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    Acoustic valley edge states in a graphene-like resonator system by Yang, Yahui, Yang, Zhaoju, Zhang, Baile

    Published 2019
    “…Similar to a gapped graphene, gapless topological valley edge states can be found at a zigzag domain wall separating different domains with opposite valley Chern numbers, while an armchair domain wall hosts no gapless edge states. …”
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    Journal Article
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    Non-invertible Condensation, Duality, and Triality Defects in 3+1 Dimensions by Choi, Yichul, Córdova, Clay, Hsin, Po-Shen, Lam, Ho T., Shao, Shu-Heng

    Published 2023
    “…Interestingly, the fusion coefficients are generally not numbers, but 2+1d TQFTs, such as invertible SPT phases, $${\mathbb {Z}}_N$$ Z N gauge theories, and $$U(1)_N$$ U ( 1 ) N Chern-Simons theories. The associativity of these algebras over TQFT coefficients relies on nontrivial facts about 2+1d TQFTs. …”
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    Article
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