Topology and ferroelectricity in group-V monolayers
Rehman Mutee Ur1, Hua Chenqiang1, 2, Lu Yunhao1, 2, ‡
       

(a) Electronic band structure of blue phosphorus oxide (BPO) without strain. A and B label the non-degenerate state at the conduction band bottom and the doubly-degenerate state at the valence band top, respectively. (b) Energies of A and B states versus strain. The crossing of the two corresponds to the quantum phase transition between a semiconductor phase and a symmetry protected semimetal (SSM) phase. (c) Energy dispersion around the band crossing point at Fermi level for critical strain +0.6 % (upper panel) and (lower panel) +4 % strain. The low-energy quasiparticles around the crossing point are described by 2D pseudospin-1 fermions and 2D double Weyl fermions.[92] Band structures of the (d) BiF and (e) SbF monolayers with (red) and without (gray) SOC. The bands around the Fermi level consist of the px and py orbitals. The size of the symbols is proportional to the population of the px and py orbitals.[96]