The spin-1/2 Heisenberg ferromagnet on the pyrochlore lattice: A Green's function study

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 Mont...

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Bibliographic Details
Date:2018
Main Authors: Hutak, T., Müller, P, Richter, J., Krokhmalskii, T., Derzhko, O.
Format: Article
Language:English
Published: Інститут фізики конденсованих систем НАН України 2018
Series:Condensed Matter Physics
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/157458
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:The spin-1/2 Heisenberg ferromagnet on the pyrochlore lattice: A Green's function study / T. Hutak, P. Müller, J. Richter, T. Krokhmalskii, O. Derzhko // Condensed Matter Physics. — 2018. — Т. 21, № 3. — С. 33705: 1–13. — Бібліогр.: 47 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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Summary: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.