title: External bias dependent direct to indirect band gap transition in graphene nanoribbon.
abstract: In this work, using self-consistent tight-binding calculations, for the first time, we show that a direct to indirect band gap transition is possible in an armchair graphene nanoribbon by the application of an external bias along the width of the ribbon, opening up the possibility of new device applications. With the help of the Dirac equation, we qualitatively explain this band gap transition using the asymmetry in the spatial distribution of the perturbation potential produced inside the nanoribbon by the external bias. This is followed by the verification of the band gap trends with a numerical technique using Magnus expansion of matrix exponentials. Finally, we show that the carrier effective masses possess tunable sharp characters in the vicinity of the band gap transition points.
authors.affiliation: Department of Electrical Communication Engineering and Center of Excellence in Nanoelectronics, Indian Institute of Science, Bangalore 560012, India. kausik@ece.iisc.ernet.in
authors.forename: Kausik
authors.initials: K
authors.lastname: Majumdar
authors.forename: Kota V R M
authors.initials: KV
authors.lastname: Murali
authors.forename: Navakanta
authors.initials: N
authors.lastname: Bhat
authors.forename: Yu-Ming
authors.initials: YM
authors.lastname: Lin