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Fragility of Fermi arcs in Dirac semimetals

Yun Wu, Na Hyun Jo, Lin-Lin Wang, Connor A. Schmidt, Kathryn M. Neilson, Benjamin Schrunk, Przemyslaw Swatek, Andrew Eaton, S. L. Bud'ko, P. C. Canfield, and Adam Kaminski
Phys. Rev. B 99, 161113(R) – Published 17 April 2019

Abstract

We use tunable, vacuum ultraviolet laser based angle-resolved photoemission spectroscopy and density functional theory (DFT) calculations to study the electronic properties of Dirac semimetal candidate cubic PtBi2. In addition to bulk electronic states we also find surface states in PtBi2, which is expected as PtBi2 was theoretically predicated to be a candidate Dirac semimetal. The surface states are also well reproduced from DFT band calculations. Interestingly, the topological surface states form Fermi contours rather than double Fermi arcs that were observed in Na3Bi. The surface bands forming the Fermi contours merge with bulk bands in proximity to the Dirac point projections, as expected. Our data confirm the existence of Dirac states in PtBi2 and reveal the fragility of the Fermi arcs in Dirac semimetals. Because the Fermi arcs are not topologically protected in general, they can be deformed into Fermi contours, as proposed by M. Kargarian et al. [Proc. Natl. Acad. Sci. USA 113, 8648 (2016)]. Our results demonstrate the validity of this theory in PtBi2.

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  • Received 18 July 2018

DOI:https://doi.org/10.1103/PhysRevB.99.161113

©2019 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied Physics

Authors & Affiliations

Yun Wu1,2, Na Hyun Jo1,2, Lin-Lin Wang1, Connor A. Schmidt1,2, Kathryn M. Neilson1,2, Benjamin Schrunk1,2, Przemyslaw Swatek1,2, Andrew Eaton1,2, S. L. Bud'ko1,2, P. C. Canfield1,2,*, and Adam Kaminski1,2,†

  • 1Division of Materials Science and Engineering, Ames Laboratory, Ames, Iowa 50011, USA
  • 2Department of Physics and Astronomy, Iowa State University, Ames, Iowa 50011, USA

  • *canfield@ameslab.gov
  • kaminski@ameslab.gov

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Vol. 99, Iss. 16 — 15 April 2019

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Images

  • Figure 1
    Figure 1

    Crystal structure and calculated band structure of cubic PtBi2. (a) Crystal structure of cubic PtBi2 (Pt, white spheres; Bi, red spheres). (b) Brillouin zone of PtBi2. (c) Powder x-ray diffraction (XRD) pattern of PtBi2 (observed pattern, black line; calculated with pyrite structure type [Pa3¯, space group 205], red line; Bi flux peaks, blue stars). (d) Calculated bulk band structure. The red arrow points to the 3D Dirac point along ΓR line. The green color show the magnitude of the projection on Bi p orbitals. It shows the switching of orbital characters at the bulk Dirac point. (e) Calculated surface Fermi surface at EF with surface Green's function using a semi-infinite PtBi2 (001) surface with Bi termination. (f) Same as (e) but at EF+100 meV. The red dots in (e) and (f) mark the projections of the 3D Dirac points in (d). The black arrows point to the surface states (SS). The green arrows mark the spin texture of the surface states.

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  • Figure 2
    Figure 2

    Fermi surface plot and band dispersions of PtBi2. (a) Fermi surface plot: ARPES intensity integrated within 10 meV about the chemical potential. The Fermi surface is generated by overlaying two data sets measured with two different sample orientations. White dots mark high-symmetry points; red dot mark the projection of 3D Dirac point. (b)–(e) Band dispersions along cuts 1–4 in (a). (f)–(i) Calculated dispersions of the surface band along cuts 1–4 in (a). To achieve a better match with (b)–(e), the chemical potentials in (f)–(i) have been shifted upward by 100 meV. The black arrows and red dashed lines in (e) and (i) mark the location of the 3D Dirac point (DP) according to DFT calculations.

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  • Figure 3
    Figure 3

    Fermi surface plots of PtBi2 measured using different photon energies. (a)–(c) Fermi surface plots of PtBi2 measured at photon energies of 6.7, 6.36, and 6.05 eV, respectively. (d) Fitted locations of high-intensity Fermi surface sheets in (a)–(c), showing no obvious photon energy dependence.

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  • Figure 4
    Figure 4

    Constant energy intensity plots of PtBi2. (a)–(d) Constant energy intensity plot of PtBi2 at binding energies of 0, 35, 55, and 70 meV. The red dots mark the projections of the 3D Dirac points on the (001) surface. The red and blue dashed lines mark the “Fermi arc” surface states (SS) disconnected from or connected with the bulk states containing the projection of the 3D Dirac point. (e)–(h) Calculated surface Fermi surface corresponding to (a)–(d), respectively. The white and black arrows in (a)–(h) point to the “Fermi arc” SS.

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