Low-dimensional materials provide an opportunity for discovery of new physics because of
enhanced quantum effects and increased correlations. As their properties are heavily influenced
by their surfaces, chemical functionalization is a route to expand their capabilities.
In this talk, I will discuss a system of nanocrystal quantum dots arranged in a triangular array in
which geometric charge frustration is predicted to arise. The major hurdle to achieving this state
has been that disorder dominates the electrical properties. Through chemical modifications, we
eliminate structural defects and probe the intrinsic electrical properties revealing conductance
noise that can be described with Levy statistics. I will then introduce our work on functionalizing
two-dimensional van der Waals materials in pursuit of effects including two-dimensional
ferromagnets, topological superconductivity and valleytronics.
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