Left: This image, taken with a scanning tunneling microscope, shows a moiré pattern in "magic angle" twisted bilayer graphene. Right: Scanning tunneling charge spectroscopy, a technique invented by Professor Eva Andrei's group, reveals correlated electrons as shown by the alternating positive (blue) and negative (red) charge stripes that formed in the "magic angle" twisted bilayer graphene seen in the image at left. Credit: Yuhang Jiang/Rutgers University-New Brunswick

When two mesh screens are overlaid, beautiful patterns appear when one screen is offset. These "moiré patterns" have long intrigued artists, scientists and mathematicians and have found applications in printing, fashion and banknotes.

Now, a Rutgers-led team has paved the way to solving one of the most enduring mysteries in materials physics by discovering that in the presence of a moiré pattern in graphene, electrons organize themselves into stripes, like soldiers in formation.

Their findings, published in the journal Nature, could help in the search for quantum materials, such as superconductors, that would work at room temperature. Such materials would dramatically reduce energy consumption by making power transmission and electronic devices more efficient.

"Our findings provide an essential clue to the mystery connecting a form of graphene, called twisted bilayer graphene, to superconductors that could work at room temperature," said senior author Eva Y. Andrei, Board of Governors professor in the Department of Physics and Astronomy in the School of Arts and Sciences at Rutgers University–New Brunswick.

Graphene—an atomically thin layer of the graphite used in pencils—is a mesh made of carbon atoms that looks like a honeycomb. It's a great conductor of electricity and much stronger than steel.

Schematics of a moiré pattern in twisted bilayer graphene. Credit: Eva Andrei/Rutgers University-New Brunswick

The Rutgers-led team studied twisted bilayer graphene, created by superimposing two layers of graphene and slightly misaligning them. This creates a "twist angle" that results in a moiré pattern which changes rapidly when the twist angle changes.

In 2010, Andrei's team discovered that in addition to being pretty, moiré patterns formed with twisted bilayer graphene have a dramatic effect on the electronic properties of the material. This is because the moiré pattern slows down the electrons that conduct electricity in graphene and zip past each other at great speeds.

At a twist angle of about 1.1 degrees—the so-called magic angle—these electrons come to an almost dead stop. The sluggish electrons start seeing each other and interact with their neighbors to move in lock-step. As a result, the material acquires amazing properties such as superconductivity or magnetism.

Using a technique invented by Andrei's group to study twisted bilayer graphene, the team discovered a state where the electrons organize themselves into stripes that are robust and difficult to break.

"Our team found a close resemblance between this feature and similar observations in high-temperature superconductors, providing new evidence of the deep link underlying these systems and opening the way to unraveling their enduring mystery," Andrei said.

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More information: Yuhang Jiang et al. Charge-order and broken rotational symmetry in magic angle twisted bilayer graphene, Nature (2019). Journal information: Nature Yuhang Jiang et al. Charge-order and broken rotational symmetry in magic angle twisted bilayer graphene,(2019). DOI: 10.1038/s41586-019-1460-4