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    Engineering biquadratic interactions in spin-1 chains by spin-12 spacers

    Yasser Saleem1,2,*, Weronika Pasek3,*, Marek Korkusinski4,5, Moritz Cygorek1, and Paweł Potasz3

    • 1Condensed Matter Theory, Department of Physics, TU Dortmund, 44221 Dortmund, Germany
    • 2Institute for Theoretical Physics and Astrophysics, and Würzburg-Dresden Cluster of Excellence on Complexity and Topology in Quantum Matter ct.qmat, Julius-Maximilians-Universität Würzburg, Am Hubland, D-97074 Würzburg, Germany
    • 3Institute of Physics, Faculty of Physics, Astronomy and Informatics, Nicolaus Copernicus University, Grudziadzka 5, 87-100 Toruń, Poland
    • 4Department of Physics, University of Ottawa, Ottawa K1N 6N5, Canada
    • 5Security and Disruptive Technologies, National Research Council, Ottawa K1A 0R6, Canada

    • *These authors contributed equally to this work.

    Phys. Rev. B 113, 235143 – Published 23 June, 2026

    DOI: https://doi.org/10.1103/h7z2-rft1

    Abstract

    Low-dimensional quantum systems host a variety of exotic states, such as symmetry-protected topological ground states in spin-1 Haldane chains. Real-world realizations of such states could serve as practical quantum simulators for quantum phases if the interactions can be controlled. However, many proposed models, such as the Affleck-Kennedy-Lieb-Tasaki (AKLT) state, require unconventional forms of spin interactions beyond standard Heisenberg terms, which do not naturally emerge from microscopic (Coulomb) interactions. Here, we demonstrate a general strategy to induce a biquadratic term between two spin-1 sites and to tune its strength β by placing pairs of spin-1/2 spacers in between them. β is controlled by the ratio of the Heisenberg couplings between the spin-1 sites and the spacer spins, and between the spacer spins themselves. Detailed atomistic calculations reveal that chains of nanographene flakes with 22 and 13 atoms, respectively, which could be realized by state-of-the-art bottom-up growth technology, yield precisely the couplings required to approach the AKLT state. These findings deliver a blueprint for engineering unconventional interactions in bottom-up synthesized quantum simulators.

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