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

TL;DR

This paper investigates the thermodynamic properties of the $S=1/2$ hyperkagome-lattice ferromagnet using multiple theoretical and computational methods, revealing a lower Curie temperature compared to bipartite lattices due to geometric frustration.

Contribution

It provides a comprehensive analysis of the hyperkagome-lattice ferromagnet's finite-temperature behavior using diverse methods, highlighting the impact of lattice geometry on magnetic transition temperatures.

Findings

Curie temperature for hyperkagome-lattice ferromagnet is about 0.33|J|

Curie temperature is approximately 25% lower than that of the diamond lattice

Lattice geometry significantly influences finite-temperature magnetic properties

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 $25\%$.