Holographic Superconductivity
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Typ
Examensarbete för masterexamen
Master Thesis
Master Thesis
Program
Fundamental physics, MSc
Publicerad
2012
Författare
Wenger, Tobias
Modellbyggare
Tidskriftstitel
ISSN
Volymtitel
Utgivare
Sammanfattning
In this thesis we apply the AdS/CFT conjecture to condensed matter physics and more specifically we consider the application to layered superconductors. In this thesis we apply the AdS/CFT conjecture to condensed matter physics and more specifically we consider the application to layered superconductors. We start by analysing the "ordinary" 2+1 dimensional holographic superconductor where we only have a scalar field coupled to an Einstein-Maxwell theory in the bulk. We then proceed to add first order corrections to the theory by higher derivative terms in the action. This is initially done by adding a Weyl correction which allows us to interpolate between vortex- and quasi particle excitations in the superconductor. We then generalise this to adding all possible first order correction terms to the theory, this amounts to adding non-linear Maxwell terms to the bulk Lagrangian. The stability of the theory is considered and we also explore the parameter space and in particular we find that we are able to tune the energy gap 2 Tc, which in the weakly coupled BCS-case is 3:5. The range of the values for the energy gap we find matches nicely with the experimentally obtained range of energy gaps for high-Tc cuprates. By tuning the coupling strength of the non-linear Maxwell terms we find that we can produce Drude behaviour at low frequencies.
Beskrivning
Ämne/nyckelord
Grundläggande vetenskaper , Elementarpartikelfysik , Supraledning , Kritiska fenomen (fasövergångar) , Matematisk fysik , Relativitetsteori, gravitation , Basic Sciences , Elementary particle physics , Superconductivity , "Critical phenomena (phase transitions);" , Mathematical physics , Theory of relativity, gravitation