Regensburg 2010 – scientific programme

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TT: Fachverband Tiefe Temperaturen

TT 1: TR: Graphene 1

TT 1.5: Talk

Monday, March 22, 2010, 11:15–11:30, H18

Is it possible to detect edge states in graphene quantum dots? — •Michael Wimmer¹, Anton R. Akhmerov¹, and Francisco Guinea² — ¹Instituut-Lorentz, Universiteit Leiden, The Netherlands — ²Instituto de Ciencia de Materiales de Madrid, Spain

We analyze the single particle states at the edges of graphene quantum dots of arbitrary shapes. By combining analytical and numerical arguments, we show that localized edge states, distinct from extended ones, exist in dots of all dimensions. The number of these states is proportional to the circumference of the dot measured in lattice constants. Perturbations breaking electron-hole symmetry shift the edge states away from zero energy but do not change their total amount.