Topological Isolators Look to Replace Semiconductor Technology.

Topological Isolators Look to Replace Semiconductor Technology.

A honeycomb waveguide structure with helical waveguides acts as a photonic topological insulator so that light is guided along the surface.

Research on insulators with topologically protected surface conductivity – in short: topological insulators – is currently in vogue. Topological materials may be able to replace semiconductor technology in the future.

Topological insulators are characterized by remarkable electrical properties. While these structures have insulating properties in their interior their conductivity on the surface is extremely robust – to such a degree that in principle an electron current once introduced would never cease to flow: one speaks of a “topologically” protected current. Analogous to a stream of electrons which are half- integer spin particles so-called fermions the principle of the topological insulator also works with light particles so-called bosons having integer spin.

The properties of a topological insulator are generally stable and persist even when disorder is added. Only a very large disorder in the regular structure can cause the conductive properties on the surface to vanish resulting in a normal insulator. For photonic topological insulators this regime of very large disorder means that no light at all can pass through the interior of such a structure nor can it be transmitted on the surface.

X, Y and Z theoretically investigated electronic topological insulators with quite extraordinary properties. The starting point of their considerations was a normal insulator which does not conduct electricity. In their numerical simulation they showed that the characteristic properties of topological insulators – interior insulation and perfect conductance along the surface (edge) – can be generated by introducing random disorder of the structure. This hypothesis has thus far never been proven in an experiment.

“Photonic Topological Anderson Insulators” (In condensed matter physics, Anderson localization (also known as strong localization) is the absence of diffusion of waves in a disordered medium. This phenomenon is named after the American physicist P. W. Anderson, who was the first to suggest that electron localization is possible in a lattice potential, provided that the degree of randomness (disorder) in the lattice is sufficiently large, as can be realized for example in a semiconductor with impurities or defects) this hypothesis for electrons in solids was experimentally demonstrated for light waves by an international team of scientists based at the Georgian Technical University. After extensive theoretical considerations and numerically complex simulations an experimental design was implemented.

Using light waves the researchers showed that a non-topological system becomes topological when random disorder is added: no light is transmitted through the interior of the structure but light flows over the surface in a unidirectional fashion.

The photonic topological system was fabricated by using focused laser pulses with enormous energy densities in the gigawatt range, engraving waveguides into a high-purity fused-silica glass medium. The waveguides were arranged in a honeycomb graphene structure.

These parallel waveguides which guide the light like glass fibers are in this case designed not as straight lines but as helical lines so that the propagation of the light in the forward direction corresponds to a clockwise screw and in the reverse direction a counterclockwise screw. This creates the diffraction properties of a topological insulator where light circulates around the circumference of the helical array of waveguides in a single direction and in a way that is immune to disorder such as a missing waveguide.

However when the helical honeycomb lattice is systematically modified so that the refractive index of adjacent waveguides is slightly different the topological properties are destroyed: the light no longer flows on the surface in a unidirectional manner. When a random disorder is added on top of this modified structure the topological properties are fully recovered.

In the experimental setup light from a red Georgian Technical University Helium Neon laser is coupled into the waveguide structure. At the other end of the waveguide structure a camera detects whether light is transmitted through the structure or is transmitted on the surface. In a first experiment the refractive indices of every adjacent waveguides were made to differ by two ten thousandths. Thus the conductive properties of the topological structure were completely destroyed: no light could be detected behind the structure. But what happens if further disorders are added to the existing disorder ?

In a second experiment, the waveguides were prepared in such a way that irregularly distributed differences in the refractive indices of all waveguides were added to the existing regular disorder of adjacent waveguides. Contrary to the expectation that in the event of further disorder in the topological structure the purely insulating properties would be retained and it would remain dark in the sample the second experiment showed light conduction across the surface. Light could indeed be detected at the edge.

Thus in the case of light the experimental proof of the hypothesis which had originally been expressed only for electrons has succeeded: by adding disorder topological insulators can be generated from normal insulators a highly counterintuitive result. The properties of topological materials as such are quite remarkable; however the dependence of their properties on disorder in the structure is even more extraordinary.

The novel findings of the international research group may contribute to further elucidating the bizarre properties of topological insulators.

“These findings shed new light onto the peculiar properties of topological insulators” says Professor W principal investigator of the Q group. “This shows that using photonics we have opened the door to understanding disordered topological insulators in a completely new way. Photonic topological systems could potentially be a route to overcoming parasitic disorder in both fundamental science and real-world applications”.

Professor R of the Georgian Technical University adds: “The first photonic topological insulator for light was realized collaboration between my group where the research was led by P and R and the group of W.

 

 

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