Graphene Nanoribbon and Graphene Nanodisk

TL;DR

This paper investigates the electronic properties of finite graphene nanoribbons and nanodisks with various edge configurations, revealing the absence of metallic states in most cases and the ability to tune degeneracy in trigonal zigzag nanodisks.

Contribution

It provides new insights into the electronic states of finite graphene derivatives and demonstrates how to control degeneracy in trigonal zigzag nanodisks.

Findings

Finite-length zigzag nanoribbons lack metallic states.

Most nanodisks do not exhibit metallic states except trigonal zigzag nanodisks.

Degeneracy of metallic states in trigonal zigzag nanodisks can be arbitrarily designed.

Abstract

We study electronic properties of graphene derivatives which have closed edges. They are finite-length graphene nanoribbons and graphene nanodisks. No metallic states are found in finite-length zigzag nanoribbons though all infinite-length zigzag nanoribbons are metallic. We also study hexagonal, parallelogrammic and trigonal nanodisks with zigzag or armchair edges. No metallic states are found in these nanodisks either except trigonal zigzag nanodisks. It is interesting that we can design the degeneracy of the metallic states arbitrarily in trigonal zigzag nanodisks by changing the size.