Two-magnon inelastic light scattering in the antiferromagnets<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mi>CoF</mml:mi><mml:mn>2</mml:mn></mml:msub></mml:mrow></mml:math>and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mi>NiF</mml:mi><mml:mn>2</mml:mn></mml:msub></mml:mrow></mml:math>: Experiment and theory

Meloche, E.; Cottam, M. G.; Lockwood, D. J.

doi:10.1103/physrevb.76.104406

Cited by 11 publications

(27 citation statements)

References 16 publications

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“…The simplest model is to take S = 1/2, which is satisfactory for applications to two-magnon Raman scattering, since this is strongly weighted by large wavevectors near the Brillouin zone boundary. However, it leads to discrepancies with Raman experiments for one-magnon scattering, which is weighted by the zone-center wavevectors, and a S = 3/2 model is required instead [10]. In NiF 2 (S = 1) we have D > |F| > 0, which results in the equilibrium spin orientations being in the ab plane with a small canting from antiparallel alignment, as shown in Fig.…”

Section: Spin Hamiltonians and Magnon Frequenciesmentioning

confidence: 99%

“…It is still the case for these materials that the linear and quadratic magnetooptical coupling effects may apply, but their effects are different due to the different behavior already mentioned for the k = 0 onemagnon excitations [10,11].…”

Section: Magnetooptical Coupling and Raman Intensitiesmentioning

confidence: 99%

“…Equations (3)- (5) are not applicable to CoF 2 and NiF 2 , except in the context of two-magnon scattering where the effects of the single-ion anisotropy at large |k| become small compared with the exchange terms (and then with z S 〈 〉 replaced by a thermal average in the ab plane in the case of NiF 2 ) [9]. By contrast, at k = 0 as in one-magnon scattering, it is important to employ Eq.…”

Section: Spin Hamiltonians and Magnon Frequenciesmentioning

confidence: 99%

“…(6), specifically from the combinations that involve products like S S + − and z z S S for spins at neighboring sites. It may be written as [2,9,14] (14) where r is summed over all spin sites, vector δ now connects sites with their next-nearest neighbors (on the opposite sublattice), and γ is a weighting factor. The symmetry term ( ), φ δ which contains the electric-field polarizations, is 1 and so different critical points in the Brillouin zone are emphasized (specifically, the Γ, M, and R points, respectively).…”

Section: Two-magnon Scatteringmentioning

confidence: 99%

“…On the other hand, the one-magnon light scattering in CoF 2 has other distinctive properties due to effects arising from a strong orbital angular momentum and a large single-ion anisotropy. Although the two-magnon scattering can be analyzed within a simple effective spin S = 1/2 model [9], the one-magnon scattering case is much more complicated and has only recently been fully examined theoretically [10]. By contrast, NiF 2 presents a case of special interest [11] because of the role of the single-ion anisotropy in NiF 2 , which causes the sublattice magnetization to lie perpendicular (rather than parallel, as in the above-mentioned cases) to the crystal c axis and to be canted slightly in the ab plane away from the antiparallel alignment.…”

Section: Introductionmentioning

confidence: 99%

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Magnetooptic coupling coefficients for one- and two-magnon Raman scattering in rutile-structure antiferromagnets FeF2, MnF2, CoF2, and NiF2

Lockwood

Cottam

2012

Low Temperature Physics

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Inelastic light scattering intensities of magnetic excitations are governed by the magnetooptic coupling coefficients, which have been evaluated, for example, for the ferrimagnet Y 3 Fe 5 O 12 (YIG) and the metamagnets FeCl 2 and FeBr 2 . However, by far the most detailed studies to date have been performed on the classic rutilestructure antiferromagnets, and we summarize here the results obtained from the many experimental and theoretical investigations in these compounds for both one-magnon and two-magnon excitations. A comparison of the magnitudes of the various coupling coefficients for MnF 2 , FeF 2 , CoF 2 , and NiF 2 reveals a surprising similarity in many coefficients. In one-magnon Raman scattering, the in-phase linear magnetooptic coefficient dominates and the main differences between MnF 2 , FeF 2 , and NiF 2 lie in the relative significance of the in-phase quadratic magnetooptic coefficient. Thus the quadratic coefficients are now seen to be of particular importance in determining the strength of the one-magnon scattering in a variety of magnetic insulators. In two-magnon Raman scattering, one magnetooptic coefficient dominates for all of these antiferromagnets. However, each of the other six coefficients are remarkably similar in magnitude, in general, and not negligible in most cases, indicating some universality in the way light interacts with the pairs of magnons of opposite and equal wave vector in rutile structure antiferromagnets.

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Section: Spin Hamiltonians and Magnon Frequenciesmentioning

confidence: 99%

Section: Magnetooptical Coupling and Raman Intensitiesmentioning

confidence: 99%

Section: Spin Hamiltonians and Magnon Frequenciesmentioning

confidence: 99%

Section: Two-magnon Scatteringmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Magnetooptic coupling coefficients for one- and two-magnon Raman scattering in rutile-structure antiferromagnets FeF2, MnF2, CoF2, and NiF2

Lockwood

Cottam

2012

Low Temperature Physics

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Effect of calcination temperature and fluorination treatment on NiF2-AlF3 catalysts for dehydrofluorination of 1, 1, 1, 2-tetrafluoroethane to synthesize trifluoroethylene

Jia

Chen

Liu

et al. 2019

Applied Catalysis A: General

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One-magnon and exciton inelastic light scattering in the antiferromagnet CoF2

Meloche

Cottam

Lockwood

2014

Low Temperature Physics

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Experimental data are reported for the temperature and polarization dependence of the one-magnon Raman light scattering in the rutile-structure antiferromagnet CoF 2 (Néel temperature T N = 38 K). The low-lying excitons are also investigated at low temperatures and comparisons made with results from earlier Raman, infrared, and neutron scattering work. A detailed analysis of the one-magnon Stokes and anti-Stokes Raman spectra is presented resulting in comprehensive data for the temperature variation up to T N of the one-magnon frequency, line width, and integrated intensity. A theory of the one-magnon scattering and other magnetic transitions is constructed based mainly on a spin S = 3/2 exchange model, extending a simpler effective S = 1/2 approach. The excitation energies and spectral intensities over a broad range of temperatures are obtained using a Green's function equation of motion method that allows for a careful treatment of the single-ion anisotropy. Overall the S = 3/2 theory compares well with the experimental data.

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Two-magnon inelastic light scattering in the antiferromagnetsCoF2andNiF2: Experiment and theory

Cited by 11 publications

References 16 publications

Magnetooptic coupling coefficients for one- and two-magnon Raman scattering in rutile-structure antiferromagnets FeF2, MnF2, CoF2, and NiF2

Magnetooptic coupling coefficients for one- and two-magnon Raman scattering in rutile-structure antiferromagnets FeF2, MnF2, CoF2, and NiF2

Effect of calcination temperature and fluorination treatment on NiF2-AlF3 catalysts for dehydrofluorination of 1, 1, 1, 2-tetrafluoroethane to synthesize trifluoroethylene

One-magnon and exciton inelastic light scattering in the antiferromagnet CoF2

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