Quantum order by disorder in frustrated diamond lattice antiferromagnets

Abstract

We present a quantum theory of frustrated diamond lattice antiferromagnets. Considering quantum fluctuations as the predominant mechanism relieving spin frustration, we find a rich phase diagram comprising of six phases with coplanar spiral ordering in addition to the Néel phase. By computing the specific heat of these ordered phases, we obtain a remarkable agreement between $(k,k,0)$-spiral ordering and the experimental specific heat data for the diamond lattice spinel compounds MnSc${}_2$S${}_4$, Co${}_3$O${}_4$ and CoRh${}_2$O${}_4$, i.e. specific heat data is a strong evidence for $(k,k,0)$-spiral ordering in all of these materials. This prediction can be tested in future neutron scattering experiments on Co${}_3$O${}_4$ and CoRh${}_2$O${}_4$, and is consistent with existing neutron scattering data on MnSc${}_2$S${}_4$. Based on this agreement we infer a monotonically increasing relationship between frustration and the strength of quantum fluctuations.

4 pages, 2 figures, version published in PRL

References in corpus (5)

• Order by disorder and spiral spin liquid in frustrated diamond lattice antiferromagnets
• Order by distortion and string modes in pyrochlore antiferromagnet
• Spin Driven Jahn-Teller Distortion in a Pyrochlore system
• Order induced by dipolar interactions in a geometrically frustrated antiferromagnet
• Magnets with strong geometric frustration

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