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  Defect bulk-boundary correspondence of topological skyrmion phases of matter

Liu, S.-W., Shi, L.-k., & Cook, A. M. (2023). Defect bulk-boundary correspondence of topological skyrmion phases of matter. Physical Review B, 107(23): 235109, pp. 1-16. doi:10.1103/PhysRevB.107.235109.

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Liu, Shu-Wei1, Autor           
Shi, Li-kun2, Autor
Cook, Ashley M.1, Autor           
Affiliations:
1Physics of Quantum Materials, Max Planck Institute for Chemical Physics of Solids, Max Planck Society, ou_1863462              
2External Organizations, ou_persistent22              

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 Zusammenfassung: Unpaired Majorana zero modes are central to topological quantum computation schemes as building blocks of topological qubits, and are therefore under intense experimental and theoretical investigation. Their gener-alizations to parafermions and Fibonacci anyons are also of great interest, in particular for universal quantum computation schemes. In this work, we find a different generalization of Majorana zero modes in effectively noninteracting systems, which are zero-energy bound states that exhibit a cross structure (two straight, perpen-dicular lines in the complex plane) composed of the complex number entries of the zero-mode wave function on a lattice, rather than a single straight line formed by complex number entries of the wave function on a lattice as in the case of an unpaired Majorana zero mode. These "cross" zero modes are realized for topological skyrmion phases under certain open boundary conditions when their characteristic momentum-space spin textures trap topological defects. They therefore serve as a second type of bulk-boundary correspondence for the topological skyrmion phases. In the process of characterizing this defect bulk-boundary correspondence, we develop recipes for constructing physically relevant model Hamiltonians for topological skyrmion phases, efficient methods for computing the skyrmion number, and introduce three-dimensional topological skyrmion phases into the literature.

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Sprache(n): eng - English
 Datum: 2023-06-052023-06-05
 Publikationsstatus: Erschienen
 Seiten: -
 Ort, Verlag, Ausgabe: -
 Inhaltsverzeichnis: -
 Art der Begutachtung: -
 Identifikatoren: ISI: 001012615700003
DOI: 10.1103/PhysRevB.107.235109
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Titel: Physical Review B
  Kurztitel : Phys. Rev. B
Genre der Quelle: Zeitschrift
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Ort, Verlag, Ausgabe: Woodbury, NY : American Physical Society
Seiten: - Band / Heft: 107 (23) Artikelnummer: 235109 Start- / Endseite: 1 - 16 Identifikator: ISSN: 1098-0121
CoNE: https://pure.mpg.de/cone/journals/resource/954925225008