The integrated network Mott Physics Beyond the Heisenberg Model (MPBH) united researchers across Switzerland in a collective effort to explore new aspects of Mott physics, in particular how spin-orbit interactions, in concert with strong electron correlations, lead to new and exotic quantum materials and phenomena. The far-reaching achievements of the network were made possible only by assembling researchers with expertise in many complementary disciplines, who were hosted by the Swiss Federal Institute of Technology Lausanne (EPFL), the Paul Scherrer Institute (PSI), the University of Geneva (UNIGE), the Swiss Federal Institute of Technology Zurich (ETHZ) and the University of Zurich (UniZH). The holistic approach of MPBH enabled us to synthesise and study promising materials by multiple techniques, thereby enabling profound advances in understanding their nature and quantum behaviour.