The spin-$\frac{1}{2}$ Heisenberg ferromagnet on the pyrochlore lattice: A Green's function study

Abstract

We consider the pyrochlore-lattice quantum Heisenberg ferromagnet and discuss the properties of this spin model at arbitrary temperatures. To this end, we use the Green's function technique within the random-phase (or Tyablikov) approximation as well as the linear spin-wave theory and quantum Monte Carlo simulations. We compare our results to the ones obtained recently by other methods to corroborate our findings. Finally, we contrast our results with the ones for the simple-cubic-lattice case: both lattices are identical at the mean-field level. We demonstrate that thermal fluctuations are more efficient in the pyrochlore case (finite-temperature frustration effects). Our results may be of use for interpreting experimental data for ferromagnetic pyrochlore materials.

arXiv comment13 pages, 3 figures, 1 table

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Cited by in corpus (4)

• Quantum and Classical Phases of the Pyrochlore Heisenberg Model with Competing Interactions
• Spin-half Heisenberg antiferromagnet on a symmetric sawtooth chain: Rotation-invariant Green's functions and high-temperature series
• Quantum Heisenberg model on a sawtooth-chain lattice: Rotation-invariant Green's function method
• Thermodynamics of the hyperkagome-lattice $S=1/2$ Heisenberg ferromagnet