On the electronic spectrum in curved graphene nanoribbons
A. V. Zhukov, R. Bouffanais, N. N. Konobeeva+, M. B. Belonenko*
Singapore University of Technology and Design, 20 Dover Drive, 138682 Singapore
+Volgograd State University, 400062 Volgograd, Russia
*Laboratory of Nanotechnology, Volgograd Institute of Business, 400048 Volgograd, Russia
Abstract
Using the formalism of the Dirac equation for curved space-time in the
Friedmann model of a non-stationary universe, we calculate the electronic
spectrum and density of states in curved graphene nanoribbons. Based on the
obtained density of states we further study the current-voltage (IV)
characteristics of the nanoribbon - metal tunnel junction. The dependence on
the geometric characteristics of the nanoribbon has been revealed, showing a
great influence of such parameters like the number of carbon atoms and the
characteristic frequency of distortion.