On Resonant Scattering States in Graphene Circular Quantum Dots

Abstract

Due to effect of Klein tunneling two-dimensional graphene quantum dots do not possess genuine bound states but quasi-bound (resonant tunneling) states only. We discuss in detail the attempt to describe these states within the framework of the Dirac pseudo-fermion model for circular dot. We demonstrate explicitly that introduced earlier the so called "resonance condition" corresponds to inconsistent system of linear equations obtained from matching conditions on the boundary of the quantum dot when one try to use it for complex energy values and to the case of total reflection for the energies coincided with the potential well top.

arXiv comment7pages, 3figures, submitted to the "Materials Physics and Mechanics"

References in corpus (7)

• The electronic properties of graphene
• Imaging electrostatically confined Dirac fermions in graphene quantum dots
• 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
• Electrostatically confined monolayer graphene quantum dots with orbital and valley splittings
• Signatures of Klein tunneling in disordered graphene p-n-p junctions
• Breaking whispering-gallery modes of massless Dirac fermions in graphene quantum dots by Coulomb interaction