The field of frustrated quantum magnets is poised with the arrival of new candidate quantum materials promising to host the novel quantum spin liquid and other exotic phases of matter. After the organization of the International Conference on Highly Frustrated Magnetism held in Paris in summer of 2022, it was realized by the community and expressed especially by the PhD students, that there is a need for pedagogically introducing state-of-the-art experimental probes and theoretical approaches employed to investigate frustrated quantum magnets. Given the rapid development currently taking place in this field, we think that it is desirable and timely to organize a Doctoral Training school to address this request as we are not aware of many schools internationally geared towards pedagogical teaching to bring students towards state-of-the- art in frustrated magnets.

Although the field of quantum spin liquids has established itself over the course of the past five decades, it keeps bringing up revolutions in understanding, scope, and challenges to address from theory and experiment. Going beyond quantum spin liquids which by their very definition are rather featureless in terms of their magnetic signature, modern sources of magnetic frustration also allow to design unprecedented forms of magnetic ordering at low temperatures. This does not only include magnetic vector order of unconventional type, such as incommensurate spiral or non-coplanar order, but also higher tensorial and nematic order, sometimes referred to as hidden order in the context of heavy fermion compounds. This field has witnessed a particular scope broadening due to increased accessibility of frustrated magnetic platforms in three spatial dimensions, such as pyrochlore, hyperkagome, and hyperhoneycomb materials.

The rapid strides in our understanding of the microscopic origin of these novel states in quantum materials and model Hamiltonians has been made possible due to the synergy between theory and experiment over the last decade. The recent developments in theoretical and numerical quantum many-body approaches have allowed for an assessment of experimentally measured quantities such as the dynamical spin structure factor and low-temperature thermodynamics, thereby bridging the gap between theory and experiment. It would thus prove valuable to have the opportunity to present a coherent and comprehensive lecture series involving experimentalists, theoreticians and numerical experts.

The school aims at introducing the general concepts in frustrated magnetism. On the methodological side, lectures will address experimental and computational tools which are not part of the standard teaching curriculum at universities, and thereby bridge the gap and smoothen the transition to research.