Holographic Methods for Condensed Matter Physics

Examensarbete för masterexamen

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Type: Examensarbete för masterexamen
Master Thesis
Title: Holographic Methods for Condensed Matter Physics
Authors: Säterskog, Petter
Abstract: The physics of certain condensed matter systems is not well understood due to strong coupling preventing perturbative descriptions and in certain cases also numerical simulations. The AdS/CFT correspondence might allow a non-perturbative description of these systems in terms of a dual weakly coupled system. In this thesis the AdS/CFT correspondence is used to model a high-Tc superconductor by a gravity theory outside a black hole in AdS space. The frequency dependent conductivity is calculated using this model and a superconducting phase is shown to appear below a critical temperature. These computations are described in detail in the first part of the thesis. In the spirit of effective field theory, the second part of the thesis includes a higher curvature correction on the gravity side. The correction is shown to give a Drude peak and its properties are examined. Another way to introduce a Drude peak is by introducing a periodic lattice [1], as was recently done by Horowitz et al. Our way of obtaining the Drude peak is computationally much simpler than the periodic lattice and might be a useful effective description.
Keywords: Fysik;Physical Sciences
Issue Date: 2013
Publisher: Chalmers tekniska högskola / Institutionen för fundamental fysik
Chalmers University of Technology / Department of Fundamental Physics
URI: https://hdl.handle.net/20.500.12380/180210
Collection:Examensarbeten för masterexamen // Master Theses



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