Electronic properties of α -graphyne nanoribbons under the electric field effect

Abstract

In this paper, we investigate the electronic structure of both armchair and zigzag α -graphyne nanor-<br><br>ibbons. We use a simple tight binding model to study the variation of the electronic band gap in<br><br>α -graphyne nanoribbon. The effects of ribbon width, transverse electric field and edge shape on the<br><br>electronic structure have been studied. Our results show that in the absence of external electric<br><br>field,zigzag α-graphyne nanoribbons are semimetal and the electronic band gap in armchair α-graphyne<br><br>nanoribbon oscillates and decreases with ribbon's width. By applying an external electric field the band<br><br>gap in the electronic structure of zigzag α-graphyne nanoribbon opens and oscillates with ribbon width<br><br>and electric field magnitude. Also the band gap of armchair α-graphyne nanoribbon decreases in low<br><br>electric field, but it has an oscillatory growth behavior for high strength of external electric field.