Skyrmions, first proposed in the context of nuclear physics, have since found many applications to the solid state in the form of topological textures in a material’s magnetic order. When skyrmions arise in systems with band topology, Berry-phase effects can endow them with an electric charge in addition to their magnetic moment, with important implications for electrical transport. I’ll start by highlighting recent experimental work using scanning tunneling microscopy to “image” charged valley skyrmions in the quantum Hall states of graphene. I’ll then discuss how skyrmions may arise in magic angle twisted bilayer graphene. In this system skyrmions are predicted to be charge-2 bosons which may Bose condense, potentially giving a new route to electron-mediated superconductivity.
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