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Kinetic Kagome Magnetism: From Self-Trapping RVB Polarons to Semiclassical Correlations

Yufei Pei1,2, Shuai A. Chen2, Claudio Castelnovo1, and Roderich Moessner2

Phys. Rev. Lett. 137, 106702 – Published 31 August, 2026

DOI: https://doi.org/10.1103/zbxv-vtq8

Abstract

To gain deeper insight into the role of hole kinetics in determining magnetism in highly frustrated doped Mott insulators, we consider the single-hole counter-Nagaoka problem on the kagome lattice, using magnetization as a tuning parameter. Near full polarization, a doped hole delocalizes upon binding reversed spins in a pattern of singlet bonds which we term resonating-valence-bond (RVB) polaron. These RVB polarons can have extremely small effective bandwidths, and hence exhibit self-trapping. By tuning the spin polarization, we track the evolution of these states toward the unpolarized sector, where we observe the emergence of 3×3 antiferromagnetic correlation reminiscent of the classical Potts and Heisenberg models on the kagome lattice. These results provide a framework to understand how RVB physics at short scales evolves into conventional magnetic correlations at long scales.

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References (39)

  1. D. J. Thouless, Exchange in solid He3 and the Heisenberg Hamiltonian, Proc. Phys. Soc. London 86, 893 (1965).
  2. Y. Nagaoka, Ferromagnetism in a narrow, almost half-filled s band, Phys. Rev. 147, 392 (1966).
  3. H. Tasaki, Extension of Nagaoka’s theorem on the large-U Hubbard model, Phys. Rev. B 40, 9192 (1989).
  4. A. Mielke, Exact results for the U=∞ Hubbard model, J. Phys. A 25, 6507–6515 (1992).
  5. U. Brandt and A. Giesekus, Hubbard and Anderson models on perovskitelike lattices: Exactly solvable cases, Phys. Rev. Lett. 68, 2648–2651 (1992).
  6. H. Tasaki, Exact resonating-valence-bond ground state and possibility of superconductivity in repulsive Hubbard models, Phys. Rev. Lett. 70, 3303–3306 (1993).
  7. K. Penc and R. Lacaze, spl(2,1) dynamical supersymmetry and suppression of ferromagnetism in flat-band double-exchange models, Europhys. Lett. 48, 561 (1999).
  8. J. O. Haerter and B. S. Shastry, Kinetic antiferromagnetism in the triangular lattice, Phys. Rev. Lett. 95, 087202 (2005).
  9. S. V. Iordanskiĭ and A. V. Smirnov, Magnetic structures in the Hubbard model with nearly half-filled band for nonalternating lattices, Sov. Phys. JETP 52, 981 (1980).
  10. C. N. Sposetti, B. Bravo, A. E. Trumper, C. J. Gazza, and L. O. Manuel, Classical antiferromagnetism in kinetically frustrated electronic models, Phys. Rev. Lett. 112, 187204 (2014).
  11. Z. Zhang and C. Glittum, Resonating valence bond ground states on corner-sharing simplices, arXiv:2507.10471.
  12. K.-S. Kim, Exact hole-induced resonating-valence-bond ground state in certain U=∞ Hubbard models, Phys. Rev. B 107, L140401 (2023).
  13. C. Glittum, A. Štrkalj, D. Prabhakaran, P. A. Goddard, C. D. Batista, and C. Castelnovo, A resonant valence bond spin liquid in the dilute limit of doped frustrated Mott insulators, Nat. Phys. 21, 1211 (2025).
  14. H.-C. Jiang, T. Devereaux, and S. A. Kivelson, Holon Wigner crystal in a lightly doped kagome quantum spin liquid, Phys. Rev. Lett. 119, 067002 (2017).
  15. Z. Zhu, D. Sheng, and A. Vishwanath, Doped Mott insulators in the triangular-lattice Hubbard model, Phys. Rev. B 105, 205110 (2022).
  16. S. A. Chen, Q. Chen, and Z. Zhu, Proposal for asymmetric photoemission and tunneling spectroscopies in quantum simulators of the triangular-lattice Fermi-Hubbard model, Phys. Rev. B 106, 085138 (2022).
  17. I. Morera, M. Kanász-Nagy, T. Smolenski, L. Ciorciaro, A. Imamoğlu, and E. Demler, High-temperature kinetic magnetism in triangular lattices, Phys. Rev. Res. 5, L022048 (2023).
  18. Y. Tang, L. Li, T. Li, Y. Xu, S. Liu, K. Barmak, K. Watanabe, T. Taniguchi, A. H. MacDonald, J. Shan et al., Simulation of Hubbard model physics in WSe2/WS2 moiré superlattices, Nature (London) 579, 353 (2020).
  19. L. Ciorciaro, T. Smoleński, I. Morera, N. Kiper, S. Hiestand, M. Kroner, Y. Zhang, K. Watanabe, T. Taniguchi, E. Demler et al., Kinetic magnetism in triangular moiré materials, Nature (London) 623, 509 (2023).
  20. M. Xu, L. H. Kendrick, A. Kale, Y. Gang, G. Ji, R. T. Scalettar, M. Lebrat, and M. Greiner, Frustration-and doping-induced magnetism in a Fermi-Hubbard simulator, Nature (London) 620, 971 (2023).
  21. M. Lebrat, M. Xu, L. H. Kendrick, A. Kale, Y. Gang, P. Seetharaman, I. Morera, E. Khatami, E. Demler, and M. Greiner, Observation of Nagaoka polarons in a Fermi–Hubbard quantum simulator, Nature (London) 629, 317 (2024).
  22. M. L. Prichard, B. M. Spar, I. Morera, E. Demler, Z. Z. Yan, and W. S. Bakr, Directly imaging spin polarons in a kinetically frustrated Hubbard system, Nature (London) 629, 323 (2024).
  23. A. Mielke, Ferromagnetism in the Hubbard model on line graphs and further considerations, J. Phys. A 24, 3311 (1991).
  24. A. Mielke, Exact ground states for the Hubbard model on the kagome lattice, J. Phys. A 25, 4335 (1992).
  25. C. Lanczos, An iteration method for the solution of the eigenvalue problem of linear differential and integral operators, J. Res. Natl Bur. Stand. 45, 255 (1950).
  26. A. Wietek, L. Staszewski, M. Ulaga, P. L. Ebert, H. Karlsson, S. Sarkar, L. Shackleton, A. Sinha, and R. D. Soares, XDiag: Exact diagonalization for quantum many-body systems, SciPost Phys. Codebases 70 (2026).
  27. J. Hauschild et al., Tensor network python (tenpy) version 1, SciPost Phys. Codebases 41 (2024).
  28. With subtle exceptions due to band touching at the Γ point [29].

