Analysis of the Quantum Spin Hall and Quantum Anomalous Hall Effects in a Two-Dimensional Decorated Lattice Using Entanglement Spectrum |

A. Piekarska, P. Potasz and A. Wójs
Department of Theorethical Physics, Wrocław University of Technology, Wybrzeże Wyspiańskiego 27, 50-370 Wrocław, Poland |

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We study topological properties of a two-dimensional decorated lattice using entanglement spectrum and trace index. Using these measures, we distinguish various phases of the system predicted recently, including the quantum spin Hall effect and quantum anomalous Hall effect. The topologically trivial and non-trivial phases are identified, with assignment of a Chern number to each of the bands. |

DOI: 10.12693/APhysPolA.129.A-87 PACS numbers: 73.20.At, 73.43.Cd |