Patterns of the Aharonov-Bohm oscillations in graphene nanorings
Abstract
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.
Keywords
Cite
@article{arxiv.1204.3929,
title = {Patterns of the Aharonov-Bohm oscillations in graphene nanorings},
author = {Igor Romanovsky and Constantine Yannouleas and Uzi Landman},
journal= {arXiv preprint arXiv:1204.3929},
year = {2012}
}
Comments
REVTEX 4-1, 6 pages with 7 figures. For related papers, see http://www.prism.gatech.edu/~ph274cy/