Beschreibung
This comprehensive study delves into the complex magnetic properties and interactions of the perovskite-like compound CaCu$_3$Ti$_4$O$_{12}$, employing advanced neutron diffraction and spectroscopy to explore the underlying spin-orbital coupling and single-ion anisotropy. By synthesizing high-quality single crystals and utilizing a four-circle neutron diffractometer, we capture sufficient magnetic reflections to accurately determine the magnetic structure. In-depth investigations using a neutron three-axis spectrometer reveal the exchange interactions and anisotropic energies, elucidating the spin wave spectrum and highlighting the significant role of indirect exchange interactions mediated through Ti$^{4+}$. This research provides crucial insights into the exchange model and magnetic interactions within CaCu$_3$Ti$_4$O$_{12}$, contributing to a deeper understanding of its unique properties and refining the theoretical frameworks applicable to similar complex oxides.