Band structure and gaps of triangular graphene superlattices

TL;DR

This paper investigates the electronic band structure of triangular graphene superlattices, revealing conditions for Dirac points and gaps that influence insulating behavior, and discusses effects of strain and magnetic superlattices.

Contribution

It provides a theoretical analysis of the band structure and gap formation in triangular graphene superlattices, including effects of strain and magnetic fields.

Findings

Dirac points can occur at high symmetry points with or without gaps.

Gaps can induce insulating states at specific fillings.

Strain and magnetic superlattices significantly alter electronic properties.

Abstract

General properties of long wavelength triangular graphene superlattice are studied. It is shown that Dirac points with and without gaps can arise at a number of high symmetry points of the Brillouin Zone. The existence of gaps can lead to insulating behavior at commensurate fillings. Strain and magnetic superlattices are also discussed.