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Topological insulation is recently discovered phenomenon encountered in various areas of physics, such as condensed matter, matter waves, and optics [1]. Linear topological edge states were found in honeycomb arrays of helical waveguides [2] and polariton microcavities with honeycomb lattice [3]. The latter system is especially attractive for realization of topological insulators, since its energy...
In the field of topology, it is commonly accepted that for two-dimensional spin-decoupled structures a complete topological characterization is provided by the Chern numbers of the system[1]. The number of the extraordinarily robust chiral edge modes residing in a band gap is given by the sum of the Chern numbers of all bands below this gap. However, this is strictly true only for systems with a Hamiltonian...
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