Molybdenum dichalcogenides MoX 2 (X = S, Se, Te) have been lately regarded as new and very promising compounds whith potential superiority over the physical limits of silicon to use in future electronic circuits in terms of miniaturization, electricity consumption, and mechanical flexibility. The purpose of the research is to study the transition from 2-D semiconductor to 1-D metal state in MoX 2 by the topological analysis of electron density distribution. It is shown that 2-D−1-D transition is accompanied by the rearrangement of Mo(4d)-electron density, the disruption of multicentered Mo−Mo interaction, loss of trigonal (C 3 ) symmetry, and formation of 1-D metal zigzag chains Mo−Mo−Mo along the selected axis of the structure.
■ INTRODUCTIONThe development of nano systems with switchable conductivity can potentially lead to the architecture of materials with controllable electronic properties. Here, we present a conclusive evidence that the electronic conductivity of twodimensional (2-D) semiconductors MoX 2 (X = S, 1−8 Se, Te) can be switched between "off" and "on" states either spontaneously or under the influence of an external stimulus. The conclusions are achieved with topological analysis of the function of electron density distribution 9,10 in nanolayered MoS 2 , MoSe 2 , and bistable MoTe 2 showing α−β transition 11 from the 2-D semiconductor to 1-D metal state. Similar transitions in one-dimensional (1-D) nanoribbons of MoS 2 can be caused by chemical modification of the edges from armchairterminated (semiconducting form) to the zigzag edges (metallic and ferromagnetic); 12 both forms are promising for nanoscale electronic devices. 13,14 However, the electronic mechanism of transition from semiconductor to metallic state in molybdenum dichalcogenides has not been studied yet. 15 ■ COMPUTATIONAL DETAILS AND THEORETICAL
APPROACHThe density functional theory (DFT) was used to calculate the electron density distribution function of monolayers in molybdenum dichalcogenides MoX 2 (X = S, Se, Te). It should be mentioned that the properties of electron density distribution are most informative and sensitive parameters in relation to any changes of the symmetry properties of the electronic state of multielectron systems in strict accordance with the Hohenberg and Kohn theorem, demonstrating that the ground state properties of a many-electron system are uniquely determined by its electron density. 16 Topological analysis of the electron density distribution function ρ(r,R) (r and R are the coordinates of the electrons and the nuclei) is based on the quantum theory "atoms in molecules" (AIM). 9,10 According to the AIM method, the molecular and crystal structure and the interatomic interactions in the considered systems are completely determined by the set and types of critical points where the electron density gradient ∇ρ(r,R) vanishes. The second derivatives Δρ (r,R) calculated at the critical points form a real symmetric 3 × 3 matrix. It was established 9,10 that in the case of nondegenerate states of the matri...