科研之友
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摘要
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 Z(2) topological order, where all anyons carry mirror-symmetry fractionalization M-2 = -1. The identification of such anomalous crystalline symmetry fractionalization implies that in a two-dimensional Z(2) spin liquid, the vison excitation cannot carry M-2 = -1 if the spinon carries M-2 = -1 or a half-integer spin.
- 出版日期2015-12-2
- 单位MIT; 清华大学
