Magnetic field induced confinement-deconfinement transition in graphene quantum dots

TL;DR

This paper derives conditions under which magnetic fields can induce confinement-deconfinement transitions in graphene quantum dots, enabling experimental probing of the Klein paradox in such systems.

Contribution

It provides a theoretical framework for controlling confinement in graphene quantum dots using magnetic fields, revealing a transition that can be experimentally observed.

Findings

Identification of potential classes allowing control over state character

Derivation of conditions for confinement and deconfinement

Proposal for experimental probing of the Klein paradox

Abstract

Massless Dirac particles cannot be confined by an electrostatic potential. This is a problem for making graphene quantum dots but confinement can be achieved with a magnetic field and here, general conditions for confined and deconfined states are derived. There is a class of potentials for which the character of the state can be controlled at will. Then a confinement-deconfinement transition occurs which allows the Klein paradox to be probed experimentally in graphene dots.