Dresden 2020 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 57: Poster: Statistical Physics; Critical Phenomena; Stochastic Thermodynamics; Extreme Events; Data Analytics

DY 57.18: Poster

Thursday, March 19, 2020, 15:00–18:00, P1C

Ray-wave correspondence in graphene billiards with sources — •Jule Katharina Schrepfer¹, Ming-Hao Liu², Klaus Richter³, and Martina Hentschel¹ — ¹TU Ilmenau, Ilmenau, Germany — ²National Cheng Kung University, Tainan, China — ³Universität Regensburg, Regensburg, Germany

Graphene billiards are cavities for pseudo-relativistic electrons where trapping is modified by Klein tunneling. There are similarities to optical billiards that have proven to be an interesting model system for quantum chaos in open systems. However, the possibility to tune the effective refractive index of graphene billiards by means of gate voltages makes their study particularly interesting. In the presence of sources, properly tuned gate voltages lead a distinct lensing effect that collimates electrons in a narrow area near the graphene billiard. This lensing effect is seen both in wave simulations and ray modelling with a nice correspondence throughout the midfield of the graphene cavity. The position of the focal area can be controlled not only via the source position but also via gate voltages.