Related Experiment Video
Updated: Jul 8, 2025

Fabrication of Three-Dimensional Graphene-Based Polyhedrons via Origami-Like Self-Folding
Published on: September 23, 2018
A versatile model with three-dimensional triangular lattice for unconventional transport and various topological
Jing-Yang You1, Gang Su2, Yuan Ping Feng1,3
1Department of Physics, National University of Singapore, Singapore 117551, Singapore.
Researchers developed a versatile 3D triangular lattice model to explore topological phenomena like the anomalous Hall effect (AHE) and spin Hall effect (SHE) in materials. This model facilitates studying Berry curvature effects and identifying new material candidates.
Area of Science:
- Condensed Matter Physics
- Materials Science
- Topological Materials
Background:
- Finite Berry curvature in topological materials drives phenomena like anomalous Hall effect (AHE), spin Hall effect (SHE), anomalous Nernst effect (ANE), and non-linear Hall effect (NLHE).
- Understanding and harnessing these effects requires precise and versatile theoretical models.
Purpose of the Study:
- To propose a versatile 3D triangular lattice model capable of hosting diverse topological phases.
- To investigate the unconventional transport phenomena arising from topological surface states in this model.
- To identify experimental material candidates exhibiting these topological properties.
Main Methods:
- Development of a 3D triangular lattice model with alternating hopping parameters.
- Theoretical analysis of topological phases, including kagome bands and degenerate fermions.
- Investigation of Berry curvature-induced transport phenomena (AHE, ANE, NLHE, photocurrent effects).
Main Results:
- The proposed lattice model successfully generates various topological phases.
- Unconventional transport phenomena, including AHE, ANE, NLHE, and topological photocurrent, are observed.
- Several experimentally synthesized material candidates exhibiting these topological properties were identified.
Conclusions:
- The 3D triangular lattice model serves as an excellent platform for studying Berry curvature-related physics.
- The identified material candidates offer practical avenues for exploring novel topological phenomena.
- This work bridges theoretical modeling with experimental realization for topological materials research.
Related Concept Videos
Trends in Lattice Energy: Ion Size and Charge
Lattice Centering and Coordination Number
Types of Unit Cells
Imagine taking a large number of identical...
Metallic Solids
All metallic solids exhibit high thermal and electrical conductivity, metallic luster, and malleability....
Structures of Solids
Three-Dimensional Analysis of Strain
Theory of Metallic Conduction
In this theory, Newton's second law of motion is used to determine the acceleration of an electron in the presence of an applied electric field. Then, its velocity is expressed via this acceleration.
An electron moves through the crystal, containing positive ions,...

