Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 5, Pages -Publisher
SPRINGER
DOI: 10.1007/JHEP05(2010)102
Keywords
Gauge-gravity correspondence; AdS-CFT Correspondence
Categories
Funding
- National Science Foundation [PHY05-51164]
- European Commission [MOIF-CT-2006-38381]
- Spanish Ministry of Science [FPA2009-07122]
- Spanish Consolider-Ingenio [CSD2007-00042]
- MEC FPU [AP2008-04553]
- MCYT Research [FPA 2007-66665]
- Generalitat de Catalunya [2009SGR502]
- ICREA Funding Source: Custom
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We study general models of holographic superconductivity parametrized by four arbitrary functions of a neutral scalar field of the bulk theory. The models can accommodate several features of real superconductors, like arbitrary critical temperatures and critical exponents in a certain range, and perhaps impurities or boundary or thickness effects. We find analytical expressions for the critical exponents of the general model and show that they satisfy the Rushbrooke identity. An important subclass of models exhibit second order phase transitions. A study of the specific heat shows that general models can also describe holographic superconductors undergoing first, second and third (or higher) order phase transitions. We discuss how small deformations of the HHH model can lead to the appearance of resonance peaks in the conductivity, which increase in number and become narrower as the temperature is gradually decreased, without the need for tuning mass of the scalar to be close to the Breitenlohner-Freedman bound. Finally, we investigate the inclusion of a generalized theta term producing Hall effect without magnetic field.
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