Three-dimensional unfrustrated and frustrated quantum Heisenberg magnets. Specific heat study
DOI:
https://doi.org/10.5488/cmp.28.43502Keywords:
quantum Heisenberg spin model, geometrically frustrated latticesAbstract
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.
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