Bending-induced phase transition in monolayer black phosphorus |
Bending strain energies changing with radius of curvature for BP bent into nanotubes. (a) The curve of bending strain energy (in pink) in zigzag bending induced phase transition zone (PT zone) becomes significantly lower than the curve without phase transitions (in blue). For tubes with radius of curvature larger than the critical value r cr, no bending-induced phase transition (NPT zone) appears. (b) Comparison of bending strain energies of armchair and zigzag tubes between before and after the phase transition. Blue diamonds and circles indicate armPNT and zigPNT before phase transition, and pink pentagrams indicate phase transition phosphorus nanotube (zptPNT) under zigzag bending. |