%0 Journal Article
%T Patterns of the Aharonov-Bohm oscillations in graphene nanorings
%A Igor Romanovsky
%A Constantine Yannouleas
%A Uzi Landman
%J Physics
%D 2012
%I arXiv
%R 10.1103/PhysRevB.85.165434
%X Using extensive tight-binding calculations, we investigate (including the spin) the Aharonov-Bohm (AB) effect in monolayer and bilayer trigonal and hexagonal graphene rings with zigzag boundary conditions. Unlike the previous literature, we demonstrate the universality of integer (hc/e) and half-integer (hc/2e) values for the period of the AB oscillations as a function of the magnetic flux, in consonance with the case of mesoscopic metal rings. Odd-even (in the number of Dirac electrons, N) sawtooth-type patterns relating to the halving of the period have also been found; they are more numerous for a monolayer hexagonal ring, compared to the cases of a trigonal and a bilayer hexagonal ring. Additional more complicated patterns are also present, depending on the shape of the graphene ring. Overall, the AB patterns repeat themselves as a function of N with periods proportional to the number of the sides of the rings.
%U http://arxiv.org/abs/1204.3929v1