Team Finds Wigner Crystal – Not a Mott Insulator – in "Magic Angle" Graphene



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Wigner crystals proposed for magical angle bilayer graphene. In Figure A, the observation criterion of this network structure is not satisfied experimentally, leading to a metallic transport when a single electron occupies a moiré cell. Figures B and C show the insulating state, explaining the experimental observation when 2 or 3 electrons are in a moire cell. Credit: Philip Phillips, University of Illinois at Urbana-Champaign

Recently, a team of scientists led by Pablo Jarillo-Herrero of the Massachusetts Institute of Technology (MIT) aroused great interest in the field of condensed matter physics when they showed that two sheets of graphene twisted at specific angles " graphene – displays two emerging phases of unobserved material in single sheets of graphene.Graphene is a carbon network of honeycomb – it is essentially a layer graphite of a thickness of an atom, dark matter and flaky pencils.

In two articles published online in March 2018 and published in the April 5, 2018 issue of the journal Nature, the team reported that twisted bilayer graphene (tBLG) exhibits an unconventional superconducting phase, similar to that observed in high temperature superconducting cuprates. This phase is obtained by doping (injecting electrons into) an insulating state, which the MIT group has interpreted as an example of Mott insulation. A joint team of scientists from UCSB and Columbia University has reproduced the remarkable results achieved by MIT. This discovery is promising for the possible development of room temperature superconductors and many other equally revolutionary applications.

Researchers at the University of Illinois at Urbana-Champaign have recently shown that the insulating behavior reported by the MIT team was poorly attributed. Professor Philip Phillips, a renowned expert on Mott's insulator physics, says that a careful study of the MIT's experimental data by his team revealed that the insulating behavior of "magic angle" graphene is not not an insulation of Mott a Wigner crystal.

"People are looking for clear examples of Wigner crystals since Wigner first predicted them in the 1930s," says Phillips. "I think it's even more exciting than if it was a Mott insulator."

Philip Phillips (right), a student at the University of Illinois at Urbana-Champaign, and Bikash Padhi, a graduate student, pose at the Institute of Condensed Matter Physics on the campus of the University of Illinois. 39; Urbana. Credit: Siv Schwink, University of Illinois at Urbana-Champaign

Padhi Bikash, the main student of the University study, explains: "When one graphene sheet is twisted on another, moire patterns appear due to the shift in the honeycomb structure. By artificially injecting electrons into these leaves By increasing the electron density, the MIT group observed an insulating state when 2 and 3 electrons reside in a moire cell. They argued that this behavior is an example of Mott's physics. "

Why is not it Mott's physics?

Phillips explains, "Mott insulators are a class of materials that should be drivers if electronic interactions are not taken into account, but once taken into account, isolate rather. There are two main reasons why we suspect that the tBLG does not form an insulating Mott – the observed metal-insulator transition provides only a single characteristic energy scale, whereas Mott insulators Conventionals are described by two scales. Then, contrary to what is expected of a Mott system, the ratio MIT only 1 electron per cell unit. This is fundamentally incompatible with Mottness. "

The attached figure shows the crystalline states that explain these data.

Zorbing, rolling and bouncing in a swollen transparent ball, has become popular around the world. Bikash Pahdi, a student in Condensed Matter Physics at the University of Illinois at Urbana-Champaign, compares the crystallization of Wigner to swelling zorbs in a closed field, where zorb passengers are electrons and the zorb himself. Credit: Username: Rodw / Wikimedia Commons / Public Domain

What's a Wigner Crystal?

To understand Wigner 's crystals, Padhi proposes this analogy: "Imagine a group of people each lying in a large orb and walking in a closed room.If this orb is small, it can move freely but larger than it can. before and finally there might be a point where all are stuck at their position since every little movement will be immediately prevented by the next person. It's basically what's a crystal. The people here are electrons, and the orb is a measure of their repulsion. "

Phillips gives Padhi the impetus for the study.

These results were pre-published online in the journal Nano Letters in the article, "Two-layer bilayer graphene near Magic Angles: proximity to Wigner's crystallization, no Mott Insulation", September 5, 2018, with the official editorial forthcoming in the October issue 2018 of the magazine.

This research was funded by the Center for Emergent Superconductivity, a research center on energy frontiers funded by the Department of Energy and the National Science Foundation. The conclusions presented are those of the researchers and not necessarily those of the funding agencies.


Explore more:
Rotating at a "magic angle", graphene sheets can form an insulator or superconductor

More information:
philip phillips et al., Doped Twisted Bilayer Graphene near Magic Angles: close to the crystallization of Wigner and not of Mott Insulation, Nano Letters (2018). DOI: 10.1021 / acs.nanolett.8b02033

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