効果 / Weyl半金属 / カイラリティー / パイロクロア化合物 / 磁気多極子 / ドメイン壁
Outline of Final Research Achievements

In this project, I have carried out an extensive analysis on electronic systems on a pyrochlore lattice, one of the lattices classified as complete graph, and obtained several important results. Firstly, we gave an explanation to various properties in a magnetically ordered phase, with all-in/all-out type magnetic order, by focusing on the role of domain walls, and also discussed the controllability of domain wall with electric current. Secondly, I discussed the possible existence of composite excitation, which we call monopole ring, in itinerant spin ice system, and also proposed that this monopole ring excitation may explain the spontaneous Hall effect observed in Pr2Ir2O7. And thirdly, I showed the possible existence of Abelian and non-Abelian fractional quantum Hall effect on the surface of layered pyrochlore systems, as a result of interplay between electron interaction and topological nature of the surface inherited from the Weyl semimetal state realized in the bulk.

Report

(4 results)
  • 2014 Annual Research Report   Final Research Report ( PDF )
  • 2013 Research-status Report
  • 2012 Research-status Report
  • Research Products

    (45 results)

All 2015 2014 2013 2012 Other

All Journal Article (22 results) (of which Peer Reviewed: 22 results,  Acknowledgement Compliant: 9 results,  Open Access: 3 results) Presentation (22 results) (of which Invited: 4 results) Remarks (1 results)

  • [Journal Article] Entanglement Spectrum in Cluster Dynamical Mean-Field Theory2015

    • Author(s)
      Masafumi Udagawa, Yukitoshi Motome
    • Journal Title

      Journal of Statistical Mechanics

      Volume: 2015 Issue: 1 Pages: P01016-P01016

    • DOI

      10.1088/1742-5468/2015/01/p01016

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Topology and Interactions in a Frustrated Slab: Tuning from Weyl Semimetals to C > 1 Fractional Chern Insulators2015

    • Author(s)
      E.J. Bergholtz, Zhao Liu, M. Trescher, R. Moessner, M. Udagawa
    • Journal Title

      Physical Review Letters

      Volume: 114 Issue: 1 Pages: 016806-016806

    • DOI

      10.1103/physrevlett.114.016806

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Low-energy Majorana states in spin liquid transitions in a three-dimensional Kitaev model2015

    • Author(s)
      Joji Nasu, Masafumi Udagawa, and Yukitoshi Motome
    • Journal Title

      Journal of Physics: Conference Series

      Volume: 592 Pages: 012115-012115

    • DOI

      10.1088/1742-6596/592/1/012115

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Surface and interface effects on a magnetic Chern insulator2015

    • Author(s)
      R. Ozawa, M. Udagawa, Y. Akagi, and Y. Motome,
    • Journal Title

      Journal of Physics: Conference Series

      Volume: 592 Pages: 012130-012130

    • DOI

      10.1088/1742-6596/592/1/012130

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Finite-Temperature Phase Transition to a Quantum Spin Liquid in a Three-Dimensional Kitaev Model on a Hyperhoneycomb Lattice2014

    • Author(s)
      J. Nasu, T. Kaji, K. Matsuura, M. Udagawa, Y. Motome
    • Journal Title

      Physical Review B

      Volume: 89 Issue: 11 Pages: 115125-115125

    • DOI

      10.1103/physrevb.89.115125

    • Related Report
      2014 Annual Research Report 2013 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Reconstruction of Chiral Edge States in a Magnetic Chern Insulator2014

    • Author(s)
      Ryo Ozawa, Masafumi Udagawa, Yutaka Akagi, and Yukitoshi Motome
    • Journal Title

      Journal of the Physical Society of Japan

      Volume: 83 Issue: 7 Pages: 073706-073706

    • DOI

      10.7566/jpsj.83.073706

    • NAID

      210000133166

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Vaporization of Kitaev spin liquids2014

    • Author(s)
      Joji Nasu, Masafumi Udagawa, Yukitoshi Motome
    • Journal Title

      Physical Review Letters

      Volume: 113 Issue: 19 Pages: 197205-197205

    • DOI

      10.1103/physrevlett.113.197205

    • NAID

      120005537754

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Correlations and entanglement in flat band models with variable Chern numbers2014

