Designing xenes with two-dimensional triangular lattice
Xu Duan, Zhao Liu, Brendan M. Hanrahan, Wei Zhu, and Shi Liu
Phys. Rev. Materials 4, 124003 (2020) - Published 10 December, 2020
Xenes, graphenelike two-dimensional (2D) monoelemental crystals with a honeycomb symmetry, have been the focus of numerous experimental and theoretical studies. In comparison, single-element 2D materials with a triangular-lattice symmetry have not received due attention. Here, taking Pb as an example, we investigate the triangular-lattice monolayer made of group-IV atoms employing first-principles density functional theory calculations. The flat Pb monolayer supports a mirror-symmetry-protected spinless nodal line in the absence of spin-orbit coupling (SOC). The introduction of an out-of-plane buckling creates a glide mirror, protecting an anisotropic Dirac nodal loop. Both flat and buckled Pb monolayers become topologically trivial after including SOC. A large buckling will make the Pb sheet a 2D semiconductor with symmetry-protected Dirac points below the Fermi level. The electronic structures of other group-IV triangular lattices such as Ge and Sn demonstrate strong similarity to Pb. We further design a quasi-3D crystal by alternately stacking Pb and 1T- monolayers. The new compound is dynamically stable and retains the properties of Pb monolayer. By applying epitaxial strains to , it is possible to drive an insulator-to-metal transition coupled with an antiferroelectric-to-paraelectric phase transition. Our results suggest the potential of the 2D triangular lattice as a complementary platform to design a new type of broadly defined xenes.