The hexagon lattice is characteristic of graphene: the wave symbolizes the movement of the electrons. Image: TU Wien.
The hexagon lattice is characteristic of graphene: the wave symbolizes the movement of the electrons. Image: TU Wien.

Nothing in the world is perfect. This is also true in materials research. In computer simulations, a system is often represented in a highly idealized way, by, for example, calculating the properties that an absolutely perfect crystal would have. In practice, however, there are always additional effects – such as defects in the crystal lattice, additional particles that attach to the material and complicated interactions between the particles. The crucial question is therefore: do these unavoidable additional effects change the material properties or not?

This is particularly interesting in the case of the two-dimensional (2D) material graphene, which consists of only a single layer of carbon atoms. It has long been known that graphene has excellent electronic properties. However, it was unclear until now how stable these properties are. Are they destroyed by disturbances and additional effects, which are unavoidable in practice, or do they remain intact?

Researchers at Vienna University of Technology (TU Wien) in Austria have now succeeded in developing a comprehensive computer model of realistic graphene structures. This revealed that the desired effects are very stable. Even graphene pieces that are not quite perfect can be used for technological applications, which is good news for the global graphene community. The researchers report their findings in a paper in Carbon.

“We calculate on an atomic scale how electric current propagates in a tiny piece of graphene,” says Florian Libisch from the Institute of Theoretical Physics at TU Wien. “There are different ways an electron can move through the material. According to the rules of quantum physics, it doesn't have to choose one of these paths; the electron can take several paths at the same time.”

These different paths can then overlap in different ways. At very specific energy values, the paths cancel each other out; at this energy, the probability of electrons passing through the graphene piece is very low, and the electric current is minimal. This is called ‘destructive interference’.

“The fact that the current flow decreases dramatically at very specific energy values for quantum physical reasons is a highly desirable effect technologically,” explains Libisch. “This can be used, for example, to process information on a tiny size scale, similar to what electronic components do in computer chips.”

It can also be used to develop novel quantum sensors. Suppose a graphene piece conducts virtually no current at all. Then, suddenly, a molecule from the outside attaches to the graphene surface. “This one molecule changes the electronic properties of the graphene piece a tiny bit, and that can already be enough to suddenly increase the current flow quite drastically,” says Robert Stadler, also from the Institute of Theoretical Physics at TU Wien. “This could be used to make extremely sensitive sensors.”

But the physical effects that play a role in this process are very complicated. “The size and shape of the graphene piece is not always the same, and there are many-body interactions between several electrons that are very difficult to calculate mathematically,” says Angelo Valli, also from the Institute of Theoretical Physics at TU Wien. “There may be unwanted extra atoms in some places, and the atoms always wobble a bit – all of this has to be taken into account in order to be able to describe the material graphene in a truly realistic way.”

This is exactly what has now been achieved at TU Wien: Libisch, Valli, Stadler and their colleague Thomas Fabian have years of experience in correctly describing different effects in materials in computer models. By combining their expertise, they have now succeeded in developing a comprehensive computer model that includes all relevant error sources and perturbation effects that exist in graphene. And by doing so, they were able to show that, even in the presence of these error sources, the desired effects are still visible. It is still possible to find a certain energy at which current flows only to a very small extent due to quantum effects. Experiments had already shown that this is plausible, but a systematic theoretical investigation was missing until now.

This proves that graphene does not have to be perfect to be used for quantum information technology or quantum sensing. For applied research in this field, this is an important message.

This story is adapted from material from TU Wien, with editorial changes made by Materials Today. The views expressed in this article do not necessarily represent those of Elsevier. Link to original source.