Shape- and size dependent piezoelectric properties of monolayer hexagonal boron nitride nanosheets

We use molecular dynamics simulations (MD) to study piezoelectric properties of hexagonal boron nitride nanosheets (BNNS) and reveal how piezoelectric properties depend on size and shape. We first analyze how the macroscopic shape affects the full 2D structure symmetry and its piezoelectric tensor. In particular, we demonstrate that a hexagonal (rectangular)-shaped BNNS belongs to the hexagonal 6m2 (monoclinic m) point group. Our simulation results show that the piezoelectric constants of BNNS depend strongly on the macroscopic shape, in agreement with the symmetry of the structure, but are nearly independent of the macroscopic size. The present study provides a detailed understanding of the piezoelectric properties of finite size BNNS and guidance to future experiments and optimization of 2D piezoelectric materials in general.