Electronic states in a bilayer graphene quantum ripple

TL;DR

This paper explores how the geometry of a quantum ripple surface affects the electronic states of electrons constrained to move on it, revealing the influence of surface shape and angular momentum.

Contribution

It introduces a model analyzing the impact of ripple geometry and angular momentum on electronic states in bilayer graphene surfaces.

Findings

Geometry significantly alters electronic energy levels.

Orbital angular momentum influences state localization.

Surface curvature affects quantum confinement.

Abstract

In this paper, we investigate the influence of the geometry in the electronic states of a quantum ripple surface. We have considered an electron governed by the spinless stationary Schr\"{o}dinger equation constrained to move on the ripple surface due to a confining potential from which the Da Costa potential emerges. We investigate the role played by the geometry and orbital angular momentum on the electronic states of the system.