https://doi.org/10.1140/epjb/e2009-00178-3
Quantum transport in armchair graphene ribbons: analytical tight-binding solutions for propagation through step-like and barrier-like potentials
1
Space Research Institute of NAS and NSA of Ukraine, 03680 Kyiv, Ukraine
2
National Taras Shevchenko University of Kyiv, 03680 Kyiv, Ukraine
Corresponding author: a yurkl@ikd.kiev.ua
Received:
28
October
2008
Revised:
5
March
2009
Published online:
21
May
2009
Based on the nearest-neighbor tight-binding approximation, we present exact analytical expressions for transmission coefficients through piecewise constant step-like and barrier-like electrostatic potentials. In the case of single mode propagation through semiconducting ribbon families our analytical solutions predict a new kind of resonances. Its features substantially change the behavior of the transmission coefficients in the range of moderate potentials, which become family-dependent. For semimetal ribbons our approach predicts no unit propagation. The non-zero backscattering is derived to be proportional as the square of the potential amplitude applied.
PACS: 72.10.-d – Theory of electronic transport; scattering mechanisms / 73.63.-b – Electronic transport in nanoscale materials and structures / 73.63.Nm – Quantum wires
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2009
