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  Observation of a linked-loop quantum state in a topological magnet

Belopolski, I., Chang, G., Cochran, T. A., Cheng, Z.-J., Yang, X. P., Hugelmeyer, C., et al. (2022). Observation of a linked-loop quantum state in a topological magnet. Nature, 604(7907), 647-652. doi:10.1038/s41586-022-04512-8.

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Belopolski, Ilya1, Author
Chang, Guoqing1, Author
Cochran, Tyler A.1, Author
Cheng, Zi-Jia1, Author
Yang, Xian P.1, Author
Hugelmeyer, Cole1, Author
Manna, Kaustuv2, Author              
Yin, Jia-Xin1, Author
Cheng, Guangming1, Author
Multer, Daniel1, Author
Litskevich, Maksim1, Author
Shumiya, Nana1, Author
Zhang, Songtian S.1, Author
Shekhar, Chandra3, Author              
Schröter, Niels B. M.1, Author
Chikina, Alla1, Author
Polley, Craig1, Author
Thiagarajan, Balasubramanian1, Author
Leandersson, Mats1, Author
Adell, Johan1, Author
Huang, Shin-Ming1, AuthorYao, Nan1, AuthorStrocov, Vladimir N.1, AuthorFelser, Claudia4, Author              Hasan, M. Zahid1, Author more..
Affiliations:
1External Organizations, ou_persistent22              
2Inorganic Chemistry, Max Planck Institute for Chemical Physics of Solids, Max Planck Society, ou_1863425              
3Chandra Shekhar, Inorganic Chemistry, Max Planck Institute for Chemical Physics of Solids, Max Planck Society, ou_1863428              
4Claudia Felser, Inorganic Chemistry, Max Planck Institute for Chemical Physics of Solids, Max Planck Society, ou_1863429              

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 Abstract: Quantum phases can be classified by topological invariants, which take on discrete values capturing global information about the quantum state1–13. Over the past decades, these invariants have come to play a central role in describing matter, providing the foundation for understanding superfluids5, magnets6,7, the quantum Hall effect3,8, topological insulators9,10, Weyl semimetals11–13 and other phenomena. Here we report an unusual linking-number (knot theory) invariant associated with loops of electronic band crossings in a mirror-symmetric ferromagnet14–20. Using state-of-the-art spectroscopic methods, we directly observe three intertwined degeneracy loops in the material’s three-torus, T3, bulk Brillouin zone. We find that each loop links each other loop twice. Through systematic spectroscopic investigation of this linked-loop quantum state, we explicitly draw its link diagram and conclude, in analogy with knot theory, that it exhibits the linking number (2, 2, 2), providing a direct determination of the invariant structure from the experimental data. We further predict and observe, on the surface of our samples, Seifert boundary states protected by the bulk linked loops, suggestive of a remarkable Seifert bulk–boundary correspondence. Our observation of a quantum loop link motivates the application of knot theory to the exploration of magnetic and superconducting quantum matter.

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Language(s): eng - English
 Dates: 2022-04-272022-04-27
 Publication Status: Published in print
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 Rev. Type: -
 Identifiers: DOI: 10.1038/s41586-022-04512-8
Other: Belopolski2022
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Title: Nature
  Abbreviation : Nature
Source Genre: Journal
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Publ. Info: London : Nature Publishing Group
Pages: - Volume / Issue: 604 (7907) Sequence Number: - Start / End Page: 647 - 652 Identifier: ISSN: 0028-0836
CoNE: https://pure.mpg.de/cone/journals/resource/954925427238