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• W431290356 abstract "The surface of a three-dimensional topological electron system often hosts symmetry-protected gapless surface states. With the effect of electron interactions, these surface states can be gapped out without symmetry breaking by a surface topological order, in which the anyon excitations carry anomalous symmetry fractionalization that cannot be realized in a genuine two-dimensional system. We show that for a mirror-symmetry-protected topological crystalline insulator with mirror Chern number $n=4$, its surface can be gapped out by an anomalous ${mathbb{Z}}_{2}$ topological order, where all anyons carry mirror-symmetry fractionalization ${M}^{2}=ensuremath{-}1$. The identification of such anomalous crystalline symmetry fractionalization implies that in a two-dimensional ${mathbb{Z}}_{2}$ spin liquid, the vison excitation cannot carry ${M}^{2}=ensuremath{-}1$ if the spinon carries ${M}^{2}=ensuremath{-}1$ or a half-integer spin." @default.
• W431290356 created "2016-06-24" @default.
• W431290356 creator A5011352096 @default.
• W431290356 creator A5069362447 @default.
• W431290356 date "2015-12-02" @default.
• W431290356 modified "2023-09-27" @default.
• W431290356 title "Anomalous Crystal Symmetry Fractionalization on the Surface of Topological Crystalline Insulators" @default.
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• W431290356 doi "https://doi.org/10.1103/physrevlett.115.236801" @default.
• W431290356 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/26684132" @default.
• W431290356 hasPublicationYear "2015" @default.
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