    • Author(s)
      Masafumi Udagawa, Emil J. Bergholtz
    • Journal Title

      Journal of Statistical Mechanics

      Volume: 2014 Issue: 10 Pages: P10012-P10012

    • DOI

      10.1088/1742-5468/2014/10/p10012

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Spin-orbit Coupling and Multiple Phases in Spin-triplet Superconductor Sr$_2$RuO$_4$2014

    • Author(s)
      Youichi Yanase, Shuhei Takamatsu, Masafumi Udagawa
    • Journal Title

      Journal of the Physical Society of Japan

      Volume: 83 Issue: 6 Pages: 061019-061019

    • DOI

      10.7566/jpsj.83.061019

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Spin-orbit Coupling and Multiple phases in Spin-triplet Superconductor Sr2RuO42014

    • Author(s)
      Y. Yanase, S. Takamatsu and M. Udagawa
    • Journal Title

      Journal of the Physical Society of Japan

      Volume: 未決定

    • NAID

      210000133114

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] Monte Carlo Study of an Effective Ising Model for the Spin-ice type Kondo Lattice Model2014

    • Author(s)
      H. Ishizuka, M. Udagawa and Y. Motome
    • Journal Title

      Journal of the Physical Society of Japan

      Volume: 未決定

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] Linear Spin Wave Analysis for General Magnetic Orders in the Kondo Lattice Model2014

    • Author(s)
      Y. Akagi, M. Udagawa and Y. Motome
    • Journal Title

      Journal of the Physical Society of Japan

      Volume: 未決定

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] “Invariant Energy Levels and Flat Band Engineering in a Kondo Lattice Model on Geometrically Frustrated Lattices2014

    • Author(s)
      M. Udagawa, H. Ishizuka and Y. Motome
    • Journal Title

      Journal of the Physical Society of Japan

      Volume: 未決定

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] Anomalous Hall effect from frustration-tuned scalar chirality distribution in Pr2Ir2O72013

    • Author(s)
      M. Udagawa and R. Moessner
    • Journal Title

      Physical Review Letters

      Volume: 111 Issue: 3

    • DOI

      10.1103/physrevlett.111.036602

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] Polynomial expansion Monte Carlo study of frustrated itinerant electron systems : application to a spin-ice type Kondo lattice model on a pyrochlore lattice2013

    • Author(s)
      H. Ishizuka, M. Udagawa, and Y. Motome
    • Journal Title

      Comput. Phys. Commun.

      Volume: 184 Issue: 12 Pages: 2684-2692

    • DOI

      10.1016/j.cpc.2013.07.009

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] Effect of Quantum Spin Fluctuation on Scalar Chiral Ordering in the Kondo Lattice Model on a Triangular Lattice2013

    • Author(s)
      Yutaka Akagi, Masafumi Udagawa, and Yukitoshi Motome
    • Journal Title

      Journal of the Physical Society of Japan

      Volume: 82 Issue: 12 Pages: 123709-123712

    • DOI

      10.7566/jpsj.82.123709

    • NAID

      210000132859

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] Non-Kondo mechanism for resistivity minimum in spin ice conduction systems2012

    • Author(s)
      Masafumi Udagawa, Hiroaki Ishizuka
    • Journal Title

      Physical Review Letters

      Volume: 108 Issue: 6 Pages: 66406-66406

    • DOI

      10.1103/physrevlett.108.066406

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] Hidden Multiple-Spin Interactions as an Origin of Spin Scalar Chiral Order in Frustrated Kondo Lattice Models2012

    • Author(s)
      Yutaka Akagi, Masafumi Udagawa, Yukitoshi Motome
    • Journal Title

      Physical Review Letters

      Volume: 108 Issue: 9 Pages: 96401-96401

    • DOI

      10.1103/physrevlett.108.096401

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] Partial Disorder and Metal-Insulator Transition in the Periodic Anderson Model on a Triangular Lattice2012

    • Author(s)
      S. Hayami, M. Udagawa, Y. Motome
    • Journal Title

      Journal of Physical Society of Japan

      Volume: 81 Issue: 10 Pages: 103707-103707

    • DOI

      10.1143/jpsj.81.103707

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] Magnetic Order and Charge Disproportionation in a Spin-ice type Kondo Lattice Model : Large Scale Monte Carlo Study2012

    • Author(s)
      H. Ishizuka, M. Udagawa, Y Motome
    • Journal Title

      Journal of the Physical Society of Japan

      Volume: 81 Issue: 11 Pages: 113706-113706

    • DOI

      10.1143/jpsj.81.113706

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] Carrier doping to a partially disordered state in the periodic Anderson model on a triangular lattice2012

