Transport Properties for Triangular Barriers in Graphene

TL;DR

This paper analyzes how Dirac fermions in graphene transmit through triangular barriers, revealing oscillatory tunneling behavior and conductance characteristics influenced by barrier parameters.

Contribution

It provides a theoretical analysis of transport properties in graphene with triangular barriers using the transfer matrix method, highlighting new oscillatory tunneling phenomena.

Findings

Minimum conductance at Dirac point

Maximum Fano factor at Dirac point

Oscillatory tunneling peaks with increasing voltage

Abstract

We theoretically study the electronic transport properties of Dirac fermions through one and double triangular barriers in graphene. Using the transfer matrix method, we determine the transmission, conductance and Fano factor. They are obtained to be various parameters dependent such as well width, barrier height and barrier width. Therefore, different discussions are given and comparison with the previous significant works is done. In particular, it is shown that at Dirac point the Dirac fermions always own a minimum conductance associated with a maximum Fano factor and change their behaviors in an oscillatory way (irregularly periodical tunneling peaks) when the potential of applied voltage is increased.