Surface Plasmon Polaritons in Strongly Correlated Media
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Typ
Examensarbete för masterexamen
Program
Publicerad
2021
Författare
Nilsson, Eric
Modellbyggare
Tidskriftstitel
ISSN
Volymtitel
Utgivare
Sammanfattning
The “strange metal” phase, exhibited by certain types of graphene and high-Tc superconductors
above the transition temperature, sits at the frontier of condensed matter physics.
However, successfully describing the phase proves to be a difficult task, as it is characterized
by strong correlations, making conventional methods fail. Hence there is a need of
novel approaches, where an alternative method comes from high-energy physics in the form
of the holographic principle. It states that the strongly coupled theory can be mapped to
a dual, weakly coupled, gravitational theory in one dimension higher, making calculations
go from impossible to feasible. Surface plasmon polaritons (SPPs) are a valuable tool in
an experimentalists toolbox, as they can serve as a probe of their surroundings. They may
therefore useful in the design of the experiments needed to answer the questions about
the strange metal phase. In this thesis, we model SPPs propagating on a strange metal in
a holographic setting. By numerically solving unwieldy differential equations in the dual
gravitational theory, with boundary conditions specified by the SPP system, we are able
to obtain some numerical dispersion relations for the plasmons, although more work is
needed. The results suggest that magnetic effects, which normally are suppressed, might
come into play when the material is strongly correlated.
Beskrivning
Ämne/nyckelord
plasmons , holographic duality , AdS/CFT , AdS/CMT , SPP