Sayed Norollah Hedayat - Urmia University, Faculty of science, Department of physics,
Mohammad Taghi Ahmadi - Urmia University, Faculty of science, Department of physics,
Hadi Goudarzi - Urmia University, Faculty of science, Department of physics,
Hassan Sedghi - Urmia University, Faculty of science, Department of physics,

Graphene has incredible carrier transport property with high application opportunity at single molecule level, which composes it as promising materials on Nano electronicapplication. In order to develop the new device such as graphene Nano scrolls transistor, Carbon Nanotube Field Effect Transistor (CNTFET) and Nanowire based devices, it isessential to investigate the quantum limit in low dimensional systems. In this papertransmission coefficient of the schottcky structure in the graphene based transistor based on the width of semiconducting channel is modeled additionally its quantum propertiesdue to the structural parameters are analyzed. Also one dimensional quantum current in the presence of the wave vector approximation for monolayer graphene Nano scrolls (MGNS)

quantum current, monolayer, graphene Nano scrolls, transmission coefficient, transistor