Holographic Approach to Superconductivity

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Mohammadi Mozaffar, Mohammad Reza | 2010

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Type of Document: M.Sc. Thesis
Language: Farsi
Document No: 40087 (04)
University: Sharif University of Technology
Department: Physics
Advisor(s): Parvizi, Shahrokh
Abstract:
AdS/CFT Correspondence since it origination has found numerous applications in various aspects of Physics such as ion collision in Accelerators, Condensed matter Physics and etc. this orrespondence is a consequence of String Theory. In this project we have tried to analyze some of its applications in Condensed matter Physics and in the controversial phenomenon of superconductivity without resorting to the complexities of String Theory. Having applied this approach we have found a dual for it in Gravity and having calculated some common physical quantities and equations in these two sets such as Energy gap, Conductivity, London Equations and etc, we have tried to show the correspondence, Moreover we have investigated the behavior of Holographic Superconductors under the influence of a Magnetic field.
Keywords:
AdS/CFT Correspondence ; Superconductivity ; Holography ; Anti deSitter (AdS)Space ; Bardeen-Cooper-Schrieffer Theory