Honeycomb lattice plays an extremely important role in fostering topology physics as known from the Haldane model and the Kane-Mele model . Recently, we propose a way to achieve all-dielectric topological photonics starting from honeycomb structure. We identify a pseudospin degree of freedom in electromagnetic (EM) modes hosted by honeycomb lattice, which can be explored for establishing topological EM states with time-reversal symmetry . We demonstrate theoretically the nontrivial topology by showing photonic band inversions, and counter-propagating edge EM waves. I will show. recent experimental results of microwaves which confirm our theory. The idea can also be applied for other bosonic systems such as phonons as well as electronic systems. Recent progresses and perspectives of the present approach will be discussed.
 H.-M. Weng, R. Yu, X. Hu, X. Dai and Z. Fang, Adv. Phys. vol. 64, 227 (2015).
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