Calculation of the effective mass tensor in ε- and ξ-phosphorene by the density functional theory method

In this work, the effective mass tensor was obtained from the law of dispersion of electrons in the conduction band of various allotropic modifications of phosphorene, calculated using the density functional theory. For calculations, we used the quantum chemical modeling package, OpenMX, which significantly reduces the calculation time for systems consisting of hundreds and thousands of atoms. Comparison of the obtained results of tensors for black and blue phosphorene with other works showed the correctness of the methods used, which were subsequently applied to other less studied allotropicmodifications of phosphorene. In particular, ε- and ξ-phosphorene were studied, which are characterized by a non-hexagonal crystal lattice with an indirect bandgap. This may be of interest from the point of view of discovering interesting acoustic-electronic properties in these materials, for example, resonant absorption of acoustic waves. Parallels between allotropes are drawn. From the point of view of effective mass tensors, ε-phosphorene is isotropic, like blue phosphorene,while ξ-phosphorene, on the contrary, has a non-isotropic structure, like black phosphorene. The results obtained during the study can be used in further study of the physical properties of materials, such as conductivity and photovoltaic effects.