Boron, a nearest-neighbor of carbon, is possibly the second element that can possess free-standing flat monolayer structures, evidenced by recent successful synthesis of single-walled and multiwalled boron nanotubes (MWBNTs). From an extensive structural search using the first-principles particle-swarm optimization (PSO) global algorithm, two boron monolayers (伪
1- and 尾
1-sheet) are predicted to be the most stable 伪- and 尾-types of boron sheets, respectively. Both boron sheets possess greater cohesive energies than the state-of-the-art two-dimensional boron structures (by more than 60 meV/atom based on density functional theory calculation using PBE0 hybrid functional), that is, the 伪-sheet previously predicted by Tang and Ismail-Beigi and the g
1/8- and g
2/15-sheets (both belonging to the 尾-type) recently reported by Yakobson and co-workers. Moreover, the PBE0 calculation predicts that the 伪-sheet is a semiconductor, while the 伪
1-, 尾
1-, g
1/8-, and g
2/15-sheets are all metals. When two 伪
1 monolayers are stacked on top each other, the bilayer 伪
1-sheet remains flat with an optimal interlayer distance of 3.62 脜, which is close to the measured interlayer distance (3.2 脜) in MWBNTs.
Keywords:
boron monolayer sheet; hybrid density functional; interlayer distance; double-walled boron nanotube