What question did this study set out to answer?

To determine the ground-state structures, degeneracy effects, and low-temperature precessional spin dynamics of classical vector spin models on geometrically frustrated lattices.

November 1, 1998Physical review. B, Condensed matterOpen Access

Low-temperature properties of classical geometrically frustrated antiferromagnets

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Authors

RMRoderich MoessnerMax Planck Institute for the Physics of Complex Systems JCJ. T. ChalkerUniversity of Oxford

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Implication

Theoretical modeling uncovers ground-state degeneracy and barrierless dynamics in frustrated pyrochlore antiferromagnets, suggesting absence of low-temperature freezing transitions.

Key Points

To determine the ground-state structures, degeneracy effects, and low-temperature precessional spin dynamics of classical vector spin models on geometrically frustrated lattices.
Analyzed classical vector spin models with nearest-neighbor antiferromagnetic interactions on geometrically frustrated kagome and pyrochlore lattices.
Constructed explicit ground states and simulated precessional spin dynamics for Heisenberg pyrochlore antiferromagnets under low-temperature thermal fluctuations.
Thermal fluctuations select a subset of ground states only in models with the smallest ground-state degeneracies, leaving pyrochlore ground states barrierless and unconstrained.
Heisenberg pyrochlore antiferromagnets exhibit no freezing transition or preferred state selection, yielding a low-temperature relaxation time on the order of ħ/(k_B*T).
Identified that this barrierless dynamic behavior generalizes to related geometrically frustrated systems, including SrCr8Ga4O19.

Cite This Study

Moessner et al. (1998) studied this question.

synapsesocial.com/papers/6a83487be94b09d6aaca9bef https://doi.org/10.1103/physrevb.58.12049

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Implication

Theoretical modeling uncovers ground-state degeneracy and barrierless dynamics in frustrated pyrochlore antiferromagnets, suggesting absence of low-temperature freezing transitions.

Low-temperature properties of classical geometrically frustrated antiferromagnets

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Implication

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Cite This Study

Low-temperature properties of classical geometrically frustrated antiferromagnets

Discussion

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Implication

Key Points

Cite This Study

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