Observation of a singular Weyl point surrounded by charged nodal walls in PtGa

J.-Z. Ma (), Q.-S. Wu, M. Song, S.-N. Zhang, E. B. Guedes, S. A. Ekahana, M. Krivenkov, M. Y. Yao, S.-Y. Gao, W.-H. Fan, T. Qian, H. Ding, N. C. Plumb, M. Radovic, J. H. Dil, Y.-M. Xiong, K. Manna, C. Felser, O. V. Yazyev () and M. Shi ()
Additional contact information
J.-Z. Ma: Paul Scherrer Institute
Q.-S. Wu: École Polytechnique Fédérale de Lausanne
M. Song: High Magnetic Field Laboratory of the Chinese Academy of Sciences
S.-N. Zhang: École Polytechnique Fédérale de Lausanne
E. B. Guedes: Paul Scherrer Institute
S. A. Ekahana: Paul Scherrer Institute
M. Krivenkov: Helmholtz-Zentrum Berlin für Materialien und Energie, Elektronenspeicherring BESSY II
M. Y. Yao: Max Planck Institute for Chemical Physics of Solids
S.-Y. Gao: Chinese Academy of Sciences
W.-H. Fan: Chinese Academy of Sciences
T. Qian: Chinese Academy of Sciences
H. Ding: Chinese Academy of Sciences
N. C. Plumb: Paul Scherrer Institute
M. Radovic: Paul Scherrer Institute
J. H. Dil: Paul Scherrer Institute
Y.-M. Xiong: High Magnetic Field Laboratory of the Chinese Academy of Sciences
K. Manna: Max Planck Institute for Chemical Physics of Solids
C. Felser: Max Planck Institute for Chemical Physics of Solids
O. V. Yazyev: École Polytechnique Fédérale de Lausanne
M. Shi: Paul Scherrer Institute

Nature Communications, 2021, vol. 12, issue 1, 1-8

Abstract: Abstract Constrained by the Nielsen-Ninomiya no-go theorem, in all so-far experimentally determined Weyl semimetals (WSMs) the Weyl points (WPs) always appear in pairs in the momentum space with no exception. As a consequence, Fermi arcs occur on surfaces which connect the projections of the WPs with opposite chiral charges. However, this situation can be circumvented in the case of unpaired WP, without relevant surface Fermi arc connecting its surface projection, appearing singularly, while its Berry curvature field is absorbed by nontrivial charged nodal walls. Here, combining angle-resolved photoemission spectroscopy with density functional theory calculations, we show experimentally that a singular Weyl point emerges in PtGa at the center of the Brillouin zone (BZ), which is surrounded by closed Weyl nodal walls located at the BZ boundaries and there is no Fermi arc connecting its surface projection. Our results reveal that nontrivial band crossings of different dimensionalities can emerge concomitantly in condensed matter, while their coexistence ensures the net topological charge of different dimensional topological objects to be zero. Our observation extends the applicable range of the original Nielsen-Ninomiya no-go theorem which was derived from zero dimensional paired WPs with opposite chirality.

Date: 2021
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DOI: 10.1038/s41467-021-24289-0

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