2020/07/31 by Zhihai Liu, Luyang Wang, Dao‐Xin Yao +1
Materials Science · Physics and Astronomy · #Brillouin zone #Condensed matter physics #Degenerate energy levels #Fermi surface #Fermion #Geometry #Graphene research and applications #Lattice (music) #Physics #Quantum and electron transport phenomena #Quantum mechanics #Skyrmion #Superconductivity #Topological Materials and Phenomena #Topology (electrical circuits) #Vortex #cond-mat.mtrl-sci
paper · pdf · doi:10.1103/physrevb.103.205145
published as Phys. Rev. B 103, 205145 (2021) · 11 pages, 11 figures
arxiv created 2021/05/25 · openalex publication_date 2021/05/25 · arxiv updated 2021/05/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Topological nodal-line semimetals exhibit double or fourfold degenerate nodal lines, which are protected by symmetries. Here, we investigate the possibility of the existence of triply degenerate nodal lines in metals. We present two types of triply degenerate nodal lines, one topologically trivial and the other nontrivial. The first type is stacked by two-dimensional pseudospin-1 fermions, which can be viewed as an critical case of a tunable band-crossing line structure that contains a symmetry-protected quadratic band-crossing line and a nondegenerate band, and can split into four Weyl nodal lines under perturbations. We find that surface states of the nodal line structure are dependent on the geometry of the lattice and the surface termination. Such a metal has a nesting of Fermi surface in a range of filling, resulting in a density-wave state when interaction is included. The second type is a vortex ring of pseudospin-1 fermions. In this system, the pseudospins form Skyrmion textures, and the surface states are fully extended topological Fermi arcs so that the model exhibits 3D quantum anomalous Hall effect with a maximal Hall conductivity. The vortex ring can evolve into a pair of vortex lines that are not closed in the first Brillouin zone. A vortex line cannot singly exist in the lattice model if it is the only nodal feature of the system.