A new experiment offers scientists an unprecedented look at how different electronic phases emerge, disappear, and re-form inside a quantum material — a finding that could eventually help explain superconductivity and other exotic phenomena.
At first glance, the idea that different phases of matter can exist together seems quite ordinary. A glass of ice water, for example, contains both solid ice and liquid water. But at the quantum scale, materials can display a far stranger form of coexistence — in which electrons themselves organize into different collective patterns within the same material.
Now, physicists at MIT have managed to watch such electronic phases emerge and reassemble in real time.
Experiment revealed two such electronic phases
The researchers studied erbium tritelluride, a rare-earth material whose electrons can spontaneously organize into wave-like patterns known as charge density waves (CDWs). Their experiment revealed that two such electronic phases do not necessarily emerge in the same way. One develops smoothly and uniformly, while the other appears in isolated regions that gradually expand.
The findings, published in Nature Physics, could provide important clues about how complex electronic states — including superconductivity and magnetism — arise and interact in quantum materials.
Under ordinary conditions, electrons in erbium tritelluride are distributed relatively uniformly. But when the material is cooled, the electrons can collectively organize themselves into a repeating wave pattern. This phenomenon is called a charge density wave.
A CDW can be imagined as an electronic landscape in which some regions contain a higher concentration of electrons while neighboring regions contain fewer. Instead of behaving independently, large numbers of electrons coordinate their behavior to form an ordered state.
Erbium tritelluride is particularly interesting because it can develop two different charge density waves.
The first, or dominant, wave appears when the material is cooled to about −8°C. It extends primarily in one direction. When the material is cooled much further — to roughly −113°C — a second wave develops perpendicular to the first.
The result is effectively an electronic checkerboard: two distinct patterns existing together in the same material. For physicists, this raises an important question: How does the second phase actually emerge?
Does it appear everywhere at once? Does it grow gradually? Or does it begin somewhere and spread? Until now, answering that question has been extremely difficult.
“Shake” the material, then watch it recover
To investigate the process, the MIT team cooled atomically thin samples of erbium tritelluride to approximately −230°C, where both charge density waves could coexist. The researchers then used a sophisticated pump-probe laser technique.
The first laser pulse essentially acted as a “shake.” It disturbed or temporarily destroyed the electronic checkerboard pattern. After a carefully controlled delay, a second laser pulse was fired at the material. This pulse knocked electrons out of the sample.
By measuring the energy and momentum of those emitted electrons, the researchers could reconstruct snapshots of what was happening inside the material as its electronic order returned. In simple terms, the scientists disturbed the system and then listened to how it recovered.
As MIT physicist Nuh Gedik described the approach, the researchers effectively “shake” the system and then “listen” to its response. This gave the team something particularly valuable: a way to observe the dynamics of the two electronic phases separately.
Two phases, two very different ways of returning
The experiment produced a surprising result. The dominant charge density wave returned gradually and uniformly. Even when the material was strongly disturbed, the electronic order rebuilt itself smoothly across the sample.
This behavior resembles a familiar type of phase transition known as a second-order transition.
The researchers compare it to the gradual loss of magnetism in a material as it is heated: there is no sudden appearance of large isolated regions. Instead, the order changes continuously. But the second, subdominant charge density wave, behaved very differently.