Analysis reveals Curie temperature differences in hyperkagome-lattice and diamond-lattice geometries.
The hyperkagome-lattice S = 1/2 Heisenberg ferromagnet is studied by means of the linear spin-wave theory, 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 found that the Curie temperature T_c for the hyperkagome-lattice (frustrated lattice) ferromagnet is about 0.33|J| 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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Parymuda et al. (2025) studied this question.
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