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Triple-Point Fermions in Ferroelectric GeTe

Juraj Krempaský1,†, Laurent Nicolaï2, Martin Gmitra3,*, Houke Chen4, Mauro Fanciulli5, Eduardo B. Guedes1, Marco Caputo1, Milan Radović1, Valentine V. Volobuev6,7 et al.

Ondřej Caha8, Gunther Springholz9, Jan Minár2, and J. Hugo Dil1,10

  • 1Photon Science Division, Paul Scherrer Institut, CH-5232 Villigen, Switzerland
  • 2New Technologies-Research Center, University of West Bohemia, 301 00 Plzeň 3, Czech Republic
  • 3Institute of Physics, P. J. Šafárik University in Košice, Park Angelinum 9, 040 01 Košice, Slovakia
  • 4Department of Physics, Tsinghua University, Beijing 100084, China
  • 5Laboratoire de Physique des Matériaux et Surfaces, CY Cergy Paris Université, 95031 Cergy-Pontoise, France
  • 6International Research Centre MagTop, Institute of Physics, Polish Academy of Sciences, Aleja Lotnikow 32/46, PL-02668 Warsaw, Poland
  • 7National Technical University “KhPI”, Kyrpychova Street 2, 61002 Kharkiv, Ukraine
  • 8Department of Condensed Matter Physics, Masaryk University, Kotlářská 267/2, 61137 Brno, Czech Republic
  • 9Institut für Halbleiter-und Festkörperphysik, Johannes Kepler Universität, A-4040 Linz, Austria
  • 10Institut de Physique, École Polytechnique Fédérale de Lausanne, CH-1015 Lausanne, Switzerland

  • *Corresponding author. martin.gmitra@upjs.sk
  • †Corresponding author. juraj.krempasky@psi.ch
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Phys. Rev. Lett. 126, 206403 – Published 17 May, 2021

DOI: https://doi.org/10.1103/PhysRevLett.126.206403

Abstract

Ferroelectric α-GeTe is unveiled to exhibit an intriguing multiple nontrivial topology of the electronic band structure due to the existence of triple-point and type-II Weyl fermions, which goes well beyond the giant Rashba spin splitting controlled by external fields as previously reported. Using spin- and angle-resolved photoemission spectroscopy combined with ab initio density functional theory, the unique spin texture around the triple point caused by the crossing of one spin-degenerate and two spin-split bands along the ferroelectric crystal axis is derived. This consistently reveals spin winding numbers that are coupled with time-reversal symmetry and Lorentz invariance, which are found to be equal for both triple-point pairs in the Brillouin zone. The rich manifold of effects opens up promising perspectives for studying nontrivial phenomena and multicomponent fermions in condensed matter systems.

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Phys. Rev. Lett. 126, 206403– Published 17 May, 2021
  • Received 13 November 2020
  • Revised 16 February 2021
  • Accepted 8 April 2021
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