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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Date: | 2018 |
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Main Authors: | , , , , |
Format: | Article |
Language: | English |
Published: |
Інститут фізики конденсованих систем НАН України
2018
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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 UkraineSummary: | 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. |
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