Electronic band gap and transport in Fibonacci quasi-periodic graphene superlattice

TL;DR

This study explores the electronic properties of Fibonacci quasi-periodic graphene superlattices, revealing a robust zero-k gap and defect modes that influence electron transport, with potential applications in electronic control.

Contribution

It demonstrates the existence and characteristics of a zero-k gap in Fibonacci graphene superlattices, highlighting its insensitivity to incidence angle and lattice variations, and the impact of defect modes on transport.

Findings

Zero-k gap exists in all Fibonacci sequences.

Zero-k gap is less sensitive to incidence angle and lattice constants.

Defect modes significantly affect transmission, conductance, and shot noise.

Abstract

We investigate electronic band gap and transport in Fibonacci quasi-periodic graphene superlattice. It is found that such structure can possess a zero-$\bar{k}$ gap which exists in all Fibonacci sequences. Different from Bragg gap, zero-$\bar{k}$ gap associated with Dirac point is less sensitive to the incidence angle and lattice constants. The defect mode appeared inside the zero-$\bar{k}$ gap has a great effect on transmission, conductance and shot noise, which can be applicable to control the electron transport.