Quantum Chains in Graphene Nanoribbons

Estimated reading time: 5 minutes

Empa researchers, together with colleagues from the Max Planck Institute for Polymer Research in Mainz and other partners, have achieved a breakthrough that could in future be used for precise nanotransistors or – in the distant future – possibly even quantum computers, as the team reports in the current issue of the scientific journal "Nature".

A material that consists of atoms of a single element, but has completely different properties depending on the atomic arrangement – this may sound strange, but is actually reality with graphene nanoribbons. The ribbons, which are only a few carbon atoms wide and exactly one atom thick, have very different electronic properties depending on their shape and width: conductor, semiconductor or insulator. An international research team led by Empa's nanotech@surfaces laboratory has now succeeded in precisely adjusting the properties of the ribbons by specifically varying their shape. The particular feature of this technology is that not only can the "usual" electronic properties mentioned above be varied – it can also be used to generate specific local quantum states.

When graphene nanoribbons contain sections of varying width, very robust new quantum states can be created in the transition zone. 

So what's behind it? If the width of a narrow graphene nanoribbon changes, in this case from seven to nine atoms, a special zone is created at the transition: because the electronic properties of the two areas differ in a special, so-called topological way, a "protected" and thus very robust new quantum state is created in the transition zone. This local electronic quantum state can now be used as a basic component to produce tailor-made semiconductors, metals or insulators – and possibly even as a component in quantum computers.

The Empa researchers under the lead of Oliver Gröning were able to show that if these ribbons are built with regularly alternating zones of different widths, a chain of interlinked quantum states with its own electronic structure is created by the numerous transitions. The exciting thing is that the electronic properties of the chain change depending on the width of the different segments. This allows them to be finely adjusted – from conductors to semiconductors with different bandgaps. This principle can be applied to many different types of transition zones – for instance, from seven to eleven atoms.

"The importance of this development is also underlined by the fact that a research group at the University of California, Berkeley, came to similar results independently of us," said Gröning. The work of the US research team has been published alongside Gröning's in the same issue of Nature.

On the Way to Nanoelectronics

Based on these novel quantum chains, precise nano-transistors could be manufactured in the future – a fundamental step on the way to nanoelectronics. Whether the switching distance between the "1" state and the "0" state of the nanotransistor is actually large enough depends on the bandgap of the semiconductor - and with the new method this can be set almost at will.

In reality, however, this is not quite as simple: for the chain to have the desired electronic properties, each of the several hundred or even thousands of atoms must be in the right place. "This is based on complex, interdisciplinary research," says Empa researcher Gröning. "Researchers from different disciplines in Dübendorf, Mainz, Dresden, and Troy (USA) worked together – from theoretical understanding and specific knowledge of how precursor molecules have to be built and how structures on surfaces can be selectively grown to structural and electronic analysis using a scanning tunneling microscope."

An Excursion into the Quantum Realm

Ultrasmall transistors – and thus the next step in the further miniaturization of electronic circuits – are the obvious application possibilities here: although they are technically challenging, electronics based on nano-transistors actually work fundamentally the same as today's microelectronics. The semiconducting nanoribbons produced by the Empa researchers would allow transistors with a channel cross-section 1,000 times smaller than typically manufactured today. However, further possibilities can also be imagined, for example in the field of spintronics or even quantum informatics.

This is because the electronic quantum states at junctions of graphene nanoribbons of different widths can also carry a magnetic moment. This could make it possible to process information not by charge as was previously customary, but by the so-called spin – in the figurative sense the "direction of rotation" of the state. And the development could even go one step further. "We have observed that topological end states occur at the ends of certain quantum chains. This offers the possibility of using them as elements of so-called qubits – the complex, interlocked states in a quantum computer," explains Oliver Gröning.

Top: Schematic representation of the production of hybrid nanobands using two different precursor molecules. The left (small) produces a smooth 7-carbon atom wide nanoband. The larger one produces a 7-11 atom wide, caroform segment. Atomic force microscopy: Atomic force microscope image of a hybrid graphene nanoband with 5 "diamond" segments (7-11 segments) in the middle which is continued left and right by smooth 7-nanobands. The black scale bar is 1 nm long. Scanning tunnel spectroscopy: Spectroscopic image of the localized quantum states (bright regions) at both ends of the diamond region. The section corresponds to that of the atomic force microscope image. Simulation of the scanning tunnel spectroscopy: Theoretical prediction of how the quantum states to be expected at the end of the diamond segment should look in the experiment.

Today and tomorrow, however, no quantum computer is built from nanoribbons – there is still a lot of research needed, says Gröning: "The possibility of flexibly adjusting the electronic properties through the targeted combination of individual quantum states represents a major leap for us in the production of new materials for ultra-miniaturized transistors." The fact that these materials are stable under environmental conditions plays an important role in the development of future applications.

"The further-reaching potential of the chains to create local quantum states and link them together in a targeted manner is also fascinating," Gröning continues. "Whether this potential can actually be exploited for future quantum computers remains to be seen, however. It is not enough to create localized topological states in the nanoribbons – these would also have to be coupled with other materials such as superconductors in such a way that the conditions for qubits are actually met."