Journal
PHYSICAL REVIEW LETTERS
Volume 121, Issue 10, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.121.106404
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Funding
- National Key Basic Research Program of China [2015CB921600]
- National Natural Science Foundation of China [51672171]
- Eastern Scholar Program from the Shanghai Municipal Education Commission
- fund of the State Key Laboratory of Solidification Processing in NWTPU [SKLSP201703]
- National Science Foundation [DMR-1120901]
- National Research Foundation of Korea (NRF) grant - Korea government (MSIP
- Ministry of Science, ICT Future Planning) [S-2017-0661-000]
- Simons Investigator grant from the Simons Foundation
- U.S. Department of Energy, Office of Basic Energy Sciences [DE-FG02-84ER45118]
- DOE Office of Basic Energy Sciences [DE-FG02-07ER46431]
- China Scholarship Council
- National Research Foundation of Korea [2017R1C1B5018169] Funding Source: Korea Institute of Science & Technology Information (KISTI), National Science & Technology Information Service (NTIS)
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We propose that the noncentrosymmetric LiGaGe-type hexagonal ABC crystal SrHgPb realizes a new type of topological semimetal that hosts both Dirac and Weyl points in momentum space. The symmetry protected Dirac points arise due to a band inversion and are located on the sixfold rotation z axis, whereas the six pairs of Weyl points related by sixfold symmetry are located on the perpendicular k(z) = 0 plane. By studying the electronic structure as a function of the buckling of the HgPb layer, which is the origin of inversion symmetry breaking, we establish that the coexistence of Dirac and Weyl fermions defines a phase separating two topologically distinct Dirac semimetals. These two Dirac semimetals arc distinguished by the 72 index of the k(z) = 0 plane and the corresponding presence or absence of 2D Dirac fermions on side surfaces. We formalize our first-principles calculations by deriving and studying a low-energy model Hamiltonian describing the Dirac-Weyl semimetal phase. We conclude by proposing several other materials in the noncentrosymmetric ABC material class, in particular SrHgSn and CaHgSn, as candidates for realizing the Dirac-Weyl semimetal.
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