Thermodynamics of the Heisenberg antiferromagnet on the maple-leaf lattice

2025/11/26 by Schäfer, Robin, Ebert, Paul L., Hassan, Noah +3 · 1 citation
#FOS: Physical sciences #Strongly Correlated Electrons (cond-mat.str-el)

paper · doi:10.48550/arxiv.2511.21806

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 T₁ ≈ 0.479 J and T₂ ≈ 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.

Citations

• Tensor-network study of the ground state of maple-leaf Heisenberg antiferromagnet
• Unconventional orders in the maple-leaf ferro-antiferromagnetic Heisenberg model
• Thermodynamics of the S=1/2 maple-leaf Heisenberg antiferromagnet
• Spin Nernst and thermal Hall effects of topological triplons in quantum dimer magnets on the maple-leaf and star lattices
• XDiag: Exact Diagonalization for Quantum Many-Body Systems
• Two-Peak Heat Capacity Accounts for Rln(2) Entropy and Ground State Access in the Dipole-Octupole Pyrochlore Ce₂Hf₂O₇
• Structure and Magnetic Properties of a Maple Leaf antiferromagnet Ho₃ScO₆
• An extended non-magnetic phase in the spin-1/2 Heisenberg antiferromagnet from the ruby to the maple-leaf lattice
• Origin of the hidden energy scale and the f-ratio in geometrically frustrated magnets
• Tensor network analysis of the maple-leaf antiferromagnet spangolite
• Where is the spin liquid in maple-leaf quantum magnet?
• Anyons in an exactly solved model and beyond
• Nonlinear sequence transformations for the acceleration of convergence and the summation of divergent series

Cited by

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

Related

• Thermodynamics of the S=1/2 maple-leaf Heisenberg antiferromagnet
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• Tensor-network study of the ground state of maple-leaf Heisenberg antiferromagnet
• Thermodynamics of the spin-1/2 Heisenberg antiferromagnet on the star lattice
• Numerical linked-cluster algorithms. I. Spin systems on square, triangular, and kagomé lattices