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Graphene quantum dots (GQDs) are considered as promising alternatives to quantum dots in III–V semiconductors, e.g., for the use as spin qubits. However, this potential has not been realized in experiments so far, calling for a more fundamental investigation of GQDs including a full control of the wave function properties during transport spectroscopy. Here, we review the recent success in mapping wave functions of GQDs by scanning tunneling microscopy (STM). We show that GQDs on Ir(111) are softly confined rendering the wave functions more regular. The wave function mapping is disturbed by a sp‐type surface state from Ir(111), which can be improved by Au intercalation or adequate Fourier analysis. Edge states are absent on Ir(111), but reappear after intercalating Au and coupling the σ‐bonds of the zig‐zag edges to BN. Finally, we show how the goal of probing such wave functions during transport spectroscopy might be achieved. Therefore, we present transport spectroscopy of GQDs on SiO 2  which are prepared in a STM compatible fashion.3D view of STM image of graphene supported by SiO 2  [1][V. Geringer, 2009], [2][T. Mashoff, 2010]; Insets (from left to right): STM image of graphene nano‐islands on Ir(111) and scanning tunneling spectroscopy images of the three low energy wave functions of a particular nano‐island [3][D. Subramaniam, 2009].  (© 2015 WILEY‐VCH Verlag GmbH &Co. KGaA, Weinheim)

physica status solidi (rrl) – rapid research letters

Graphene quantum dots: wave function mapping by scanning tunneling spectroscopy and transport spectroscopy of quantum dots prepared by local anodic oxidation