Interaction effects in a chaotic graphene quantum billiard

Hagymási, Imre and Vancsó, Péter and Pálinkás, András and Osváth, Zoltán (2017) Interaction effects in a chaotic graphene quantum billiard. PHYSICAL REVIEW B. ISSN 2469-9950 (In Press)

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Abstract

We investigate the local electronic structure of a Sinai-like, quadrilateral graphene quantum bil- liard with zigzag and armchair edges using scanning tunneling microscopy at room temperature. It is revealed that besides the ( √ 3 × √ 3) R 30 ° superstructure, which is caused by the intervalley scattering, its overtones also appear in the STM measurements, which are attributed to the Umk- lapp processes. We point out that these results can be well understood by taking into account the Coulomb interaction in the quantum billiard, accounting for both the measured density of state values and the experimentally observed topography patterns. The analysis of the level-spacing dis- tribution substantiates the experimental findings as well. We also reveal the magnetic properties of our system which should be relevant in future graphene based electronic and spintronic application.

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