Evidence map›Paper›PMID 34824222›Full record

ArticleNature communications2021

Revealing topology with transformation optics.

Lizhen Lu, Kun Ding, Emanuele Galiffi, Xikui Ma, Tianyu Dong, J B Pendry

Abstract read
In one paragraph

Article in Nature communications, 2021. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 1 paper.

0numbers the graph read from it
0cells of the map it votes in
1citing papers in PubMed
–field-weighted citation impact
1 · What the graph read from it

What it found

Each row is one number read from the abstract, on the scale the paper reported it, with its interval. Left of the dashed line favours the treatment, right favours the comparator. Under each row is the sentence it came from. New to these charts? A ten-minute tutorial.

The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.

2 · The registry

The trial behind it

Trials whose registry record cites this paper, or whose number appears in the abstract. A trial that started after this paper was published is citing it as background, not reporting it.

Neither the registry nor the abstract names a trial number. If this is a trial report, that itself is worth knowing.

3 · Its place in the literature

Who cites it

1 citing paper in PubMed.

  1. Reconfigurable, zero-energy, and wide-temperature loss-assisted thermal nonreciprocal metamaterials.Proceedings of the National Academy of Sciences of the United States of America · 2024
    Article
4 · The record

Corrections and comments

PubMed lists nothing against this paper. Absence here is not a guarantee, only a check that was made.

5 · Who and what money

Authors and funding

6 authors.

Lizhen LuState Key Laboratory of Electrical Insulation and Power Equipment, School of Electrical Engineering, Xi'an Jiaotong University, 710049, Xi'an, China.
Kun DingThe Blackett Laboratory, Department of Physics, Imperial College London, London, SW7 2AZ, UK. kunding@fudan.edu.cn.
Emanuele GaliffiThe Blackett Laboratory, Department of Physics, Imperial College London, London, SW7 2AZ, UK.
Xikui MaState Key Laboratory of Electrical Insulation and Power Equipment, School of Electrical Engineering, Xi'an Jiaotong University, 710049, Xi'an, China.
Tianyu DongState Key Laboratory of Electrical Insulation and Power Equipment, School of Electrical Engineering, Xi'an Jiaotong University, 710049, Xi'an, China.ORCID http://orcid.org/0000-0003-4816-0073
J B PendryThe Blackett Laboratory, Department of Physics, Imperial College London, London, SW7 2AZ, UK. j.pendry@imperial.ac.uk.ORCID http://orcid.org/0000-0001-5145-5441

Funding

National Natural Science Foundation of China (National Science Foundation of China) 1217040429National Natural Science Foundation of China (National Science Foundation of China) 51977165Natural Science Foundation of Shanghai (Natural Science Foundation of Shanghai Municipality) 21ZR1403700RCUK | Engineering and Physical Sciences Research Council (EPSRC) EPSRC (EP/L015579/1)RCUK | Engineering and Physical Sciences Research Council (EPSRC) EP/T51780X/1Simons Foundation 855344, EG
6 · The paper itself

Abstract

Symmetry deepens our insight into a physical system and its interplay with topology enables the discovery of topological phases. Symmetry analysis is conventionally performed either in the physical space of interest, or in the corresponding reciprocal space. Here we borrow the concept of virtual space from transformation optics to demonstrate how a certain class of symmetries can be visualised in a transformed, spectrally related coordinate space, illuminating the underlying topological transitions. By projecting a plasmonic system in a higher-dimensional virtual space onto a lower-dimensional system in real space, we show how transformation optics allows us to construct a topologically non-trivial system by inspecting its modes in the virtual space. Interestingly, we find that the topological invariant can be controlled via the singularities in the conformal mapping, enabling the intuitive engineering of edge states. The confluence of transformation optics and topology here can be generalized to other wave realms beyond photonics.

Identifiers

PMID34824222
PMCPMC8617177

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Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.