Magnetic ordering and spin excitations in the frustrated magnet<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi mathvariant="normal">Mn</mml:mi><mml:msub><mml:mi mathvariant="normal">Sc</mml:mi><mml:mn>2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">S</mml:mi><mml:mn>4</mml:mn></mml:msub></mml:mrow></mml:math>

Krimmel, A.; Mücksch, M.; Tsurkan, V.; Koza, Michael Marek; Mutka, H.; Ritter, C.; Sheptyakov, Denis; Horn, S.; Loidl, A.

doi:10.1103/physrevb.73.014413

Cited by 57 publications

(69 citation statements)

References 20 publications

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“…These compounds reveal broad spin-liquid (MnSc 2 S 4 ) and spin-orbital liquid (FeSc 2 S 4 ) regimes for the temperature range T N < T < |Θ CW | characterized by strongly enhanced dynamic spin and orbital correlations as evidenced by neutron scattering experiments. 19,20 In aluminum oxide spinels with the A-sites occupied by Fe and Co ions no long-range order was detected down to 2 K despite the presence of strong AFM exchange interactions as indicated by their large negative CW temperature Θ CW ~ -100 K. At low temperatures these spinels undergo short-range order. For example, the direction.…”

Section: -11mentioning

confidence: 99%

Spin frustration and magnetic exchange in cobalt aluminum oxide spinels

et al. 2008

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Spin frustration and magnetic exchange in cobalt aluminum oxide spinels

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“…Refined neutron scattering data in Ref. [6] indicated spiral order of the type discussed here with wavevector q = (q, q, 0) and spins aligned within the (001) plane. We see that the Landau theory indeed captures this order, provided the phenomenological parameters c 1 , c 2 are taken to lie within region I of the phase diagram in Fig.…”

Section: B Magnetic Anisotropymentioning

confidence: 99%

“…1 For the specific material MnSc 2 S 4 , the magnetic structure is known from neutron diffraction. 6 At low temperature the ordering wavevector is k = q ≡ 3π/2(1, 1, 0), and the refinement indicates ferromagnetic J 1 < 0. Comparison to the theoretical structure and the measured Curie-Weiss temperature allows one to constraint the couplings 1 .…”

Section: A Heisenberg Model and Its Ground Statesmentioning

confidence: 99%

Theory of the ordered phase inA-site antiferromagnetic spinels

Lee

2008

Phys. Rev. B

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Insulating spinel materials, with the chemical formula AB2X4, behave as diamond lattice antiferromagnets when only the A-site atom is magnetic. Many exhibit classic signatures of frustration, induced not geometrically but by competing first and second neighbor exchange interactions. In this paper, we further develop a theory 1 of the magnetism of these materials, focusing on the physics observable within the ordered state. We derive a phenomenological Landau theory that predicts the orientation of the spins within incommensurate spiral ordered states. It also describes how the spins reorient in a magnetic field, and how they may undergo a low temperature "lock-in" transition to a commensurate state. We discuss microscopic mechanisms for these magnetic anisotropy effects. The reduction of the ordered moment by quantum fluctuations is shown to be enhanced due to frustration. Our results are compared to experiments on MnSc2S4 , the best characterized of such A-site spinels, and more general implications are discussed. One prediction is that magnetically-induced ferroelectricity is generic in these materials, and a detailed description of the relation of the electric polarization to the magnetism is given.

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“…Previous studies revealed a transition into a commensurate long-range ordered state with q = (0.75 0.75 0) at T ∼ 2.3 K 21,23 . Fig.…”

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Spiral spin-liquid and the emergence of a vortex-like state in MnSc2S4

et al. 2016

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Spirals and helices are common motifs of long-range order in magnetic solids, and they may also be organized into more complex emergent structures such as magnetic skyrmions and vortices. A new type of spiral state, the spiral spin-liquid, in which spins fluctuate collectively as spirals, has recently been predicted to exist. Here, using neutron scattering techniques, we experimentally prove the existence of a spiral spin-liquid in MnSc2S4 by directly observing the 'spiral surface' -a continuous surface of spiral propagation vectors in reciprocal space. We elucidate the multi-step ordering behavior of the spiral spin-liquid, and discover a vortex-like triple-q phase on application of a magnetic field. Our results prove the effectiveness of the J1-J2 Hamiltonian on the diamond lattice as a model for the spiral spin-liquid state in MnSc2S4, and also demonstrate a new way to realize a magnetic vortex lattice.Magnetic frustration, where magnetic moments (spins) are coupled through competing interactions that cannot be simultaneously satisfied 1 , usually leads to highly cooperative spin fluctuations 2,3 and unconventional longrange magnetic order 4,5 . An archetypal ordering in the presence of frustration is the spin spiral. Competing interactions and spiral orders give rise to many phenomena in magnetism, including the multitudinous magnetic phases of rare earth metals 6 , domains with multiferroic properties 7,8 , and topologically non-trivial structures such as the emergent skyrmion lattice 9,10 .Recently, a new spiral state -a spiral spin-liquid in which the ground states are a massively degenerate set of coplanar spin spirals -was predicted to exist in the J 1 -J 2 model on the diamond lattice (see Fig. 1a) [11][12][13] . Although the diamond lattice is bipartite, and therefore unfrustrated at the near-neighbour (J 1 ) level, the second-neighbour coupling (J 2 ) can generate strong competition. For classical spins, mean-field calculations show that when |J 2 /J 1 | > 0.125 the spiral spin-liquid appears, and that it is signified by an unusual continuous surface of propagation vectors q in reciprocal space (see Fig. 1b for the spiral surface of |J 2 /J 1 | = 0.85). At finite temperature, thermal fluctuations might select some specific q-vectors on the spiral surface 11 , resulting in an orderby-disorder transition 14,15 .Until now, several series of A-site spinels, in which the magnetic A ions form a diamond lattice, have been investigated, including: the cobaltates Co 3 O 4 and CoRh 2 O 4 16 ; the aluminates M Al 2 O 4 with M = Fe, Co, Mn 17-20 ; and the scandium thiospinels M Sc 2 S 4 with M = Fe, Mn 21 . For the spinels with Fe 2+ at the A-site, the e g orbital angular momentum of Fe 2+ is active, making the pure spin J 1 -J 2 model inadequate 22 . Among the other compounds, CoAl 2 O 4 and MnSc 2 S 4 manifest the strongest frustration. For CoAl 2 O 4 , the ratio of |J 2 /J 1 | has been identified as 0.109 19 , which is near, but still lower than, the 0.125 threshold for the spiral spin-liquid state. Many expe...

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Magnetic ordering and spin excitations in the frustrated magnetMnSc2S4

Cited by 57 publications

References 20 publications

Spin frustration and magnetic exchange in cobalt aluminum oxide spinels

Spin frustration and magnetic exchange in cobalt aluminum oxide spinels

Theory of the ordered phase inA-site antiferromagnetic spinels

Spiral spin-liquid and the emergence of a vortex-like state in MnSc2S4

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