Thermodynamics of the Heisenberg antiferromagnet on the maple-leaf lattice
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| Main Authors: | , , , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866913006408957952 |
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| author | Schäfer, Robin Ebert, Paul L. Hassan, Noah Reuther, Johannes Luitz, David J. Wietek, Alexander |
| author_facet | Schäfer, Robin Ebert, Paul L. Hassan, Noah Reuther, Johannes Luitz, David J. Wietek, Alexander |
| contents | 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2511_21806 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Thermodynamics of the Heisenberg antiferromagnet on the maple-leaf lattice Schäfer, Robin Ebert, Paul L. Hassan, Noah Reuther, Johannes Luitz, David J. Wietek, Alexander Strongly Correlated Electrons 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. |
| title | Thermodynamics of the Heisenberg antiferromagnet on the maple-leaf lattice |
| topic | Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2511.21806 |