Abstract:We report on polarized infrared reflectivity measurements of multiferroic, monoclinic MnWO4 between 10 K and 295 K. All five non-vanishing components of the dielectric tensor have been determined in the frequency range of the phonons. All infrared-active phonon modes (7 Au modes and 8 Bu modes) are unambiguously identified. In particular the strongest Bu modes have been overlooked in previous studies, in which the monoclinic symmetry was neglected in the analysis. The combined analysis of reflectance data meas… Show more
“…We have detected two additional Raman signals below 890 cm À 1 in cross polarized spectra (Fig. 11), but their positions do not match well the reported IR-peak positions of MnWO 4 [35]. The additional Raman peaks near 642 and 784 cm À 1 most probably arise from combination modes of type A g þ B g or A u þB u .…”
“…We have detected two additional Raman signals below 890 cm À 1 in cross polarized spectra (Fig. 11), but their positions do not match well the reported IR-peak positions of MnWO 4 [35]. The additional Raman peaks near 642 and 784 cm À 1 most probably arise from combination modes of type A g þ B g or A u þB u .…”
“…In this context, a 4th spectroscopic response function is described, whose physical meaning, however, remained unexplained. Kuz [40,41]. Spectra were obtained as a function of incident light polarization relative to the crystallographic axes.…”
Section: Introductionmentioning
confidence: 99%
“…These were obtained and reported in Refs. [40,41,43]. However, numerical integrations were required to guarantee Kramers-Kronig consistency for the 4 tensor element spectra, since neither of these elements can be obtained independently and as complex-valued functions from reflectance data analysis.…”
We derive a dielectric function tensor model approach to render the optical response of monoclinic and triclinic symmetry materials with multiple uncoupled infrared and far-infrared active modes. We apply our model approach to monoclinic β-Ga 2 O 3 single-crystal samples. Surfaces cut under different angles from a bulk crystal, (010) and (201), are investigated by generalized spectroscopic ellipsometry within infrared and far-infrared spectral regions. We determine the frequency dependence of 4 independent β-Ga 2 O 3 Cartesian dielectric function tensor elements by matching large sets of experimental data using a point-by-point data inversion approach. From matching our monoclinic model to the obtained 4 dielectric function tensor components, we determine all infrared and far-infrared active transverse optic phonon modes with A u and B u symmetry, and their eigenvectors within the monoclinic lattice. We find excellent agreement between our model results and results of density functional theory calculations. We derive and discuss the frequencies of longitudinal optical phonons in β-Ga 2 O 3 . We derive and report density and anisotropic mobility parameters of the free charge carriers within the tin-doped crystals. We discuss the occurrence of longitudinal phonon plasmon coupled modes in β-Ga 2 O 3 and provide their frequencies and eigenvectors. We also discuss and present monoclinic dielectric constants for static electric fields and frequencies above the reststrahlen range, and we provide a generalization of the Lyddane-Sachs-Teller relation for monoclinic lattices with infrared and far-infrared active modes. We find that the generalized Lyddane-Sachs-Teller relation is fulfilled excellently for β-Ga 2 O 3 .
“…We note that, due to this fact, no new phonons below T C were reported also in other spin-induced ferroelectrics, only small shifts of phonon frequencies were observed due to the spin-phonon coupling. 26,27 Anyway, the factor-group analysis is useful for the discussion of electromagnon activity in both IR and Raman spectra below. Fig.…”
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