Emergence of topological phases by stacking of two-dimensional lattices with nonsymmorphic symmetry

Pok-Man Chiu^1,2*, Cheng-Yi Huang², Wan-Ju Li², Ting-Kuo Lee²

¹Department of Physics, National Tsing Hua University, Hsinchu City, Taiwan
²Institute of Physics, Academia Sinica, Taipei, Taiwan

* Presenter:Pok-Man Chiu, email:pmchiu@phys.sinica.edu.tw

Topological semimetals have a variety of phases, whose Fermi surfaces can be nodal points, nodal lines and nodal loops. In this talk, we propose four classes of 3D minimal models via vertically stacking a 2D nonsymmorphic lattice with and without breaking crystalline symmetries. From the minimal models, four distinct topological phases can be generated in our minimal model, such as Dirac nodal line semimetals, Weyl nodal line semimetals, unconventional Weyl semimetals with topological charge C=2, and weak topological insulators. Unexpectedly, Weyl nodal loops are generated without mirror symmetry protection, where nontrivial ``drumhead" surface states emerge within the loops. Lastly, if the time permits, some of their novel transport properties will be reported.

Keywords: Topological semimetals , Nonsymmorphic symmetry, Topological charge