Evidence map›Paper›PMID 42436140›Full record

ArticleNature communications2026

Stable real-space invariants and topology beyond symmetry indicators.

Yoonseok Hwang, Vaibhav Gupta, Frank Schindler, Luis Elcoro, Zhida Song, B Andrei Bernevig, Barry Bradlyn

Abstract read
In one paragraph

Article in Nature communications, 2026. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Not yet cited in PubMed.

0numbers the graph read from it
0cells of the map it votes in
0citing papers in PubMed
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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

0 citing papers in PubMed.

No citing paper in PubMed yet.

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

7 authors.

Yoonseok HwangDepartment of Physics, University of Illinois Urbana-Champaign, Urbana, IL, USA.ORCID https://orcid.org/0000-0002-8784-7495
Vaibhav GuptaDepartment of Physics, University of Illinois Urbana-Champaign, Urbana, IL, USA.
Frank SchindlerBlackett Laboratory, Imperial College London, London, United Kingdom.ORCID https://orcid.org/0000-0001-8113-0998
Luis ElcoroDepartment of Physics, University of the Basque Country UPV/EHU, Apartado 644, Bilbao, Spain.ORCID https://orcid.org/0000-0002-5427-0984
Zhida SongInternational Center for Quantum Materials, School of Physics, Peking University, Beijing, China.ORCID https://orcid.org/0000-0002-4987-5962
B Andrei BernevigDepartment of Physics, Princeton University, Princeton, NJ, USA.ORCID https://orcid.org/0000-0001-6337-4024
Barry BradlynDepartment of Physics, University of Illinois Urbana-Champaign, Urbana, IL, USA. bbradlyn@illinois.edu.ORCID https://orcid.org/0000-0001-6327-1076

Funding

EC | EU Framework Programme for Research and Innovation H2020 | H2020 Priority Excellent Science | H2020 European Research Council (H2020 Excellent Science - European Research Council) 101020833Gordon and Betty Moore Foundation (Gordon E. and Betty I. Moore Foundation) GBMF11070Gordon and Betty Moore Foundation (Gordon E. and Betty I. Moore Foundation) GBMF8685National Natural Science Foundation of China (National Science Foundation of China) 12274005National Science Foundation (NSF) DMR-1945058National Science Foundation (NSF) DMR-2011750National Science Foundation (NSF) DMR-2510219Simons Foundation 404513Simons Foundation SFI-MPS-NFS-00006741-01United States Department of Defense | United States Air Force | AFMC | Air Force Office of Scientific Research (AF Office of Scientific Research) FA9550-21-1-0131United States Department of Defense | United States Navy | Office of Naval Research (ONR) N00014-20-1-2303United States Department of Defense | United States Navy | Office of Naval Research (ONR) N00014-20-1-2325United States-Israel Binational Science Foundation (BSF) 2018226
6 · The paper itself

Abstract

We introduce stable real-space invariants (SRSIs), topological invariants defined from adiabatic deformations between Wannier states, generalizing previously discovered local and composite real-space invariants. SRSIs are

Identifiers

PMID42436140
PMCPMC13482105

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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.