A new physics theory could explain why transparent ceramics manipulate light far better than existing models predicted.
Study: Dynamic Atomistic Polar Structure Underpins Ultrahigh Linear Electro-Optic Coefficient in Transparent Ferroelectric Ceramics Image. Credit: Andrzej Rostek/Shutterstock.com
The recent research from Penn State has proposed a sophisticated theory that elucidates the reasons behind the exceptional light control capabilities of ceramic materials, potentially paving the way for the large-scale production of these substances for quicker, more compact, and energy-efficient technologies used in high-speed communications, medical imaging, and advanced sensing. The study was published in the Journal of the American Chemical Society.
The novel category of ceramics is not only transparent but also possesses the ability to manipulate light with remarkable efficiency, surpassing all theoretical predictions.
To address the enigma surrounding the unexpectedly superior electro-optic properties of transparent ceramics - specifically, their capacity to alter the bending or transmission of light upon the application of voltage - Haixue Yan, a reader in materials science and engineering at Queen Mary University of London, consulted with Zi-Kui Liu, a professor of materials science and engineering at Penn State.
Liu had previously formulated an advanced theory of entropy, which posits that systems tend to move towards disorder in the absence of energy to maintain order. This sophisticated theory, referred to as zentropy theory, integrates quantum mechanics, thermodynamics, and statistical mechanics into a cohesive predictive model.
Collaborating with a team from various institutions across six countries, they found an answer.
Ceramics present significant benefits for optical technologies as they are considerably less expensive to produce compared to single crystals, simpler to scale into functional components, and enable accurate control over composition.
The material needs to be transparent to allow light to pass through seamlessly, a persistent challenge that recent advancements in processing have ultimately addressed for use in electro-optic devices.
Ceramics are much cheaper, easier to manufacture, and allow precise control of the material’s chemical composition. The challenge is that ceramics must be transparent, so the light can pass through them smoothly without distortion, before they can function as electro-optic materials.
Zi-Kui Liu, Professor, Materials Science and Engineering, Penn State
Researchers attained transparency through enhanced manufacturing techniques that eliminate the minute imperfections within the ceramic. These imperfections typically scatter light, resulting in a cloudy appearance of the material. The latest methods facilitate a more uniform alignment of the ceramic's internal grains, significantly reducing defects and permitting light to pass directly through.
The research team employed these techniques to produce the fully transparent ceramics used in the study. Consequently, this led to the unexpectedly strong electro-optic results, which surprised the researchers.
There was no existing theory in the ferroelectrics community that could explain these results.
Zi-Kui Liu, Professor, Materials Science and Engineering, Penn State
Liu explained that Yan learned of his zentrophy theory and reached out to collaborate.
Liu stated that the team was inspired by indications found in the scientific literature suggesting that transparent ferroelectric single crystals featuring dense domain walls might exhibit exceptionally strong electro-optic properties.
Researchers theorized that if atypical electro-optic behavior manifested in single crystals characterized by numerous domain walls, the internal boundaries that distinguish differently oriented regions within the material, then the same fundamental mechanism could potentially be observed in ceramics, which inherently possess even more complex domain structures.
Yan, Liu, and their colleagues discovered that a similar mechanism was present, resulting in significantly enhanced performance after examining the transparent ceramic materials. The challenge was to comprehend the underlying reasons.
In standard ferroelectric materials, the electric charge is organized into large 'domains,' which are areas composed of thousands of atoms that align and reverse direction collectively when a voltage is applied.
These substantial domains function effectively for technologies that operate at slower, radio-frequency speeds; however, they are unable to respond swiftly enough to the extremely rapid light waves used in photonics. The researchers indicated that large domains could not explain the exceptionally strong electro-optic effects observed in transparent ceramics.
The team used high-resolution transmission electron microscopy along with sophisticated computer simulations to examine the material at a significantly smaller scale. The team discovered that the material comprised minuscule pockets of polarization measuring merely a few atoms in width.
These diminutive, rapidly responding structures, akin to "mini-domains," provided insight into the exceptional performance.
These very small polar features have extremely fast relaxation times. They can adjust their electronic polarization almost instantly under an applied field.
Zi-Kui Liu, Professor, Materials Science and Engineering, Penn State
Liu clarified that these small polar regions are not fixed. Rather, they are in a constant state of fluctuation and are dynamic, enabling them to react at optical speeds.
“This behavior is very different from typical ferroelectrics,” said Yan.
Liu's zentropy theory provided the team with insights into the reasons behind the distinct behavior of the new ceramics, which deviated significantly from the predictions made by existing ferroelectric models.
According to Liu, zentropy is intended to encapsulate the continuous shifting, vibrating, and rearranging of atoms within a material. This is a phenomenon that conventional theories often dismiss as mere background noise.
The researchers were able to chart all the minute structural states that the atoms could assume and subsequently compute how these rapid fluctuations collectively impact the overall performance of the material using the concept of zentropy.
This methodology proves particularly advantageous for ferroelectrics, whose internal structures exhibit high levels of dynamism, especially at the elevated frequencies employed in photonics, as stated by the researchers.
The researchers discovered that zentropy theory could elucidate why the small, rapidly moving polar regions they identified were capable of responding at optical speeds. When a material's internal structure disintegrates into these minuscule, fluctuating units, the energy required for polarization reversal becomes exceedingly low.
The material can adapt to an applied electric field almost instantaneously, resulting in the ultrahigh electro-optic response observed in the experiments. Traditional theories, which posit larger and slower-moving domain structures, were unable to explain this behavior.
Liu emphasized that zentropy demonstrated that the exceptional performance was not merely a fortunate coincidence but rather a natural outcome of the atomic-scale dynamics of the material.
By breaking the larger system into smaller atomic units, the energy barrier for polarization changes becomes much lower. That allows the response to be extremely fast.
Zi-Kui Liu, Professor, Materials Science and Engineering, Penn State
This comprehension is essential for the future scalability of transparent ceramics production, Liu stated. The researchers have already shown that their ceramics can be consistently produced at a laboratory scale, and they are currently focused on increasing production, assessing long-term reliability, and creating safer lead-free alternatives for the industry.
With progress in these areas, we are optimistic that practical devices could follow in the near future.
Zi-Kui Liu, Professor, Materials Science and Engineering, Penn State
These innovative devices have the potential to transform essential optical technologies, including fiber optic internet systems, autonomous vehicle navigation, and advanced medical diagnostics, among others, which drive the contemporary digital economy, according to the researchers.
The team noted that lithium niobate has served as the primary material in these applications for many years. The application of electricity alters the way lithium niobate refracts light, but the change is minimal, akin to shifting a ruler by the thickness of a few atoms. The ceramics introduced in this recent study exhibit coefficients that significantly exceed that degree.
These materials could pave the way for a new generation of electro-optic devices that are smaller, faster, more energy efficient, and lower cost. Potential applications include optical modulators, optical switches, communication components, sensors, and integrated photonics.
Haixue Yan, Materials Science and Engineering Student, Queen Mary University of London
Journal Reference:
Jiang, Q., et al. (2025) Dynamic Atomistic Polar Structure Underpins Ultrahigh Linear Electro-Optic Coefficient in Transparent Ferroelectric Ceramics. Journal of the American Chemical Society. DOI: 10.1021/jacs.5c15699.