Dresden 2017 – wissenschaftliches Programm

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HL: Fachverband Halbleiterphysik

HL 79: Poster: New Materials

HL 79.12: Poster

Donnerstag, 23. März 2017, 15:00–19:00, P2-OG3

Designing Locally Symmetric Eigenstates in Planar Discrete Systems — •Malte Röntgen, Christian V. Morfonios, and Peter Schmelcher — Zentrum f. Optische Quantentechnologien, Luruper Chaussee 149, 22761 Hamburg

Local symmetries are spatial symmetries that are only present in a spatially finite subdomain of a system. Contrary to the usual case of global symmetries, the effects of local symmetries on the system's eigenstates are not obvious and thus have not been investigated thoroughly in the past. However, in this paper we show that it is indeed possible to gain knowledge about the structure of the eigenstates of systems possessing local symmetries. To this end, we use and extend a framework of so-called non-local currents that has been established recently. The then-extended framework is applicable to all kinds of discrete planar Schrödinger systems, including those with non-uniform connectivity. We use the framework both to derive general identities as well as to investigate two locally symmetric subsystems in detail. These subsystems are closed-loops and one-dimensional open ended chains. We find that, depending on the local symmetry and the type of subsystem, some or all amplitudes within the subsystem to be related by a constant factor. Since these effects can easily be understood using our framework of non-local currents, we expect it to help researchers finding and understanding more effects of local symmetries.