# Transport Properties in Graphene Superlattices

## TL;DR

This paper investigates the electronic transport in graphene superlattices with three regions, revealing transmission gaps, conductance minima, and Fano factor maxima at Dirac points using Chebyshev polynomials and transfer matrix methods.

## Contribution

It introduces a method to explicitly calculate transmission, conductance, and Fano factor in symmetrical graphene superlattices with three regions.

## Key findings

- Transmission gaps at Dirac points
- Minimum conductance at Dirac points
- Maximum Fano factor at Dirac points

## Abstract

Using Chebyshev polynomials, we study the electronic transport properties of massless Dirac fermions in symmetrical graphene superlattice composed of three regions. Matching wavefunctions and using transfer matrix method, we explicitly determine transmission probability as well as the conductance and Fano factor. At vertical Dirac points, we numerically find that the transmission probability shows transmission gaps, conductance has minimums and Fano factor has maximums.