    • Author(s)
      S. Hayami, M. Udagawa and Y. Motome
    • Journal Title

      Journal of Physics: Conference series

      Volume: 400 Issue: 3 Pages: 32018-21

    • DOI

      10.1088/1742-6596/400/3/032018

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] Application of polynomial-expansion Monte Carlo method to a snin-ice Kondo lattice model2012

    • Author(s)
      H. Ishizuka, M. Udagawa, Y Motome
    • Journal Title

      Journal of Physics : Conference Series

      Volume: 400 Issue: 3 Pages: 32027-30

    • DOI

      10.1088/1742-6596/400/3/032027

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Presentation] Emergent collective excitations and anomalous dynamics of spin ice with short-range interaction2015

    • Author(s)
      Masafumi Udagawa, Ludovic Jaubert, Claudio Castelnovo, Roderich Moessner
    • Organizer
      ISSP-MPIPKS Joint Workshop, "Dynamics of Strongly Correlated Systems"
    • Place of Presentation
      東京大学物性研究所, 柏
    • Year and Date
      2015-03-30 – 2015-03-31
    • Related Report
      2014 Annual Research Report
  • [Presentation] 遍歴電子系における幾何学的フラストレーション効果の理論的研究2015

    • Author(s)
      宇田川 将文
    • Organizer
      2015年度日本物理学会年次大会
    • Place of Presentation
      早稲田大学, 東京
    • Year and Date
      2015-03-21
    • Related Report
      2014 Annual Research Report
  • [Presentation] 層状Weyl半金属系における電子間相互作用効果2015

    • Author(s)
      宇田川 将文
    • Organizer
      実験と計算科学の協奏が拓く物質科学・物質開発のフロンティア
    • Place of Presentation
      東京大学, 東京
    • Year and Date
      2015-03-18 – 2015-03-19
    • Related Report
      2014 Annual Research Report
  • [Presentation] パイロクロア伝導体のトポロジカル欠陥2014

    • Author(s)
      宇田川 将文
    • Organizer
      九工大物性ワークショップ
    • Place of Presentation
      九州工業大学, 小倉
    • Year and Date
      2014-11-22 – 2014-11-23
    • Related Report
      2014 Annual Research Report
  • [Presentation] Novel routes for monopole freezing in spin ice2014

    • Author(s)
      Masafumi Udagawa, Ludovic Jaubert, Claudio Castelnovo, Roderich Moessner
    • Organizer
      Novel Quantum States in Condensed Matter 2014
    • Place of Presentation
      京都大学, 京都
    • Year and Date
      2014-11-10
    • Related Report
      2014 Annual Research Report
  • [Presentation] パイロクロア伝導体のトポロジカル欠陥2014

    • Author(s)
      宇田川将文, 求幸年
    • Organizer
      「特異な結晶構造に創出する新奇量子相の解明」研究会
    • Place of Presentation
      首都大学東京, 南大沢
    • Year and Date
      2014-09-26
    • Related Report
      2014 Annual Research Report
  • [Presentation] All-in/All-out 型磁性体における電流によるドメイン生成2014

    • Author(s)
      宇田川将文, 求幸年
    • Organizer
      2014年度秋期日本物理学会
    • Place of Presentation
      近畿大学, 大阪
    • Year and Date
      2014-09-07 – 2014-09-10
    • Related Report
      2014 Annual Research Report
  • [Presentation] Novel routes for monopole freezing in spin ice2014

    • Author(s)
      Masafumi Udagawa, Ludovic Jaubert, Claudio Castelnovo, Roderich Moessner
    • Organizer
      2014年度秋期日本物理学会
    • Place of Presentation
      近畿大学, 大阪
    • Year and Date
      2014-09-07 – 2014-09-10
    • Related Report
      2014 Annual Research Report
  • [Presentation] Transport theory of itinerant spin ice2014

    • Author(s)
      Masafumi Udagawa
    • Organizer
      International Conference on Highly Frustrated Magnetism
    • Place of Presentation
      Cambridge University, Cambridge, Britain
    • Year and Date
      2014-07-07 – 2014-07-11
    • Related Report
      2014 Annual Research Report
  • [Presentation] Domain wall creation by electric current in All-in/All-out magnets2014

