This paper presents the experimental implementation of a four-dimensional (4D) topological insulator using electric circuits. The 4D lattice is realized through circuit connections, not by mapping to a lower-dimensional system. Topological surface states, associated with a non-zero second Chern number but vanishing first Chern numbers, are observed on the lattice's 3D surface. This 4D lattice belongs to symmetry class A1, which is topologically trivial in lower dimensions, making this a unique achievement. The study demonstrates the potential of electric circuits for exploring high-dimensional topological models.
Publisher
Nature Communications
Published On
May 12, 2020
Authors
You Wang, Hannah M. Price, Baile Zhang, Y. D. Chong
Tags
four-dimensional
topological insulator
electric circuits
Chern number
symmetry class
high-dimensional models
experimental implementation
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