Strong coupling between the spin polarization of Mn and Tb in multiferroic<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi mathvariant="normal">Tb</mml:mi><mml:mi mathvariant="normal">Mn</mml:mi><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn>3</mml:mn></mml:msub></mml:mrow></mml:math>determined by x-ray resonance exchange scattering

Voigt, Jörg; Perßon, J.; Kim, Jong Woo; Bihlmayer, Gustav; Brückel, Thomas

doi:10.1103/physrevb.76.104431

Cited by 31 publications

(42 citation statements)

References 21 publications

(25 reference statements)

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“…Recently, we realized that other XRS data has been recently reported with similar results on the induced polarization of the Tb ions at Mn magnetic wave-vectors. 39 …”

Section: Discussionmentioning

confidence: 99%

X-ray scattering study of the order parameters in multiferroicTbMnO3

et al. 2007

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We report on an extensive investigation of the multiferroic compound TbMnO 3 using x-ray scattering techniques. Nonresonant x-ray magnetic scattering ͑NRXMS͒ was used to characterize the domain population of the single crystal used in our experiments. This revealed that the dominant domain is overwhelmingly A type. The temperature dependence of the intensity and wave vector associated with the incommensurate magnetic order was found to be in good agreement with neutron scattering data. X-ray resonant scattering experiments were performed in the vicinity of the Mn K and Tb L 3 edges in the high-temperature collinear phase, the intermediate temperature cycloidal and ferroelectric phase, and the low-temperature phase. In the collinear phase, where according to neutron diffraction only the Mn sublattice is ordered, resonant E1-E1 satellites were found at the Mn K edge associated with A-type but also F-type peaks. Detailed measurements of the azimuthal dependence of the F-type satellites ͑and their absence in the NRXMS experiments͒ leads us to conclude that they are most likely nonmagnetic in origin. We suggest instead that they may be associated with an induced charge multipole. At the Tb L 3 edge, resonant A-and F-type satellites were observed in the collinear phase again associated with E1-E1 events. We attribute these to a polarization of the Tb 5d states by the ordering of the Mn sublattice. On cooling into the cycloidal and ferroelectric phase, a new set of resonant satellites appear corresponding to C-type order. These appear at the Tb L 3 edge only. In addition to a dominant E1-E1 component in the -Ј channel, a weaker component is found in the preedge with -Ј polarization and displaced by −7 eV with respect to the E1-E1 component. Comprehensive calculations of the x-ray scattering cross section were performed using the FDMNES code. These calculations show that the unrotated -Ј component of the Tb L 3 C-type peaks appearing in the ferroelectric phase contains a contribution from a multipole that is odd with respect to both space and time, known in various contexts as the anapole. Our experiments thus provide tentative evidence for the existence of a type of anapolar order parameter in the rare-earth manganite class of mulitferroic compounds.

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“…Recently, we realized that other XRS data has been recently reported with similar results on the induced polarization of the Tb ions at Mn magnetic wave-vectors. 39 …”

Section: Discussionmentioning

confidence: 99%

X-ray scattering study of the order parameters in multiferroicTbMnO3

et al. 2007

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“…However the scattering amplitude in the form presented here has been successfully employed, in particular, to the closely related compound TbMnO 3 . 17 There are three terms that contribute to the E1-E1 resonant scattering amplitude and five terms that contribute to the E2-E2. In this experiment, we measured first harmonic magnetic satellite reflections and are therefore only concerned with the first-order terms.…”

Section: Appendix: Full Polarization Analysismentioning

confidence: 99%

Determination of magnetic order of the rare-earth ions in multiferroicTbMn2O5

et al. 2008

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Use policyThe full-text may be used and/or reproduced, and given to third parties in any format or medium, without prior permission or charge, for personal research or study, educational, or not-for-prot purposes provided that:• a full bibliographic reference is made to the original source • a link is made to the metadata record in DRO • the full-text is not changed in any way The full-text must not be sold in any format or medium without the formal permission of the copyright holders.Please consult the full DRO policy for further details. We have employed resonant x-ray magnetic scattering to specifically probe the magnetic order of the rare-earth ions in multiferroic TbMn 2 O 5 . Two energy resonances were observed, one originated from the E1-E1 dipolar transition and the other from the E2-E2 quadrupolar transition. These resonances directly probe the valence 5d band and the partially occupied 4f band, respectively. First, full polarization analysis, which is a measurement of the scattered polarization as a function of incident polarization, confirmed a spin polarization of the terbium valence states ͑probed by the E1-E1 transition͒ by the Mn 4+ spin density in the commensurate phase. Second, full polarization analysis data were collected in the low-temperature incommensurate and commensurate phases when tuned to the E2-E2 resonance. By employing a least-squares fitting procedure, the spin orientations of the terbium ion sublattice were refined.

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“…The substrate reflections are still identifiable as well as the corresponding /2 reflections (as the substrate is 0.5 mm thick, even a good flipping-ratio of about 30 does not suppress these reflections entirely). The reflections labeled (6) appear exactly at the positions of the magnetic Mn ordering in bulk (0 0.27 1) [7,11]. The temperature dependence of the magnetic reflection (0 ı 1) is illustrated in Fig.…”

Section: Polarized Neutron Diffractionmentioning

confidence: 91%

“…Secondly, the out-of-plane lattice constant of TbMnO 3 and YAlO 3 are 5.81Å [10] and 5.18Å respectively, which allows the separation of the strong substrate signal and the weak film signal in diffraction techniques. Finally the propagation vector of the TbMnO 3 spin-spiral, as it is known from bulk [7,[11][12][13], also lies in out-of-plane direction so that finite size effects can be expected for decreasing thickness in films or superlattices.…”

Section: Introductionmentioning

confidence: 99%