Please use this identifier to cite or link to this item: https://hdl.handle.net/10356/153344
Title: Circuit implementation of a four-dimensional topological insulator
Authors: Wang, You
Price, Hannah M
Zhang, Baile
Chong, Yidong
Keywords: Science::Physics
Issue Date: 2020
Source: Wang, Y., Price, H. M., Zhang, B. & Chong, Y. (2020). Circuit implementation of a four-dimensional topological insulator. Nature Communications, 11(1), 2356-. https://dx.doi.org/10.1038/s41467-020-15940-3
Project: MOE2016-T3-1-006
RG187/18
RG174/16(S)
MOE2018-T2-1-022 (S)
Journal: Nature Communications
Abstract: The classification of topological insulators predicts the existence of high-dimensional topological phases that cannot occur in real materials, as these are limited to three or fewer spatial dimensions. We use electric circuits to experimentally implement a four-dimensional (4D) topological lattice. The lattice dimensionality is established by circuit connections, and not by mapping to a lower-dimensional system. On the lattice's three-dimensional surface, we observe topological surface states that are associated with a nonzero second Chern number but vanishing first Chern numbers. The 4D lattice belongs to symmetry class AI, which refers to time-reversal-invariant and spinless systems with no special spatial symmetry. Class AI is topologically trivial in one to three spatial dimensions, so 4D is the lowest possible dimension for achieving a topological insulator in this class. This work paves the way to the use of electric circuits for exploring high-dimensional topological models.
URI: https://hdl.handle.net/10356/153344
ISSN: 2041-1723
DOI: 10.1038/s41467-020-15940-3
DOI (Related Dataset): 10.21979/N9/KXL3TD
Rights: © 2020 The Author(s). This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons license and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this license, visit http://creativecommons.org/ licenses/by/4.0/.
Fulltext Permission: open
Fulltext Availability: With Fulltext
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