    • Author(s)
      Masafumi Udagawa
    • Organizer
      New Horizon of Strongly Correlated Physics
    • Place of Presentation
      東京大学物性研究所, 柏
    • Year and Date
      2014-07-01
    • Related Report
      2014 Annual Research Report
  • [Presentation] Transport Theory of Pyrochlore Conductors2014

    • Author(s)
      Masafumi Udagawa
    • Organizer
      The OIST International Workshop on Novel Quantum Materials and Phases
    • Place of Presentation
      沖縄科学技術大学院大学, 沖縄
    • Year and Date
      2014-05-14 – 2014-05-17
    • Related Report
      2014 Annual Research Report
  • [Presentation] Itinerant Spin Ice2014

    • Author(s)
      M. Udagawa, H. Ishizuka and Y. Motome
    • Organizer
      APS March Meeting 2014
    • Place of Presentation
      Denver, Colorado, USA
    • Related Report
      2013 Research-status Report
    • Invited
  • [Presentation] Transport theory of pyrochlore conductors2014

    • Author(s)
      M. Udagawa
    • Organizer
      The OIST International Workshop on Novel Quantum Materials and Phases
    • Place of Presentation
      沖縄科学技術大学院大学, 沖縄
    • Related Report
      2013 Research-status Report
  • [Presentation] Transport theory of spin ice conduction systems2013

    • Author(s)
      M. Udagawa, H. Ishizuka and Y. Motome
    • Organizer
      The International Conference on Strongly Correlated Electron Systems
    • Place of Presentation
      東京大学, 東京
    • Related Report
      2013 Research-status Report
  • [Presentation] Topological defects in pyrochlore conductors2013

    • Author(s)
      M. Udagawa
    • Organizer
      International Workshop for Young Researchers on Topological Quantum Phenomena
    • Place of Presentation
      沖縄県宜野湾市, 沖縄
    • Related Report
      2013 Research-status Report
  • [Presentation] パイロクロア伝導系のホール応答2013

    • Author(s)
      宇田川 将文
    • Organizer
      第一回パイロクロアワーク ショップ
    • Place of Presentation
      北海道大学, 北海道
    • Related Report
      2013 Research-status Report
    • Invited
  • [Presentation] パイロクロア伝導系のall-in/all-out 秩序相における磁性と伝導現象2013

    • Author(s)
      宇田川将文, 求幸年
    • Organizer
      2013 年日本物理学会秋期大会
    • Place of Presentation
      徳島大学, 徳島
    • Related Report
      2013 Research-status Report
  • [Presentation] ライングラフ上で定義されたHubbard model の強相関極限の性質2013

    • Author(s)
      宇田川将文, 求幸年
    • Organizer
      2013 年日本物理学会秋期大会
    • Place of Presentation
      徳島大学, 徳島
    • Related Report
      2013 Research-status Report
  • [Presentation] Non-Kondo resistivity minimum in spin ice conduction systems2012

    • Author(s)
      Masafumi Udagawa
    • Organizer
      International workshop on Itinerant Spin-Orbital Systems
    • Place of Presentation
      Dresden, Germany
    • Related Report
      2012 Research-status Report
    • Invited
  • [Presentation] Transport theory of conduction electron systems coupled with spin ice2012

    • Author(s)
      Masafumi Udagawa
    • Organizer
      Japan-Switzerland Joint Workshop ”Current Topics in Theory of Correlated Materials”
    • Place of Presentation
      埼玉県、理化学研究所
    • Related Report
      2012 Research-status Report
    • Invited
  • [Presentation] Transport theory of spin ice conduction systems2012

    • Author(s)
      M. Udagawa, H. Ishizuka and Y. Motome
    • Organizer
      International Conference on Highly Frustrated Magnetism
    • Place of Presentation
      Hamilton, Canada
    • Related Report
      2012 Research-status Report
  • [Presentation] Entanglement spectrum in the cluster DMFT2012

    • Author(s)
      M. Udagawa and Y. Motome
    • Organizer
      International Workshop on Entanglement Spectra in Complex Quantum Wavefunctions
    • Place of Presentation
      Dresden, Germany
    • Related Report
      2012 Research-status Report
  • [Remarks] 宇田川 将文のホームページ

    • URL

      http://www.motome-lab.t.u-tokyo.ac.jp/udagawa/saito/Welcome.html

    • Related Report
      2012 Research-status Report

URL: 

Published: 2013-05-31   Modified: 2020-05-15  

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