Graphyne and Borophene as Nanoscopic Materials for Electronics

TL;DR

This paper compares the electronic properties of materials like graphene, graphyne, and borophene, using theoretical derivations, and suggests that graphyne and borophene are promising for future 2D electronic devices.

Contribution

It provides a rigorous theoretical analysis of Dirac-like materials and proposes graphyne and borophene as potential candidates for next-generation 2D electronics.

Findings

Dirac materials are unlikely to meet transistor needs.

Graphyne and borophene are promising 2D electronic materials.

Theoretical derivations validate the analogy between solid state and relativistic particles.

Abstract

Discussions based upon rigorous derivations show the validity range of the analogy between solid state materials like graphene which possess K symmetry crystallographic points in k-space, and the relativistic solutions for massive and low mass particles associated with the Dirac equation. Both eigenenergies and eigenvectors are examined for the nonrelativistic solutions of the Schrodinger equation using the tight-binding method, and the relativistic solutions of the Dirac equation. Implications for exploring new materials are drawn from the results. It is concluded Dirac materials are unlikely to fulfill the needs of transistor action materials, but two prime candidates which may satisfy those needs for 2D future electronics are proposed, graphyne and borophene.