**The ’quantized magneto-electric effect’ has been demonstrated for the first time in topological insulators at TU Wien, which is set to open up new and highly accurate methods of measurement. **

After much speculation spanning a long period of time, one variant of this type of effect has now been demonstrated at TU Wien for the first time. Rather than switching the direction of the light wave continually, special materials called ’topological insulators’ do so in quantum steps in clearly defined portions. The extent of these quantum steps depends solely on fundamental physical parameters, such as the fine-structure constant. It may soon be possible to measure this constant even more accurately using optical techniques than is currently possible via other methods. The latest findings have now been revealed in the open-access journal ’Nature Communications’.

Topological insulators

Topological insulators

"We have been working on materials that can change the direction of oscillation of light for some time now," explains Prof. Andrei Pimenov from the Institute of Solid State Physics at TU Wien. As a general rule, the effect depends on how thick the material is: the larger the distance to be travelled by the light in the material, the larger the angle of rotation. However, this is not the case for the materials that Pimenov’s team has now investigated more closely with the assistance of a research group from Würzburg. Their focus has been on ’topological insulators’, for which the crucial parameter is the surface rather than the thickness.

Insulators on the inside, electricity can usually be conducted very effectively along the surface of a topological insulator. "Even when sending radiation through a topological insulator, the surface is what makes all the difference," says Pimenov. When light propagates in this material, the oscillation direction of the beam is turned by the surface of the material twice - once when it enters and again when it exits.

What is most remarkable here is that this rotation takes place in particular portions, in quantum steps, rather than being continuous. The interval between these points is not determined by the geometry or by properties of the material and is instead defined only by fundamental natural constants. For example, they can be specified on the basis of the fine-structure constant, which is used to describe the strength of the electromagnetic interaction. This could open up the possibility of measuring natural constants with more precision than has previously been the case and may even lead to new measuring techniques being identified.

**Increased measurement precision using special materials**

The situation is similar for the quantum Hall effect, which is another quantum phenomenon observed in certain materials, in which case a particular variable (here electrical resistance) can rise only by certain amounts. The quantum Hall effect is currently used for high-precision measurements, with the official standard definition of electrical resistance being based on it. Back in 1985, the Nobel Prize in Physics was awarded for the discovery of the quantum Hall effect.

Topological materials have also already been the subject of a Nobel Prize victory - this time in 2016. It is expected that these latest results will also make it possible for materials with special topological characteristics (in this case topological insulators) to be used for specific technical applications.

**Original publications:**

Nature: V. Dziom et al., Observation of the universal magnetoelectric effect in a 3D topological insulator, Nature Communications 8, 15197 (2017)

https://www.nature.com/articles/ncomms15197

PRL: A. Shuvaev, V. Dziom, Z. D. Kvon, N. N. Mikhailov, and A. Pimenov, Universal Faraday Rotation in HgTe Wells with Critical Thickness, Phys. Rev. Lett. 117, 117401 (2016).

Nature: V. Dziom et al., Observation of the universal magnetoelectric effect in a 3D topological insulator, Nature Communications 8, 15197 (2017)

https://www.nature.com/articles/ncomms15197

PRL: A. Shuvaev, V. Dziom, Z. D. Kvon, N. N. Mikhailov, and A. Pimenov, Universal Faraday Rotation in HgTe Wells with Critical Thickness, Phys. Rev. Lett. 117, 117401 (2016).