Fractal behaviour in graphene open quantum dot

Abstract

Low temperature transport has been studied in a graphene open quantum dot and shows evidence of fractal behaviour in the presence of a perpendicular magnetic field. The graphene quantum dot was fabricated by micromechanical cleavage and standard electron-beam lithography. The magneto-conductance of the dot indicated self similarity. From the exact-self-similarity analysis, the fractal dimension was determined to be 1.4. We have also observed a strong suppression of weak localization that is attributed to mesoscopic corrugations of the graphene. The relationship between the fractal behaviour and structural topology of graphene remains so far unclear. © 2008 IOP Publishing Ltd.