@phdthesis{Elsaesser2019,
  author    = {Els{\"a}sser, Sebastian},
  title     = {Lattice dynamics and spin-phonon coupling in the multiferroic oxides Eu(1-x)Ho(x)MnO3 and ACrO2},
  doi       = {10.25972/OPUS-17971},
  url       = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-179719},
  school      = {Universit{\"a}t W{\"u}rzburg},
  year      = {2019},
  abstract  = {The focus of this thesis is the investigation of the lattice dynamics and the coupling of magnetism and phonons in two different multiferroic model systems. The first system, which constitutes the main part in this work is the system of multiferroic manganites RMnO\$_{3}\$, in particular Eu\$_{1-x}\$Ho\$_{x}\$MnO\$_{3}\$ with \$0 \le x \le 0.5\$. Its cycloidal spin arrangement leads to the emergence of the ferroelectric polarization via the inverse Dzyaloshinskii-Moriya interaction. This system is special among RMnO\$_{3}\$ as with increasing Ho content \$x\$, Eu\$_{1-x}\$Ho\$_{x}\$MnO\$_{3}\$ does not only become multiferroic, but due to the exchange interaction with the magnetic Ho-ion, the spin cycloid (and with it the electric polarization) is also flipped for higher Ho contents. This makes it one of the first compounds, where the cycloidal reorientation happens spontaneously, rather than with the application of external fields. On the other hand, there is the delafossite ACrO\$_{2}\$ system. Here, due to symmetry reasons, the spin-spiral pattern can not induce the polarization according to the inverse Dzyaloshinskii-Moriya interaction mechanism. Instead, it is thought that another way of magnetoelectric coupling is involved, which affects the charge distribution in the \$d-p\$ hybridized orbitals of the bonds. The lattice vibrations as well as the quasi-particle of the multiferroic phase, the electromagnon, are studied by Raman spectroscopy. Lattice vibrations like the B\$_{3g}\$(1) mode, which involves vibrations of the Mn-O-Mn bonds modulate the exchange interaction and serve as a powerful tool for the investigation of magnetic correlations effects with high frequency accuracy. Raman spectroscopy acts as a local probe as even local magnetic correlations directly affect the phonon vibration frequency, revealing coupling effects onto the lattice dynamics even in the absence of global magnetic order. By varying the temperature, the coupling is investigated and unveils a renormalization of the phonon frequency as the magnetic order develops. For Eu\$_{1-x}\$Ho\$_{x}\$MnO\$_{3}\$, the analysis of this spin-induced phonon frequency renormalization enables the quantitative determination of the in-plane spin-phonon coupling strengths. This formalism, introduced by Granado et al., is extended here to evaluate the out-of-plane coupling strengths, which is enabled by the identification of a previously elusive feature as a vibrational mode. The complete picture is obtained by studying the lattice- and electromagnon dynamics in the magnetic field. Further emphasis is put towards the development of the cycloidal spin structure and correlations with temperature. A new model of describing the temperature-dependent behavior of said spin correlations is proposed and can consistently explain ordering phenomena which were until now unaddressed. The results are underscored with Monte Carlo based simulations of the spin dynamics with varying temperature. Furthermore, a novel effect of a tentative violation of the Raman selection rules in Eu\$_{1-x}\$Ho\$_{x}\$MnO\$_{3}\$ was discovered. While the phonon modes can be separated and identified by their symmetry by choosing appropriate polarization configurations, in a very narrow temperature range, Eu\$_{1-x}\$Ho\$_{x}\$MnO\$_{3}\$ shows an increase of phonon intensities in polarization configurations where they should be forbidden. This is interpreted as a sign of local disorder, caused by 90° domain walls and could be explained within the model framework. This course of action is followed with the material system of delafossites ACrO\$_{2}\$. Being a relatively new class of multiferroic materials, the investigations on ACrO\$_{2}\$ are also of characterizing nature. For this, shell model calculations are performed as a reference to compare the vibrational frequencies obtained by the Raman experiments to. A renormalization of the vibrational frequencies is observed in this system as well and systematically analyzed across the sample series of \textit{A}=Cu, Pd and Ag. Eventually, the effect of applying an external magnetic field is studied. A particularly interesting feature specific for CuCrO\$_{2}\$ is a satellite peak which appears at lower temperatures. It is presumably related to a deformation of the lattice and therefore going to be discussed in further detail.},
  subject      = {Festk{\"o}rperphysik},
  language  = {en}
}