This line of research consists of investigating interacting systems (strongly correlated), both from a theoretical and experimental point of view. Using modern numerical techniques such as NRG and DMRG, as well as analytical methods, the effects of electronic interaction on the physical properties of various quantum systems presenting ordered (magnetism) or emergent (spin liquids) states are investigated also studying how such properties can be modified when considering spin-orbit interaction, additional degrees of freedom, etc. From the experimental point of view, several techniques (low-temperature X-ray, neutron scattering, etc.) are used to characterize properties (magnetization, electrical resistivity, etc.) of various materials synthesized by modern techniques that, in general, present technological interest.