Three-dimensional unfrustrated and frustrated quantum Heisenberg magnets. Specific heat study

Abstract

We examine the $S=1/2$ Heisenberg magnet on four three-dimensional lattices - simple-cubic, diamond, pyrochlore, and hyperkagome ones - for ferromagnetic and antiferromagnetic signs of the exchange interaction in order to illustrate the effect of lattice geometry on the finite-temperature thermodynamic properties with a focus on the specific heat $c(T)$. To this end, we use quantum Monte Carlo simulations or high-temperature expansion series complemented with the entropy method. We also discuss a recent proposal about hidden energy scale in geometrically frustrated magnets.

14 pages, 8 figures, submitted to Condensed Matter Physics (https://cmpj2.icmp.lviv.ua/index.php/cmpj/index)

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