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arXiv · 2511.21806

Thermodynamics of the Heisenberg antiferromagnet on the maple-leaf lattice

Robin Schäfer·Paul L. Ebert·Noah Hassan·Johannes Reuther·David J. Luitz·Alexander Wietek
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Abstract

We study the Heisenberg antiferromagnet on the maple-leaf lattice using several numerical approaches, focusing on the numerical linked-cluster expansion (NLCE), which exhibits an unconventional convergence extending to low and even zero temperatures. We evaluate thermodynamic properties as well as spin-spin correlations through the equal-time structure factor. Within NLCE the specific heat capacity reveals a two-peak structure at $T_1 \approx 0.479\,J$ and $T_2 \approx 0.131\,J$, reminiscent of the corresponding result for the triangular lattice. At intermediate temperatures, the spin-spin structure factor develops features that reflect the absence of reflection symmetry in the lattice. The zero-temperature convergence of NLCE enables reliable estimates of the ground-state energy and points to a short-range correlated paramagnetic ground state composed of resonating hexagonal motifs. The NLCE results are benchmarked against Pseudo-Majorana Functional Renormalization Group, finite-temperature Lanczos, and classical Monte Carlo simulations.

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Robin Schäfer, Paul L. Ebert, Noah Hassan, Johannes Reuther, David J. Luitz, Alexander Wietek. 2025-11-26. Thermodynamics of the Heisenberg antiferromagnet on the maple-leaf lattice. https://doi.org/10.1515/zna-2025-0382

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