GRAPHENE NANORIBBON MOBILITY MODEL FOR PARABOLIC BAND ENERGY N. A. Amin 1 , Z. Johari 1 , M. T. Ahmadi 1,* , S. M. Mousavi 1 , J. F. Webb 2 and R. Ismail 1 1 Faculty of Electrical Engineering Universiti Teknologi Malaysia 81310 Skudai, Johor Darul Takzim, Malaysia. 2 School of Engineering and Science, Swinburne University of Technology Sarawak Campus, Kuching 93576, Sarawak, Malaysia. * Corresponding author; Email: ahmadiph@gmail.com ABSTRACT In this paper we investigate the transport properties of one-dimensional Graphene nanoribbons with a parabolic band structure near the Dirac point (also known as the charge neutrality point). An analytical model of mobility is then developed by using the conductance approach. Experimentally, starting from a negative gate voltage, the mobility is observed to increase with increasing gate voltage until a point of neutrality is reached at zero gate voltage; after this further increases in the gate voltage, which is now positive, produce a decrease in mobility such that the magnitude of the gradient of the mobility versus gate voltage curve is proportional to the gate voltage. It is shown that this behaviour is also predicted by our mobility model. Keywords: Graphene, nanoribbon, transport, mobility, parabolic band structure INTRODUCTION Quasi one-dimensional Graphene nanoribbons (GNRs) [1,2,3] consist of an atomic layer of two- dimensional semiconducting carbon-based material called graphene. GNRs exhibit favorable transport properties [4,5,6] with a zero-width band gap and the band edges meet at the Dirac