Tensor-network study of the ground state of the maple-leaf Heisenberg antiferromagnet.

We study the quantum phase diagram of the spin-1/2 nearest-neighbor Heisenberg model on the maple-leaf lattice using infinite projected entangled pair states (iPEPS) combined with a corner transfer matrix renormalization group scheme adapted to C-symmetric lattices. Focusing on the fully antiferroma...

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Published in:Zeitschrift für Naturforschung Section A: A Journal of Physical Sciences Vol. 81; no. 6; pp. 453 - 460
Main Authors: Nyckees, Samuel, Ghosh, Pratyay, Mila, Frédéric
Format: Article
Published: De Gruyter Jun2026
Subjects:
Online Access:View this record in EBSCOhost
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      dt: Jun2026
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        10.1515/zna-2025-0409
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        atl: Tensor-network study of the ground state of the maple-leaf Heisenberg antiferromagnet.
      aug:
        au:
          Nyckees, Samuel
          Ghosh, Pratyay
          Mila, Frédéric
        affil:
          Institute of Physics, Ecole Polytechnique Fédérale de Lausanne (EPFL), CH-1015 Lausanne, Switzerland
          Now at Université Grenoble Alpes, CEA List, 38000 Grenoble, France
      su:
        Heisenberg model
        Antiferromagnetism
        Heisenberg, Werner, 1901-1976
        Magnetic structure
        Phase diagrams
        Quantum phase transitions
      sug:
        subj:
          Heisenberg model
          Antiferromagnetism
          Heisenberg, Werner, 1901-1976
          Magnetic structure
          Phase diagrams
          Quantum phase transitions
      keyword:
        antiferromagnet
        exact dimer
        frustrated magnetism
        spin models
        tensor
        tensor network
      ab: We study the quantum phase diagram of the spin-1/2 nearest-neighbor Heisenberg model on the maple-leaf lattice using infinite projected entangled pair states (iPEPS) combined with a corner transfer matrix renormalization group scheme adapted to C-symmetric lattices. Focusing on the fully antiferromagnetic J–J model with J = J ≔ J, we map out the ground-state phase diagram as a function of the dimer coupling J. Our results show that the system hosts only two phases: a magnetically ordered canted-120° phase and an exact dimer singlet product phase. We identify a first-order transition between these two phases at J/J ≈ 1.45. Within the magnetically ordered phase, we observe small but finite magnetic moments. We also resolve the quantum renormalization of the canting angle, which deviates from the classical prediction over almost the entire magnetically ordered phase.
      pubtype: Academic Journal
      doctype: Article
      src: R
    language: English
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          year: 2026
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