Statistical magnitudes and the Klein tunneling in bi-layer graphene: influence of evanescent waves

TL;DR

This paper investigates how evanescent waves affect Klein tunneling in bi-layer graphene by analyzing statistical measures and their relation to transmission, revealing anisotropic transparency phenomena.

Contribution

It introduces a statistical approach to analyze Klein tunneling in bi-layer graphene, highlighting the role of evanescent waves in the process.

Findings

Statistical complexity and Fisher-Shannon information vary with incidence angle.

Minimum statistical measures correspond to total transparency conditions.

Evanescent waves significantly influence tunneling behavior in bi-layer graphene.

Abstract

The problem of the Klein tunneling across a potential barrier in bi-layer graphene is addressed. The electron wave functions are treated as massive chiral particles. This treatment allows us to compute the statistical complexity and Fisher-Shannon information for each angle of incidence. The comparison of these magnitudes with the transmission coefficient through the barrier is performed. The role played by the evanescent waves on these magnitudes is disclosed. Due to the influence of these waves, it is found that the statistical measures take their minimum values not only in the situations of total transparency through the barrier, a phenomenon highly anisotropic for the Klein tunneling in bi-layer graphene.