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Thermodynamics of the S=12 maple-leaf Heisenberg antiferromagnet

Taras Hutak*

  • *Contact author: t.hutak@icmp.lviv.ua
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Phys. Rev. B 112, 104405 – Published 3 September, 2025

DOI: https://doi.org/10.1103/jmgz-dsk9

Abstract

The Heisenberg antiferromagnet on the maple-leaf lattice has recently gathered a great deal of attention. Competition between three nonequivalent bond interactions results in various ground-state quantum phases, with the exact dimer-product singlet ground state being among them. The thermodynamic properties of this model are much less understood. We used high-temperature expansion up to the 18th order to study the thermodynamics of the S=1/2 Heisenberg model on the uniform maple-leaf lattice with the ground state exhibiting a six-sublattice 120∘ long-range magnetic order. Padé approximants allow us to get reliable results up to the temperatures of about T≈0.4. To study thermodynamics for arbitrary temperatures, we made the interpolation using the entropy method. Based on the analysis of close Padé approximants, we find ground-state energy e0=−0.53064...−0.53023 in good agreement with numerical results. The specific heat c(T) has a typical maximum at rather low temperatures T≈0.379 and the uniform susceptibility χ(T) at T≈0.49. We also estimate the value of χ(T) at zero temperature χ0≈0.05...0.06. The ground-state order manifests itself in the divergence of the so-called generalized Wilson ratio.

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Phys. Rev. B 112, 104405– Published 3 September, 2025
  • Received 16 May 2025
  • Accepted 20 August 2025
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.

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