%0 Journal Article %1 noKey %A Klymenko, Yu. O. %A Shevtsov, O. %D 2009 %I Springer-Verlag %J The European Physical Journal B %K myown %N 3 %P 383-388 %R 10.1140/epjb/e2009-00178-3 %T Quantum transport in armchair graphene ribbons: analytical tight-binding solutions for propagation through step-like and barrier-like potentials %U http://dx.doi.org/10.1140/epjb/e2009-00178-3 %V 69 %X 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.

@article{noKey, abstract = {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.}, added-at = {2013-06-12T16:21:10.000+0200}, author = {Klymenko, Yu. O. and Shevtsov, O.}, biburl = {https://www.bibsonomy.org/bibtex/28152701feed0c9defd29a9910e14c2c4/theorist}, description = {Quantum transport in armchair graphene ribbons: analytical tight-binding solutions for propagation through step-like and barrier-like potentials - Springer}, doi = {10.1140/epjb/e2009-00178-3}, interhash = {35ab2ba9fed706b40ad8576b0970f309}, intrahash = {8152701feed0c9defd29a9910e14c2c4}, issn = {1434-6028}, journal = {The European Physical Journal B}, keywords = {myown}, language = {English}, number = 3, pages = {383-388}, publisher = {Springer-Verlag}, timestamp = {2013-06-12T16:21:11.000+0200}, title = {Quantum transport in armchair graphene ribbons: analytical tight-binding solutions for propagation through step-like and barrier-like potentials}, url = {http://dx.doi.org/10.1140/epjb/e2009-00178-3}, volume = 69, year = 2009 }