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

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Main Authors: Parymuda, Maksym, Krokhmalskii, Taras, Derzhko, Oleg
Format: Preprint
Published: 2025
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author Parymuda, Maksym
Krokhmalskii, Taras
Derzhko, Oleg
author_facet Parymuda, Maksym
Krokhmalskii, Taras
Derzhko, Oleg
contents 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 $25\%$.
format Preprint
id arxiv_https___arxiv_org_abs_2507_20662
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Thermodynamics of the hyperkagome-lattice $S=1/2$ Heisenberg ferromagnet
Parymuda, Maksym
Krokhmalskii, Taras
Derzhko, Oleg
Strongly Correlated Electrons
Statistical Mechanics
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 $25\%$.
title Thermodynamics of the hyperkagome-lattice $S=1/2$ Heisenberg ferromagnet
topic Strongly Correlated Electrons
Statistical Mechanics
url https://arxiv.org/abs/2507.20662