Electronic properties of a graphene antidot in magnetic fields

Abstract

We report on several unusual properties of a graphene antidot created by a piecewise constant potential in a magnetic field. We find that the total probability of finding the electron in the barrier can be nearly one while it is almost zero outside the barrier. In addition, for each electron state of a graphene antidot there is a dot state with exactly the same wavefunction but with a different energy. This symmetry is a consequence of Klein tunneling of Dirac electrons. Moreover, in zigzag nanoribbons we find strong coupling between some antidot states and zigzag edge states. Experimental tests of these effects are proposed.

References in corpus (18)

• Chiral tunneling and the Klein paradox in graphene
• Selective transmission of Dirac electrons and ballistic magnetoresistance of \textit{n-p} junctions in graphene
• Evidence of Klein tunneling in graphene p-n junctions
• Infrared spectroscopy of Landau levels in graphene
• Graphene Antidot Lattices - Designed Defects and Spin Qubits
• Quantum dots in graphene
• Quasi-bound states of quantum dots in single and bilayer graphene
• Bound states and magnetic field-induced valley splitting in gate-tunable graphene quantum dots
• Edge and Surface States in the Quantum Hall Effect in Graphene
• Analytic Model for the Energy Spectrum of a Graphene Quantum Dot in a Perpendicular Magnetic Field
• Weak Localization and Transport Gap in Graphene Antidot Lattices
• The Fock-Darwin States of Dirac Electrons in Graphene-based Artificial Atoms
• Character of electronic states in graphene antidot lattices: Flat bands and spatial localization
• Magneto-conductance Oscillations in Graphene Antidot Arrays
• Magnetic field induced confinement-deconfinement transition in graphene quantum dots
• Real-Space Imaging of Alternate Localization and Extension of Quasi Two-Dimensional Electronic States at Graphite Surfaces in Magnetic Fields
• States near Dirac points of rectangular graphene dot in a magnetic field
• Hole maximum density droplets of an antidot in strong magnetic fields

Cited by in corpus (9)

• Electronic properties of mesoscopic graphene structures: charge confinement and control of spin and charge transport
• Soliton fractional charges in graphene nanoribbon and polyacetylene: similarities and differences
• Hofstadter butterflies and magnetically induced band gap quenching in graphene antidot lattices
• Coulomb impurity problem of graphene in magnetic fields
• Scaling properties of induced density of chiral and non-chiral Dirac fermions in magnetic fields
• Spintronic properties of one-dimensional electron gas in graphene armchair ribbons
• Graphene flakes with defective edge terminations: Universal and topological aspects, and one-dimensional quantum behavior
• Protected edge states in silicene antidots and dots in magnetic field
• Impurity cyclotron resonance of anomalous Dirac electrons in graphene