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Unique magnetic transition process demonstrating the effectiveness of bond percolation theory in a quantum magnet

Author

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  • Xu-Guang Zheng

    (Saga University
    Tohoku University)

  • Ichihiro Yamauchi

    (Saga University)

  • Masato Hagihala

    (Japan Atomic Energy Agency)

  • Eiji Nishibori

    (University of Tsukuba)

  • Tatsuya Kawae

    (Kyushu University)

  • Isao Watanabe

    (RIKEN Nishina Center, RIKEN)

  • Tomoki Uchiyama

    (Tohoku University)

  • Ying Chen

    (Tohoku University)

  • Chao-Nan Xu

    (Tohoku University)

Abstract

Like the crystallization of water to ice, magnetic transition occurs at a critical temperature after the slowing down of dynamically fluctuating short-range correlated spins. Here, we report a unique type of magnetic transition characterized by a linear increase in the volume fraction of unconventional static short-range-ordered spin clusters, which triggered a transition into a long-range order at a threshold fraction perfectly matching the bond percolation theory in a new quantum antiferromagnet of pseudo-trigonal Cu4(OH)6Cl2. Static short-range order appeared in its Kagome lattice plane below ca. 20 K from a pool of coexisting spin liquid, linearly increasing its fraction to 0.492(8), then all Kagome spins transitioned into a stable two-dimensional spin order at TN = 5.5 K. Inspection on the magnetic interactions and quantum magnetism revealed an intrinsic link to the spin liquid material Herbertsmithite, ZnCu3(OH)6Cl2. The unconventional static nature of the short-range order was inferred to be due to a pinning effect by the strongly correlated coexisting spin liquids. This work presents a unique magnetic system to demonstrate a complete bond percolation process toward the critical transition. Meanwhile, the unconventionally developed magnetic order in this chemically clean system should shed new light on spin-liquid physics.

Suggested Citation

  • Xu-Guang Zheng & Ichihiro Yamauchi & Masato Hagihala & Eiji Nishibori & Tatsuya Kawae & Isao Watanabe & Tomoki Uchiyama & Ying Chen & Chao-Nan Xu, 2024. "Unique magnetic transition process demonstrating the effectiveness of bond percolation theory in a quantum magnet," Nature Communications, Nature, vol. 15(1), pages 1-12, December.
  • Handle: RePEc:nat:natcom:v:15:y:2024:i:1:d:10.1038_s41467-024-54335-6
    DOI: 10.1038/s41467-024-54335-6
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    References listed on IDEAS

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    1. Damjan Pelc & Marija Vučković & Mihael S. Grbić & Miroslav Požek & Guichuan Yu & Takao Sasagawa & Martin Greven & Neven Barišić, 2018. "Emergence of superconductivity in the cuprates via a universal percolation process," Nature Communications, Nature, vol. 9(1), pages 1-10, December.
    2. Xinyu Wu & Di Xiao & Chui-Zhen Chen & Jian Sun & Ling Zhang & Moses H. W. Chan & Nitin Samarth & X. C. Xie & Xi Lin & Cui-Zu Chang, 2020. "Scaling behavior of the quantum phase transition from a quantum-anomalous-Hall insulator to an axion insulator," Nature Communications, Nature, vol. 11(1), pages 1-7, December.
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