Stanford Scientists Have Produced the First Complete Picture of an Elusive Quasiparticle

Quantum Bits QuBits Atomic Particle Physics

For the first time, researchers have imaged the electron and hole of an exciton, demonstrating how excitons can be confined in dense, stable arrays.

Scientists have taken a significant step in understanding these whirling quasiparticles and putting them to work in future semiconductor technologies.

Researchers reported that they have imaged the exciton’s electron and hole for the first time, revealing how excitons may be trapped in dense, stable arrays. According to the scientists, the findings have significant implications for the development of various future technologies as well as the quest to better understand excitons.

The findings were published on March 8th, 2022, in the journal Nature by researchers from the Department of Energy’s SLAC National Accelerator Laboratory, Stanford University, and the Okinawa Institute for Science and Technology (OIST) in Japan.

“When light interacts with matter – whether in absorbing light in photovoltaic devices to produce solar power or in creating light from electricity in LEDs – excitons can play an important role,” said SLAC and Stanford Professor Tony Heinz, who led one of the three research groups that collaborated in the study.

“Both for fundamental understanding and for the development of new technologies, such as single photon emitters for quantum information science, we need a comprehensive picture of the nature and properties of excitons.”

Exciton Diagram

Excitons are technically not particles, but quasiparticles (quasi- meaning “almost” in Latin). They are formed by the electrostatic attraction between excited, negatively charged electrons, and positively charged holes. Holes are spaces left behind by the excited electrons and are themselves a type of quasiparticle. Credit: OIST

Another potential application is information storage, said SLAC staff scientist Ouri Karni: “Excitons absorb and emit light, and they could be used to store information if they were confined to a place that can host only one exciton at a time. This requires them to all be similar to one another and to be confined very nicely, so trapping them is important.”

When light strikes a thin sheet of semiconductor material, excitons are created. This causes electrons to be ejected from their normal positions in atoms, producing vacancies known as “holes” that flow through the material in the same way that electrons do. An exciton is formed when an electron and a hole form a brief bond. The electron and hole spin around each other like dancers holding hands, and they continue in this manner until the electron falls back into the hole.

However, because of the exciton’s short lifetime – as little as a billionth of a second – research on them has stalled. The longer excitons remain together, the more scientists will be able to learn from them and the more useful they will become.

Peering inside an exciton

Until recently, by far the most common way to study excitons was to see how they absorb, emit, or reflect light, said Keshav Dani, an associate professor at OIST who leads the institute’s Femtosecond Spectroscopy Unit. But this approach has significant limitations. For one thing, some excitons are “dark” in the sense that they don’t interact with light, so they can’t be studied that way.

Dani began developing and improving an existing method known as tr-ARPES – time-resolved angle-resolved photoemission spectroscopy – to investigate excitons and other quantum phenomena in new ways around a decade ago.

“With the instrument we developed,” he said, “we could peer inside the exciton and look at the distribution of both electrons and holes.”

Probability Distribution of the Electron Around the Hole Within an Exciton

In the physics of the very tiny, strange quantum concepts apply. Electrons act as both particles and waves and it is therefore impossible to know both the position and the momentum of an electron at the same time. Instead, an exciton’s probability cloud shows where the electron is most likely to be found around the hole. The research team generated an image of the exciton’s probability cloud by measuring the wavefunction. Credit: OIST

When the instrument was ready to go in 2019, the first thing his group did with it was visualize and measure dark excitons. They were also able to determine the balance and interplay between dark and bright excitons in an atomically thin film of semiconductor material.

Around the same time, Dani started collaborating with Heinz and with Stanford Assistant Professor Felipe da Jornada, whose research groups had also been studying excitons.

Last year the combined team announced that they had obtained the first image showing how the electron is distributed with respect to the hole in an exciton. “This is like finding out how far apart the dancers are – how far their arms stretch as they twirl – but it doesn’t tell you where they are on the dance floor,” Karni said. “For that, you also need to image the hole.”

Building an exciton trap

The team looked at excitons that develop at the interface of atomically thin films of two distinct semiconductors in this latest study. This is an exciting frontier because these excitons may last a thousand to a million times longer than those in single layers.

First they measured the size of the exciton’s hole for the first time – a real challenge because the hole is the absence of an electron, not a real particle, and it doesn’t emit any signals of its own. The researchers were able to identify the holes by the distinctive gaps they left in the experimental data.

“This allowed us to get a much more complete picture of both the motion of the electron around the hole and the motion of the entire exciton,” said Elyse Barré, who was a graduate student in the Heinz group at the time of the study.

SLAC Moire Pattern Spectroscopy

When two thin films with repeating patterns are overlain at a specific angle, they produce a moiré pattern. In the field of spectroscopy, this pattern results in varying levels of electronic energy across the sample, a phenomenon called moiré potential. The researchers found that excitons tend to be concentrated in areas where the energy is minimal. Credit: OIST

They then set out to trap excitons by layering thin films of two different semiconductors at a slight angle to each other to create a moiré pattern on an atomic scale. (You can make a large-scale version of that yourself by laying one window screen on top of another at a slight angle). Each hole in the moiré pattern is a sort of energy well that can attract and hold a single exciton, and the materials were designed so the wells would be about as big as the excitons, or even slightly smaller.

When they looked at the moiré structures with tr-ARPES to see if and how the excitons fit into it, they discovered that each exciton sat snugly in its well, like a golf ball cupped by a tee. This was unexpected but fortuitous: It was thought that it would take larger wells to capture excitons, but smaller wells are preferred because they’re much more stable and form more uniform arrays.

With this new ability to comprehensively image composite particles such as excitons, the collaborators say they can move forward to explore more complex arrangements of electrons and holes that will shed light on the nature of many-particle interactions in 2D and other quantum materials.

“Our colleagues at OIST have built up very special measurement capabilities,” Barré said, “and we’re lucky to have been able to collaborate with them.”

OIST staff scientist Michael Man, graduate student Vivek Pareek and postdoctoral researcher Chakradhar Sahoo and Stanford graduate student Johnathan Georgaras also played key roles in this work. Materials were supplied by Columbia University and the National Institute for Materials Science in Japan. The SLAC portion of the research was funded by the DOE Office of Science, including theory and computational study through DOE’s Center for Computational Study of Excited State Phenomena in Energy Materials (C2SEPEM). Work at OIST was supported by the Okinawa Institute of Science and Technology, Graduate University, and the Japan Society for the Promotion of Science.

Reference: “Structure of the moiré exciton captured by imaging its electron and hole” by Ouri Karni, Elyse Barré, Vivek Pareek, Johnathan D. Georgaras, Michael K. L. Man, Chakradhar Sahoo, David R. Bacon, Xing Zhu, Henrique B. Ribeiro, Aidan L. O’Beirne, Jenny Hu, Abdullah Al-Mahboob, Mohamed M. M. Abdelrasoul, Nicholas S. Chan, Arka Karmakar, Andrew J. Winchester, Bumho Kim, Kenji Watanabe, Takashi Taniguchi, Katayun Barmak, Julien Madéo, Felipe H. da Jornada, Tony F. Heinz, and Keshav M. Dani, 9 March 2022, Nature.
DOI: 10.1038/s41586-021-04360-y

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