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A new kind of topological quantum order: A dimensional hierarchy of quasiparticles built from stationary excitations

A new kind of topological quantum order: A dimensional hierarchy of quasiparticles built from stationary excitations

We introduce exactly solvable models of interacting (Majorana) fermions in $d \ge 3$ spatial dimensions that realize a new kind of topological quantum order, building on a model presented in ref. [1]. These models have extensive topological ground-state degeneracy and a hierarchy of point-like, topological excitations that are only free …