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Understanding novel quantum spin liquids with high energy theory

Research Project

Project/Area Number 18J10475
Research Category

Grant-in-Aid for JSPS Fellows

Allocation TypeSingle-year Grants
Section国内
Research Field Condensed matter physics II
Research InstitutionOkinawa Institute of Science and Technology Graduate University
Research Fellow YAN HAN  沖縄科学技術大学院大学, 科学技術研究科, 特別研究員(DC2)
Project Period (FY) 2018-04-25 – 2020-03-31
Project Status Completed (Fiscal Year 2019)
Budget Amount *help
¥1,900,000 (Direct Cost: ¥1,900,000)
Fiscal Year 2019: ¥900,000 (Direct Cost: ¥900,000)
Fiscal Year 2018: ¥1,000,000 (Direct Cost: ¥1,000,000)
Keywordsfrustrated magnetism / fracton / holography / machine learning / spin liquid
Outline of Annual Research Achievements

In the second year of my JSPS Fellowship, I have built further on the spectacular progress I made during the first year.
My main focus has been on a simple model of fracton excitations in a curved space. In 2019, I showed how my model could reproduce key results from the holographic formulation of quantum gravity, including the iconic Ryu-Takanagi formula for entanglement entropy [H. Yan, Phys. Rev. B 99, 155126 (2019)]. In two further single-author papers, I have extended my work to reveal its connections with the bit-thread model [H. Yan, Phys. Rev. B 100, 245138 (2019)], and Lifshitz gravity [H. Yan, arXiv:1911.01007]. This is an impressive body of work, and has earned me considerable credit in the wider community.
My other contribution to the burgeoning field fractons is to show that a simple model of breathing-pyrochlore magnet meets the conditions needed to support fracton excitations. This work, which was described in last year's report, has also attracted considerable attention, and attracted invitations for seminars at PSI (Switzerland) and MIT. The associated paper [H. Yan et al., Phys. Rev. Lett 124, 127203 (2020)], was singled out as an Editor's Selection, and reviewed in an article in the APS Magazine "Physics".
In addition to this, I also worked on a collaborative project to explore whether machine-learning techniques could be used to identify and characterise spin liquids. This project was also a success, with the machine able to independently reconstruct the phase diagram of a model of quantum spin ice [J. Greitemann et al., Phys. Rev. B 100, 174408 (2019)]

Research Progress Status

令和元年度が最終年度であるため、記入しない。

Strategy for Future Research Activity

令和元年度が最終年度であるため、記入しない。

Report

(2 results)
  • 2019 Annual Research Report
  • 2018 Annual Research Report

Research Products

(17 results)

All 2020 2019 2018 Other

All Journal Article (6 results) (of which Int'l Joint Research: 6 results,  Peer Reviewed: 6 results) Presentation (6 results) (of which Int'l Joint Research: 3 results,  Invited: 1 results) Remarks (5 results)

  • [Journal Article] Rank-2 U(1) Spin Liquid on the Breathing Pyrochlore Lattice2020

    • Author(s)
      Yan Han、Benton Owen、Jaubert L. D. C.、Shannon Nic
    • Journal Title

      Physical Review Letters

      Volume: 124 Pages: 127203-127203

    • DOI

      10.1103/physrevlett.124.127203

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Hyperbolic fracton model, subsystem symmetry, and holography2019

    • Author(s)
      Yan Han
    • Journal Title

      Physical Review B

      Volume: 99 Pages: 245138-245138

    • DOI

      10.1103/physrevb.99.155126

    • Related Report
      2019 Annual Research Report 2018 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Identification of emergent constraints and hidden order in frustrated magnets using tensorial kernel methods of machine learning2019

    • Author(s)
      Greitemann Jonas、Liu Ke、Jaubert Ludovic D. C.、Yan Han、Shannon Nic、Pollet Lode
    • Journal Title

      Physical Review B

      Volume: 100 Pages: 174408-174408

    • DOI

      10.1103/physrevb.100.174408

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Hyperbolic fracton model, subsystem symmetry, and holography. II. The dual eight-vertex model2019

    • Author(s)
      Yan Han
    • Journal Title

      Physical Review B

      Volume: 100 Pages: 245138-245138

    • DOI

      10.1103/physrevb.100.245138

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Experimental signatures of emergent quantum electrodynamics in Pr2Hf2O72018

    • Author(s)
      Sibille Romain、Gauthier Nicolas、Yan Han、Ciomaga Hatnean Monica、Ollivier Jacques、Winn Barry、Filges Uwe、Balakrishnan Geetha、Kenzelmann Michel、Shannon Nic、Fennell Tom
    • Journal Title

      Nature Physics

      Volume: 14 Pages: 711-715

    • DOI

      10.1038/s41567-018-0116-x

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Half moons are pinch points with dispersion2018

    • Author(s)
      Yan Han、Pohle Rico、Shannon Nic
    • Journal Title

      Physical Review B

      Volume: 98 Pages: 1-5

    • DOI

      10.1103/physrevb.98.140402

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Presentation] Fracton Model and Holography2019

    • Author(s)
      Han Yan
    • Organizer
      Workshop on Quantum Information and String Theory
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Fracton States of Matter as Toy Models of Holography2019

    • Author(s)
      Han Yan
    • Organizer
      Youth Symposium on Theoretical High Energy Physics
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Fracton Topological Order and Holography2019

    • Author(s)
      Han Yan
    • Organizer
      APS March Meeting
    • Related Report
      2018 Annual Research Report
  • [Presentation] Fracton Topological Order and Holography2018

    • Author(s)
      Han Yan
    • Organizer
      Seminar at Institute for Quantum Information and Matter, Caltech
    • Related Report
      2018 Annual Research Report
  • [Presentation] Fracton Topological Order and Holography2018

    • Author(s)
      Han Yan
    • Organizer
      GLAM Special Seminar at Stanford University
    • Related Report
      2018 Annual Research Report
  • [Presentation] Fracton Topological Order and Holography2018

    • Author(s)
      Han Yan
    • Organizer
      Summer School on Collective Behaviours in Quantum Matter, ICTP
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research
  • [Remarks] A Recipe for Finding Fractons

    • URL

      https://physics.aps.org/articles/v13/s40

    • Related Report
      2019 Annual Research Report
  • [Remarks] Man versus machine: can AI do science?

    • URL

      https://www.oist.jp/news-center/news/2020/1/10/man-versus-machine-can-ai-do-science

    • Related Report
      2019 Annual Research Report
  • [Remarks] Theories Past and Present Show Quantum Connections

    • URL

      https://www.oist.jp/news-center/news/2019/5/28/theories-past-and-present-show-quantum-connections

    • Related Report
      2019 Annual Research Report
  • [Remarks] Half Moons and Pinch Points

    • URL

      https://www.oist.jp/news-center/news/2018/10/25/half-moons-and-pinch-points-same-physics-different-energy

    • Related Report
      2018 Annual Research Report
  • [Remarks] Seeing the Light?

    • URL

      https://www.oist.jp/news-center/news/2018/6/6/seeing-light-study-illuminates-how-quantum-magnets-mimic-light

    • Related Report
      2018 Annual Research Report

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Published: 2018-05-01   Modified: 2021-01-27  

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