Topological Photonics

Currently it is widely accepted that the concept of topological order allows one to explain the variety of phenomena in condensed matter physics on the single basis including the quantization of Hall resistance occurring even in the presence of defects in the structure and also the phenomenon of anomalous velocity for the particle located in the periodic potential. The Nobel Prize in Physics in 2016 has been awarded for theoretical discoveries of topological phase transitions and topological phases of matter.

The development of condensed matter physics gave rise to the concept of topological insulators which are the structures possessing insulating bulk properties but nevertheless supporting conducting edge modes. One of the relevant and timely problems in the field is the implementation of optical analogues of topological insulators. Such photonic topological insulators would allow one to manipulate light propagation at the nanoscale with great precision and flexibility. Photonic topological insulators can also potentially enable efficient and robust optical devices and systems based on all-optical signal processing.

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