Quasicrystalline spin liquid

A quasicrystal (QC) is an atomic arrangement that is neither perfectly periodic nor randomly disordered. Ranging from the archetypal Al-Mn alloys to more recent moir'e materials, QCs have attracted a growing attention for their unique properties such as robust zero modes. However, the effect of strong electron correlations in the QC setting remains a largely unexplored aspect of the field. In this talk, we will present an exactly solvable Kitaev spin liquid on a tri-coordinated QC. We will discuss the properties of the ground state and low-energy excitations which are distinct from the crystalline counterpart.