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arXiv · 2507.20662

Thermodynamics of the hyperkagome-lattice $S=1/2$ Heisenberg ferromagnet

Maksym Parymuda·Taras Krokhmalskii·Oleg Derzhko
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Abstract

The hyperkagome-lattice $S=1/2$ Heisenberg ferromagnet is studied by means of the linear spin-wave theory, the double-time temperature Green's function method, high-temperature expansions series analysis, and quantum Monte Carlo simulations to examine the effect of lattice geometry on the finite-temperature properties. In particular, we have found that the Curie temperature $T_c$ for the hyperkagome-lattice (frustrated lattice) ferromagnet is about $0.33\vert J\vert$ that is smaller than $T_c$ for the diamond-lattice (another three-dimensional lattice with the same coordination number 4 but bipartite one) ferromagnet by about $25\%$.

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Maksym Parymuda, Taras Krokhmalskii, Oleg Derzhko. 2025-07-28. Thermodynamics of the hyperkagome-lattice $S=1/2$ Heisenberg ferromagnet. https://doi.org/10.1088/1361-648x%2Fadf67d

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