2017/07/09 by Sungjoon Hong, Hong, Sungjoon, Liang Fu +1
Earth and Planetary Sciences · Physics and Astronomy · #FOS: Physical sciences #Photonic Crystals and Applications #Strongly Correlated Electrons (cond-mat.str-el) #Theoretical and Computational Physics #cond-mat.str-el #nanoparticles nucleation surface interactions
paper · pdf · doi:10.48550/arxiv.1707.02594
4+5 pages, 4 figures
arxiv created 2017/07/09 · openalex publication_date 2017/07/09 · arxiv updated 2017/07/11 · openalex created_date 2017/07/21 · openalex updated_date 2026/07/28
We present microscopic Hamiltonians that gap the Dirac fermions on the surface of topological crystalline insulators (TCIs) protected by reflection symmetry and create symmetry-preserving states with Abelian topological orders. For TCIs with n = 2 copies of surface Dirac fermions, we find a fermionic ℤ4 topological order with charge-spin self duality and with a novel symmetry action on the anyons, whereby reflections with respect to two parallel planes act differently. We also analyze TCIs with n = 1 and 4 copies of Dirac fermions, which taken together covers every nontrivial case in the ℤ8 ⊕ ℤ2 classification of interacting TCIs. Our work reveals a fundamental difference between reflection and charge-conjugation-time-reversal symmetry anomalies.