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Magnetic warping in topological insulators

Gabriele Naselli, Ali G. Moghaddam, Solange Di Napoli, Verónica Vildosola, Ion Cosma Fulga, Jeroen van den Brink, and Jorge I. Facio
Phys. Rev. Research 4, 033198 – Published 12 September 2022

Abstract

We analyze the electronic structure of topological surface states in the family of magnetic topological insulators MnBi2nTe3n+1. We show that, at natural-cleavage surfaces, the Dirac cone warping changes its symmetry from hexagonal to trigonal at the magnetic ordering temperature. In particular, an energy splitting develops between the surface states of the same band index but opposite surface momenta upon formation of the long-range magnetic order. As a consequence, measurements of such energy splittings constitute a simple protocol to detect the magnetic ordering via the surface electronic structure, alternative to the detection of the surface magnetic gap. Interestingly, while the latter signals a nonzero surface magnetization, the trigonal warping predicted here is, in addition, sensitive to the direction of the surface magnetic flux. Our results may be particularly useful when the Dirac point is buried in the projection of the bulk states, caused by certain terminations of the crystal or in hole-doped systems, since in both situations the surface magnetic gap itself is not accessible in photoemission experiments.

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  • Received 20 May 2022
  • Accepted 1 August 2022

DOI:https://doi.org/10.1103/PhysRevResearch.4.033198

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.

Published by the American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied Physics

Authors & Affiliations

Gabriele Naselli1, Ali G. Moghaddam1,2,3, Solange Di Napoli4,5, Verónica Vildosola4, Ion Cosma Fulga1, Jeroen van den Brink1, and Jorge I. Facio1,5,6

  • 1Institute for Theoretical Solid State Physics, IFW Dresden and Würzburg-Dresden Cluster of Excellence ct.qmat, Helmholtzstr. 20, 01069 Dresden, Germany
  • 2Department of Physics, Institute for Advanced Studies in Basic Sciences (IASBS), Zanjan 45137-66731, Iran
  • 3Computational Physics Laboratory, Physics Unit, Faculty of Engineering and Natural Sciences, Tampere University, P.O. Box 692, FI-33014 Tampere, Finland
  • 4Departamento de Física de la Materia Condensada, GIyA-CNEA, Av. General Paz 1499, (1650) San Martín, Pcia. de Buenos Aires, Argentina
  • 5Instituto de Nanociencia y Nanotecnología (INN CNEA-CONICET), 1650 San Martín, Argentina
  • 6Centro Atómico Bariloche and Instituto Balseiro, CNEA, 8400 Bariloche, Argentina

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Vol. 4, Iss. 3 — September - November 2022

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