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Two-dimensional photonic crystals made of six air holes on a core-shelldielectric material has been proposed to study the newly emerged photonicquantum spin Hall insulator. Specifically, radii modification of the air holesand core-shell without breaking time-reversal (TR) symmetry are supported bythe C_6 point group symmetry upon a proposed scheme. It is shown that multipletopological transitions from an ordinary insulator with zero spin Chern number(Cs) to a topological insulator with a non-zero Cs can be achieved by modifyingthe geometry of the photonic structure. Studying the two counter-propagatinghelical edge modes which have the opposite group velocities are of individualimportance for various optical purposes like scattering-free waveguidesprotected to various defects, disorders and strong light-matter interactions.We show that topological edge states demonstrate slow light characteristics.The findings emphasize the fact that exploring topological phase transition canbe applied as a unique approach for realizing light transport, robust energytransportation and slow light in integrated photonic circuits and devices.

Robust Transport of the Edge Modes along the Photonic Topological Interfaces of Different Configurations