Birth of topological defects in a charge density wave

January 12, 2024

Artist’s impression of the birth of a defect.  Graphic courtesy of Michael Zuerch

Graphic: Artist’s impression of the birth of a defect. How fast can a defect form in solids? Using ultrafast electron diffraction, scientists recorded a video of the birth of one-dimensional domain walls in a charge density wave, which is illustrated by the wavy structure. After photoexcitation, these topological defects are found to form well within a picosecond (1 picosecond = 10–12 second) — the intrinsic time scale of atomic vibration. Specifically, it is found that defect formation is tied to a specific type of atomic movement, as illustrated by the vibrating spheres in the foreground. 

Quest for understanding topological defects

Topological defects play an important role in phase transitions. Taking the theory of the early universe as an example, after the Big Bang, the universe rapidly cooled, triggering a series of symmetry-breaking phase transitions. Theoretical physicists like Tom Kibble proposed that topological defects, known as cosmic strings, would accompany these quench-induced phase transitions. Since direct observation of the formation process of cosmic strings in the universe is challenging because one has to create a condition similar to the one immediately after the Big Bang, researchers had to resort to other systems to study the dynamics of topological defects. In this regard, solid crystals provide an ideal platform for investigating the formation process of topological defects at the microscopic level. In crystals, topological defects not only occur during a thermal quench but can also be generated by femtosecond light pulses, which can induce exotic material properties or phase transitions that do not exist in equilibrium. Similar to the problem of cosmic strings, the dynamic formation process of optically induced topological defects has lacked a direct observation at the microscopic lengthscale and ultrafast timescale, and there is no consensus on the exact time required for the formation of topological defects.

To study the formation process of these defects on a nanoscale spatial scale and a femtosecond time scale, an international collaboration between researchers from the Zuerch group at UC Berkeley, Shanghai Jiao Tong University, Brookhaven National Laboratory, UC Los Angeles, University of Amsterdam, and ShanghaiTech University utilized state-of-the-art megaelectron-volt electron diffraction beamline in Shanghai and observed in real-time the dynamic formation process of topological defects in a charge-density wave (CDW) material 1T-TiSe2 under optical excitation. Their work titled "Ultrafast formation of topological defects in a two-dimensional charge density wave" was recently published in Nature Physics  and was featured in journal’s News & Views.

Our findings have far-reaching implications, not only in the realm of basic research but also in applied sciences. By understanding topological defects in 2D charge density waves, we're opening avenues for creating faster and more efficient electronic devices. This advancement could revolutionize the performance of everyday gadgets like smartphones and computers, enhancing speed while extending battery life.
Professor Michael Zuerch, study co-lead PI

“Seeing” defects through diffuse scattering

In contrast to imaging defects directly in real space, this experiment used diffraction to obtain structural information about defects because different defects form different diffraction fingerprints in reciprocal space. Through the analysis and simulation of diffraction peaks and diffuse scattering signals, the research team successfully decoded the dynamic changes in material structure and topological defects after optical excitation.

The study focused on a quasi-two-dimensional (2D) quantum material 1T-TiSe2, which undergoes a charge density wave phase transition near 200 K. In this study, the team measured the sample at a temperature above 200 K, where 1T-TiSe2 exists in a state with only an in-plane, short-range 2D CDW. By analyzing the diffuse scattering signals, which are about 1,000 times weaker than the conventional Bragg peak signals, the team found that each of the three chains of CDWs in the plane has a characteristic anisotropic peak broadening in their corresponding reciprocal space peak, which is a signature of one-dimensional domain walls.

Dr. Zong, Miller Post-doctoral Fellow in the Zuerch group and co-first author of the study, highlighted the groundbreaking findings of their study, saying, “Thanks to the ultra-high temporal resolution and signal-to-noise ratio of our diffraction setup, we were able to uncover new insights into defect formation. Remarkably, we observed that the same time scale of defect formation is accompanied by diffuse scattering signals with a unique distribution in reciprocal space. By integrating these observations with our theoretical simulations of diffuse scattering signals, we discovered that these signals originate from photoexcited longitudinal optical phonons. This is a significant revelation, as these phonons appear to be the triggering factor for the formation of the chain-like domain wall defects we've been examining.” Dr. Zong emphasized the significance of these findings in understanding material behaviors at the microscopic level.

Implications

This research marks a significant leap in fundamental science, offering a practical method to test models of defect formation that, until now, remained purely theoretical. The co-lead PI of the study, Prof. Zuerch, explained, “Our findings have far-reaching implications, not only in the realm of basic research but also in applied sciences. By understanding topological defects in 2D charge density waves, we're opening avenues for creating faster and more efficient electronic devices. This advancement could revolutionize the performance of everyday gadgets like smartphones and computers, enhancing speed while extending battery life.” Furthermore, this research holds the promise of transforming data storage technology. Envision hard drives or SSDs capable of storing and retrieving data more efficiently, utilizing less space, and operating at unprecedented speeds. This is made possible by storing information in the newly understood defects, which we can now control and observe with precision.


More Information

Nature Physics: Ultrafast formation of topological defects in a two-dimensional charge density wave

Nature Physics News & Views: Spot the defects