Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2012-04-17
Phys. Rev. B 85, 165434 (2012)
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
REVTEX 4-1, 6 pages with 7 figures. For related papers, see http://www.prism.gatech.edu/~ph274cy/
Scientific paper
10.1103/PhysRevB.85.165434
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.
Landman Uzi
Romanovsky Igor
Yannouleas Constantine
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