Magnetic field induced confinement-deconfinement transition in graphene quantum dots

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.

4 pages, 4 figres

References in corpus (6)

• Spin qubits in graphene quantum dots
• Transport measurements across a tunable potential barrier in graphene
• Magnetic confinement of massless Dirac fermions in graphene
• Quantum dots in graphene
• Quasi-bound states of quantum dots in single and bilayer graphene
• The Fock-Darwin States of Dirac Electrons in Graphene-based Artificial Atoms