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Condensed Matter > Strongly Correlated Electrons
Title: Fracton Self-Statistics
(Submitted on 31 Mar 2023 (v1), last revised 28 Mar 2024 (this version, v2))
Abstract: Fracton order describes novel quantum phases of matter that host quasiparticles with restricted mobility, and thus lies beyond the existing paradigm of topological order. In particular, excitations that cannot move without creating multiple excitations are called fractons. Here we address a fundamental open question -- can the notion of self-exchange statistics be naturally defined for fractons, given their complete immobility as isolated excitations? Surprisingly, we demonstrate how fractons can be exchanged, and show that their self-statistics is a key part of the characterization of fracton orders. We derive general constraints satisfied by the fracton self-statistics in a large class of Abelian fracton orders. Finally, we show the existence of nontrivial fracton self-statistics in some twisted variants of the checkerboard model and Haah's code, establishing that these models are in distinct quantum phases as compared to their untwisted cousins.
Submission history
From: Hao Song [view email][v1] Fri, 31 Mar 2023 18:00:00 GMT (2657kb,D)
[v2] Thu, 28 Mar 2024 17:45:35 GMT (2659kb,D)
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