2023
DOI: 10.48550/arxiv.2302.03747
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Symmetric higher rank topological phases on generic graphs

Abstract: Motivated by recent interests in fracton topological phases, we explore interplay between gapped 2D Z N topological phases which admit fractional excitations with restricted mobility and geometry of the lattice on which such phases are placed. We investigate the properties of the phases in a new geometric context -graph theory. By placing the phases on a 2D lattice consisting of two arbitrary connected graphs, G x ⊠ G y , we study the behavior of fractional excitations of the phases. We derive the formula of t… Show more

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