Goos-Hanchen like Shifts in Graphene Double Barriers

TL;DR

This paper investigates the Goos-Hanchen like shifts experienced by Dirac fermions in graphene double barrier structures, analyzing their dependence on energy and potential parameters, and validating results against single barrier cases.

Contribution

It provides explicit calculations of Goos-Hanchen like shifts and transmission probabilities for graphene double barriers, extending previous single barrier analyses.

Findings

Goos-Hanchen shifts vary with energy and potential parameters.

Resonance conditions significantly influence the shifts and transmission.

Results recover known single barrier cases as a limit.

Abstract

We study the Goos-Hanchen like shifts for Dirac fermions in graphene scattered by double barrier structures. After obtaining the solution for the energy spectrum, we use the boundary conditions to explicitly determine the Goos-Hanchen like shifts and the associated transmission probability. We analyze these two quantities at resonances by studying their {main} characteristics as a function of the energy and electrostatic potential parameters. To check the validity of our computations we recover previous results obtained for a single barrier under appropriate limits.