Transmission via Triangular Double Barrier and Magnetic Fields in Graphene

TL;DR

This paper investigates how Dirac fermions in graphene transmit through a triangular double barrier potential influenced by an external magnetic field, revealing oscillation resonances linked to Klein tunneling.

Contribution

It introduces a detailed analysis of transmission probabilities in graphene with a novel triangular double barrier and magnetic field, deriving explicit expressions for transmission and reflection coefficients.

Findings

Transmission shows oscillation resonances due to Klein tunneling.

Magnetic field influences the transmission probability.

Explicit transfer matrix solutions for the system.

Abstract

We study the transmission probability of Dirac fermions in graphene scattered by a triangular double barrier potential in the presence of an external magnetic field. Our system made of two triangular potential barrier regions separated by a well region characterized by an energy gap $G_p$. Solving our Dirac-like equation and matching the solutions at the boundaries we express our transmission and reflection coefficients in terms of transfer matrix. We show in particular that the transmission exhibits oscillation resonances that are manifestation of the Klein tunneling effect.