Holographic Plasmons in Graphene
Examensarbete för masterexamen
Since its discovery in 2004, graphene has been a hot topic in research. As it is a two-dimensional material it has many exciting and often extreme properties. It has recently been shown to possess strongly coupled properties, implying that standard methods such as perturbation theory fails to properly depict the behaviour of graphene in certain regimes. One way to get around this is using the AdS/CFT- duality discovered by Maldacena in 1997. This approach has previously been carried out with success, predicting several properties of similar materials. One property that has yet to be described by such models however is the existence of plasmons. The purpose of this thesis was therefore to investigate this issue. We built a top-down D3-D7'-model in the same fashion as previously done by Jokela et al. The model was then incorporated into Wolfram Mathematica for the numerical calculations. In the model we had a number of di erent choices that were either model speci c (e.g. embeddings, stabilizing magnetic uxes, boundary conditions) or physical quantities (e.g. temperature, charge density) that allowed for searches in a large parameter space. This exibility allowed us to compare the results from our model with similar studies. However, no plasmons were found within the model. We discuss some possible shortcomings of the model and outline future research directions.
Annan teknik , Grundläggande vetenskaper , Hållbar utveckling , Innovation och entreprenörskap (nyttiggörande) , Materialvetenskap , Other Engineering and Technologies , Basic Sciences , Sustainable Development , Innovation & Entrepreneurship , Materials Science