Berlin 2018 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 23: Quantum Chaos

DY 23.4: Talk

Tuesday, March 13, 2018, 10:45–11:00, EB 107

Ray-Wave correspondence in Optical and Graphene Billiards — •Guido Natura and Martina Hentschel — Technische Universität Ilmenau, Ilmenau

The development of optical resonators became essential for the improvements of optical devices such as filters, sensors or lasers. A promising application are microcavities, which allow the trapping of light by means of internal reflection. Here we are considering graphene Billiards where the resonator geometry is created by a step and a barrier on a graphene surface and allows the trapping of carriers inside [1,2]. These are assumed to behave as relativistic fermions in a finite domain as in the Neutrino Berry-Mondragon-Billiards [3]. The objective of this work is the invesitigation of whispering gallery modes in graphene Billiards and the study of a possible ray-wave-correspondence in the relativistic case.

[1] Katsnelson, M.I., Novoselov, K.S. and Geim, A.K., Chiral tunneling and the Klein paradox in graphene, Nature Physics, 2, 620-625 (2006)

[2] Zhao et al., Creating and probing electron whispering-gallery modes in graphene, Science, 348, 672-675 (2015)

[3] Berry, M.V. and Mondragon, R.J., Neutrino Billiards: Time-Reversal Symmetry-Breaking Without Magnetic Fields Proc. Royal. Soc. A: Mathematical, Physical and Engineering Sciences, 412, 53-74 (1987)