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We provide a new perspective on fracton topological phases, a class of three-dimensional topologically ordered phases with unconventional fractionalized excitations that are either completely immobile or only mobile along particular lines or planes.
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Cited in the paper.
See the Supplementary Material for a more detailed description of degenerate perturbation theory and the relation of our work to coupled-layer constructions
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In fact, for an L × L × L L\times L\times L system, a detailed analysis shows that the ground-state degeneracy is 2 12 L − 10 2^{12L-10}
Cited in the paper.
The coupled-spin-chain models in this work typically describe type-I fracton phases as they have excitations that are mobile along the individual spin chains. Nevertheless, type-II fracton phases with only immobile excitations can in principle also be captured if all spin chains form closed loops. This extension of our work is currently in progress
Cited in the paper.