Abstract

Topological insulators are materials that conduct on the surface and insulate in their interior due to non-trivial topology of the band structure. The edge states on the interface between topological (non-trivial) and conventional (trivial) insulators are topologically protected from scattering due to structural defects and disorders. Recently, it was shown that photonic crystals (PCs) can serve as a platform for realizing a scatter-free propagation of light waves. In conventional PCs, imperfections, structural disorders, and surface roughness lead to significant losses. The breakthrough in overcoming these problems is likely to come from the synergy of the topological PCs and silicon-based photonics technology that enables high integration density, lossless propagation, and immunity to fabrication imperfections. For many applications, reconfigurability and capability to control the propagation of these non-trivial photonic edge states is essential. One way to facilitate such dynamic control is to use liquid crystals (LCs), which allow to modify the refractive index with external electric field. Here, we demonstrate dynamic control of topological edge states by modifying the refractive index of a LC background medium. Background index is changed depending on the orientation of a LC, while preserving the topology of the system. This results in a change of the spectral position of the photonic bandgap and the topological edge states. The proposed concept might be implemented using conventional semiconductor technology, and can be used for robust energy transport in integrated photonic devices, all-optical circuity, and optical communication systems.

Highlights

  • Topological insulators (TIs) build a class of materials that act as insulators in their interior and conduct on the surface, while having a non-trivial topological order [1,2,3,4,5]

  • Photonic crystals offer an excellent platform to control the flow of light by virtue of the periodicity of the dielectric constants of its constitutive materials [35]

  • The design of the photonic crystals (PCs) providing topological protection is based on the work of Wu and Hu [1]

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Summary

INTRODUCTION

Topological insulators (TIs) build a class of materials that act as insulators in their interior and conduct on the surface, while having a non-trivial topological order [1,2,3,4,5]. The interface between materials with different topological order supports strongly confined topologically protected edge states. For these states, the energy transport is robust against structural disorders and imperfections that do not change the system’s topology. System preserving the time-reversal symmetry that support spin- and valley-Hall effects have been implemented [10, 11]. We propose a reconfigurable PTI structure based on PC design to realize the photonic analogue of the spin-Hall effect. The tunability of transmission properties for the system is facilitated by the liquid crystal (LC) environment surrounding the PC This structure offers compatibility with CMOS integrated systems, allows for switching at MHz frequencies, and can be designed to operate at telecommunication wavelengths

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