Refined characterization of lattice Chern insulators by bulk entanglement spectrum

Dah Wei Chiou, Hsien Chung Kao*, Feng Li Lin


研究成果: 雜誌貢獻期刊論文同行評審

1 引文 斯高帕斯(Scopus)


We have studied extensively the band-crossing patterns of the bulk entanglement spectrum (BES) for various lattice Chern insulators. We find that only partitions with dual symmetry can have either stable nodal lines or nodal points in the BES when the system is in the topological phase of a nonzero Chern number. By deforming the Hamiltonian to lift the accidental symmetry, one can see that only nodal points are robust. They thus should bear certain topological characteristics of the BES. By studying the band-crossing patterns in detail, we conclude that the topological characteristics of the BES are inherited from the topological order of the underlying Chern insulators, and the former can have more refined topological structures. We then conjecture that the sum of the vorticities in the BES in a properly chosen reduced Brillouin zone equals the Chern number of the underlying Chern insulator. This relation is beyond the usual classification scheme of topological insulators/superconductors.

期刊Physical Review B
出版狀態已發佈 - 2016 12月 12

ASJC Scopus subject areas

  • 電子、光磁材料
  • 凝聚態物理學


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