Moiré materials describe a class of materials formed by two-dimensional heterostructures that have emerged recently as a highly promising platform for the study of many-body quantum phenomena. To create such a heterostructure, different two-dimensional materials such as graphene are stacked, leading to a so-called moiré pattern, which is a large-scale interference pattern of two periodic structures with slight mismatches. The presence of the moiré pattern introduces an extra potential energy and strongly impacts the electronic properties of the materials. As a result, it is, in principle, possible to design moiré materials with targeted properties. Moreover, moiré materials offer a great amount of control via convenient tuning knobs such as electric gating, external fields, or light-matter coupling. This is why they are also being considered as potential quantum simulators [1] . 

Our workshop will focus on the strongly correlated phases emerging in moiré materials. After the experimental discovery of superconductivity in twisted bilayer graphene in 2018 [2], a plethora of new moiré materials has been investigated. Interestingly, there is experimental evidence for the realization of most of the paradigmatic strongly correlated phenomena observed in solid state systems: strange metals (metals whose electrical resistivity grows linearly upon increasing the temperature, typically observed in materials displaying high temperature superconductivity) [3,4], fractional quantum Hall states (a phenomenon characterized by a fractionally quantized transverse conductivity, and accompanied by the emergence of new particles with a fraction of the electron charge and exchange statistics beyond fermions and bosons) [5, 6], Mott insulators (a phase arising when the repulsive interaction between equally charged particles is so strong that idle local moments are formed) [7, 8, 9, 10], Kondo lattices (the binding of electrons to local magnetic moments, to form heavy fermions, which may be a precursor to exotic quantum critical behaviour) [11, 12, 13]. Spin liquids and other exotic magnetic states (the absence of typical magnetic long-range order at zero temperature, due to frustration) are another paradigmatic class of strongly correlated phases, which has been predicted in moiré materials [14, 15, 16, 17], but has not been observed yet.

The understanding of all these strongly correlated phases, and their relationship with one another remains incomplete. The systematic investigation that is facilitated by the high tunability of the moiré materials promises important advances. On the theoretical side, quantitative approaches are required to accurately model the moiré materials realized in experiments, predict the subsequent phases, and accompany the interpretation of experiments. By bringing together theorists and experimentalists, this workshop will help meet this goal through enhanced discussions and collaborations.

Please refer to the event webpage https://moire25.ch/ to apply to the workshop before February 17th, 2025.