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Fracton models, a collection of exotic gapped lattice Hamiltonians recently discovered in three spatial dimensions, contain some 'topological' features: they support fractional bulk excitations (dubbed fractons), and a ground state degeneracy that is robust to local perturbations.
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Han Ma, Ethan Lake, Xie Chen, and Michael Hermele, “Fracton topological order via coupled layers,” Phys. Rev. B 95
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Abhinav Prem, Jeongwan Haah, and Rahul Nandkishore, “Glassy quantum dynamics in translation invariant fracton models,” Phys. Rev. B 95
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