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Updated: Jun 12, 2026

Fabrication of Three-Dimensional Graphene-Based Polyhedrons via Origami-Like Self-Folding

Fabrication of Three-Dimensional Graphene-Based Polyhedrons via Origami-Like Self-Folding

Published on: September 23, 2018

Magic-angle helical trilayer graphene.

Trithep Devakul^1,2, Patrick J Ledwith³, Li-Qiao Xia¹

¹Department of Physics, Massachusetts Institute of Technology, Cambridge, MA 02139, USA.

Science Advances

|September 6, 2023

Summary

This summary is machine-generated.

We introduce magic-angle helical trilayer graphene (HTG), a novel material platform. HTG enables the experimental realization of exotic correlated topological states due to its unique flat topological bands.

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Area of Science:

Condensed Matter Physics
Materials Science
Quantum Physics

Background:

Topological states of matter offer novel electronic properties.
Graphene-based heterostructures are promising for exploring exotic quantum phenomena.
Realizing correlated topological states experimentally remains a challenge.

Purpose of the Study:

To propose magic-angle helical trilayer graphene (HTG) as a novel platform for correlated topological states.
To investigate the electronic band structure and topological properties of HTG.
To assess the experimental accessibility of HTG for realizing exotic quantum matter.

Main Methods:

Theoretical proposal of magic-angle helical trilayer graphene (HTG).
Analysis of the relaxed structure and band formation in HTG.
Investigation of quantum geometry and band gaps.

Main Results:

HTG locally relaxes into a periodic single-moiré structure.
The structure realizes flat topological bands with nontrivial valley Chern number.
These bands exhibit near-ideal quantum geometry and large energy gaps.

Conclusions:

HTG is an experimentally accessible platform for exotic correlated topological states.
The unique band structure of HTG is suitable for realizing quantum anomalous Hall states.
This work paves the way for experimental investigations of correlated topological matter.