  29. D. L. Bergman, C. Wu, and L. Balents, Band touching from real-space topology in frustrated hopping models, Phys. Rev. B 78, 125104 (2008).
  30. S.-S. Zhang, W. Zhu, and C. D. Batista, Pairing from strong repulsion in triangular lattice Hubbard model, Phys. Rev. B 97, 140507 (2018).
  31. See Supplemental Material at http://link.aps.org/supplemental/10.1103/zbxv-vtq8 for additional numerical data and an independent analysis of the 12-site system identified in the main text. It also includes the additional Refs. [32,33].
  32. R. R. P. Singh and D. A. Huse, Ground state of the spin-1/2 kagome-lattice Heisenberg antiferromagnet, Phys. Rev. B 76, 180407(R) (2007).
  33. R. Baxter, Colorings of a hexagonal lattice, J. Math. Phys. (N.Y.) 11, 784 (1970).
  34. These states are superpositions of the hole at any of the sites on the cluster, and all electrons paired into nearest-neighbor singlets. A property of the Husimi cactus is that the singlet pattern is uniquely determined by the hole position.

  35. We added a small uniform pinning potential around a given hexagonal plaquette to select one of the GSs (see End Matter).

  36. This result is further supported by ED on a finite region of the lattice given by the sites where the reversed spins are localized. The correlators obtained from the ED GS are indeed in good agreement with the ones obtained from DMRG on the full system (see Supplemental Material [31]).

  37. Linear system sizes multiple of 3 were chosen to ensure commensurability.

  38. D. A. Huse and A. D. Rutenberg, Classical antiferromagnets on the kagomé lattice, Phys. Rev. B 45, 7536 (1992).
  39. G.-W. Chern and R. Moessner, Dipolar order by disorder in the classical Heisenberg antiferromagnet on the kagome lattice, Phys. Rev. Lett. 110, 077201 (2013).

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