Electronic states of graphene nanoribbons and analytical solutions

Analytical study of electronic structure in armchair graphene nanoribbons

Huaixiu Zheng,1 Z. F. Wang,2 Tao Luo,2 Q. W. Shi,2,* and Jie Chen1,† 1Electrical and Computer Engineering, University of Alberta, Canada AB T6G 2V4 2Hefei National Laboratory for Physical Sciences at Microscale, University of Science and Technology of China, Hefei, Anhui 230026, People’s Republic of China Received 19 December 2006; revised manuscript received 18 March 2007; published 20 April 2007

Graphene Nanoribbons: Geometric, Electronic, and Magnetic Properties

Graphene nanoribbons (GNRs) have one-dimensional structures with hexagonal twodimensional carbon lattices, which are stripes of graphene. Their structures and their electronic and magnetic properties have been intensively studied both experimentally and theoretically. Due to their various edge structures, GNRs present different electronic properties ranging from normal semiconductors to spin-po...

Electronic transport properties of graphene nanoribbons

We will present brief overview on the electronic and transport properties of graphene nanoribbons focusing on the effect of edge shapes and impurity scattering. The low-energy electronic states of graphene have two non-equivalent massless Dirac spectrum. The relative distance between these two Dirac points in the momentum space and edge states due to the existence of the zigzag type graphene ed...

Electronic Properties of Deformed Graphene Nanoribbons

Electronic properties of twisted armchair graphene nanoribbons

We study the effect of twist on the electronic structure of H-terminated armchair graphene nanoribbons, for both relaxed and unrelaxed unit cell size. We investigate the band gap change as a function of the twist angle for different ribbon widths. In the case of unrelaxed unit cell size, the band gap closes for smaller twist angles as opposed to relaxed unit cell size. We calculate strain energ...