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Kinetic Kagome Magnetism: From Self-Trapping RVB Polarons to Semiclassical Correlations
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 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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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.
We added a small uniform pinning potential around a given hexagonal plaquette to select one of the GSs (see End Matter).
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]).
Linear system sizes multiple of 3 were chosen to ensure commensurability.
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