26 November 2021 Fri 3.30 pm

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In this talk, we introduce exactly solvable fracton models on a cubic lattice which is, in fact, the hybridization of the 3D toric code and the X-cube model. Z_3 degrees of freedom are on each link, and the vertex, the cube, and the plaquette terms consist of the models. There are two models: the model with only the vertex and the cube terms present (the AB model) and another one that includes every term (the ABC model). Most of the fracton models have sub-extensive ground state degeneracy (GSD). However, our models have extensive GSD or constant GSD. The models show a non-trivial statistical phase between free vertex excitation and a fluxon or fracton cluster and immobility of fracton accompanied by the creation of fluxons.

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