113 citations · 971 across the 28 of their papers we have counts for
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cond-mat.mes-hall2011★ 58 cited
Searching for confined modes in graphene channels: the variable phase method
D. A. Stone, C. A. Downing, M. E. Portnoi
Using the variable phase method, we reformulate the Dirac equation governing the charge carriers in graphene into a nonlinear first-order differential equation from which we can tr…
cond-mat.mes-hall2011★ 95 cited
Zero-energy states in graphene quantum dots and rings
C. A. Downing, D. A. Stone, M. E. Portnoi
We present exact analytical zero-energy solutions for a class of smooth decaying potentials, showing that the full confinement of charge carriers in electrostatic potentials in gra…