When Electrons Sing in Harmony: Geometry-Driven Quantum Coherence in Kagome Crystals

Synchronized electrons in Kagome crystal

Credit: Max Planck Institute for the Structure and Dynamics of Matter (MPSD) / Nature (2025)

In a groundbreaking experiment that blurs the line between physics and art, researchers at the Max Planck Institute for the Structure and Dynamics of Matter (MPSD) in Hamburg have discovered a mesmerizing form of collective quantum behavior in Kagome crystals — a class of materials named after a traditional Japanese basket-weaving pattern. The study, published in Nature, reveals that electrons within these star-shaped lattices can synchronize like singers in a choir, producing a coherent “quantum song” that depends directly on the crystal’s geometric shape.

Quantum Coherence Beyond Superconductivity

Quantum coherence — the synchronized motion of particles acting as overlapping waves — is typically restricted to exotic states such as superconductivity, where electrons pair up and flow without resistance. In normal metals, this delicate coherence is quickly destroyed by scattering and collisions. But in the Kagome metal CsV₃Sb₅, the MPSD team observed something extraordinary: electrons maintained long-range coherence even without superconductivity.

By sculpting microscopic pillars from the crystal — each just a few micrometers wide — and applying magnetic fields, the team detected Aharonov–Bohm-like oscillations in electrical resistance. These oscillations, typically a hallmark of quantum interference, indicated that the electrons were collectively interfering with one another, forming what the researchers describe as a “many-body coherent state.”

When Shape Defines Quantum Behavior

The most remarkable discovery was that the oscillation patterns changed depending on the sample’s geometry. Rectangular pillars produced interference patterns aligned at right angles, while parallelogram-shaped samples exhibited oscillations at 60° and 120°. In other words, the quantum rhythm of the electrons mirrored the physical symmetry of the crystal itself.

“It’s as if the electrons know the shape of the room they’re in,” said Prof. Philip Moll, director at MPSD. “They’re not just flowing; they’re singing in harmony, and the melody changes with the geometry.” This astonishing level of control — where the physical shape of a crystal determines its quantum coherence — opens up new frontiers in materials design. It suggests that engineers could one day “tune” the behavior of quantum materials through structure alone, rather than relying solely on chemical composition.

Kagome Lattices: The Beauty of Geometric Frustration

The Kagome lattice, composed of interlaced triangles and hexagons, has fascinated physicists for decades because of its geometric frustration — a condition where electrons or spins cannot align perfectly, leading to exotic phases like quantum spin liquids, charge density waves, and unconventional superconductivity. The new study extends this complexity beyond atomic-scale frustration, showing that the macroscopic geometry of the crystal itself can influence electron coherence.

In essence, the team discovered that electrons can collectively organize into coherent states that are sensitive to the boundaries and overall shape of the material. This means geometry doesn’t just provide a scaffold for quantum behavior — it actively participates in shaping it.

From Quantum Music to Quantum Design

The implications of this finding extend far beyond the laboratory. If quantum coherence can be sculpted through geometry, scientists could design materials that act like resonant instruments, with specific shapes “tuning” quantum properties such as magnetism, conductivity, or even topological order. This concept — where form defines function at the quantum level — could usher in a new era of “quantum architecture,” where materials are engineered with precision geometries to elicit desired electronic responses.

“It opens a new avenue of designing quantum functionality by reshaping material geometry,” said Dr. Chunyu Guo, the study’s lead author. “We’re learning to think of quantum materials not just as substances to study, but as structures to compose.”

The Road Ahead: Quantum Coherence as a Design Principle

While these experiments were performed on micrometer-scale pillars using advanced ion-beam sculpting techniques, the principle could apply across a broad range of materials. The discovery hints at future applications in quantum computing, nanoelectronics, and quantum sensors, where coherent many-body states can be manipulated by geometry rather than temperature or magnetic fields.

This breakthrough pushes the frontier of condensed matter physics, suggesting that we are entering an era where the geometry of materials can be as important as their chemical makeup. It’s a concept that brings together the elegance of art and the precision of quantum mechanics — a symphony where electrons truly “sing” to the shape of their surroundings.

For more information, read the original research article on Phys.org: https://phys.org/news/2025-10-electrons-synchronize-kagome-crystals-revealing.html


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