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Fritsch, V.; Hemberger, J.; Büttgen, N.; Scheidt, E.‐W.; Nidda, H.-A. Krug von; Loidl, A.; Tsurkan, V.

doi:10.1103/physrevlett.92.116401

Cited by 211 publications

(202 citation statements)

References 27 publications

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“…18, where the large Θ CW was attributed to a high multiplicity of the exchange interaction paths between the tetrahedral ions, which include at least three intermediate ions. 17,24,25 The magnetic structure of Co-Al-O spinels is also far from being clarified. Earlier neutron-diffraction studies 24 26 However, the recent theoretical analysis of the spin order in A-site magnetic spinels 22 does not support such a simple spin arrangement.…”

Section: -11mentioning

confidence: 99%

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Spin frustration and magnetic exchange in cobalt aluminum oxide spinels

et al. 2008

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Section: -11mentioning

confidence: 99%

“…17,18 Their magnetic susceptibilities exhibit an extended range of the Curie-Weiss (CW) behavior down to very low temperatures and high values of the frustration parameter f, defined as the ratio of the absolute value of the CW temperature Θ CW to transition temperature T N , i.e. f = |Θ CW |/T N .…”

Section: -11mentioning

confidence: 99%

Spin frustration and magnetic exchange in cobalt aluminum oxide spinels

et al. 2008

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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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“…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][18][19][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 .…”

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confidence: 99%

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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“…39 reported an antiferromagnetic (AFM) transition for K 0.16 MnO 2 at T N =18 K, also an AFM ground state was reported for K <0. 7 MnO 2 synthesized with a hydrothermal technique. 20 However, the exact nature of this AFM phase is still unknown.…”

Section: Introductionmentioning

confidence: 99%

Incommensurate helical spin ground states on the hollandite lattice

et al. 2014

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We present a model of classical Heisenberg spins on a Hollandite lattice, which has been developed to describe the magnetic properties of α-MnO2 and similar compounds. The model has nearest neighbor interacting spins, however the strength and the sign of spin-spin interactions is anisotropic and depends on the nature of the bonds. Our analysis shows that the Hollandite lattice supports four different incommensurate and helical magnetic ground states depending on the relative strengths and signs of spin-spin interactions. We show that the incommensurate helical ground states appear due to the geometrical frustration present in the model. We demonstrate that each of the four helical incommensurate magnetic phases are continuously connected to four different collinear antiferromagnetic ground states as the strength of spin-spin interaction along some bonds is increased. The present results give support to the presence of helical states that have been previously suggested experimentally for Hollandite compounds. We provide an in-depth analysis of the magnetic form factors for each helical phase and describe how it could be used to identify each of these phases in neutron diffraction experiments.

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Spin and Orbital Frustration inMnSc2S4andFeSc2S4

Cited by 211 publications

References 27 publications

Spin frustration and magnetic exchange in cobalt aluminum oxide spinels

Spin frustration and magnetic exchange in cobalt aluminum oxide spinels

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

Incommensurate helical spin ground states on the hollandite lattice

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