Abstract
We briefly discuss the phase transitions in 2d Holographic Superconductors in the probe limit, and in rotating and non-rotating Black Hole backgrounds.
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References
J. Bardeen, L. N. Cooper, and J. R. Schrieffer, “Theory of Superconductivity,” Phys. Rev. 108, 1175–1204 (1957); N. N. Bogoliubov, “A New Method in the Theory of Superconductivity 1,” Sov. Phys. J. Exp. Theor. Phys. 7, 41–46 (1958).
S. Sachdev, Quantum Phase Transitions (CUP, Cambridge, 1998).
J. M. Maldacena, “The Large N Limit of Superconformal Field Theories and Supergravity,” Adv. Theor. Math. Phys. 2, 231–252 (1998); S. S. Gubser, I. R. Klebanov, and A. M. Polyakov, “Gauge Theory Correlators from Noncritical String Theory,” Phys. Lett. B 428, 105–114 (1998); E. Witten, “Anti-De Sitter Space and Holography,” Adv. Theor. Math. Phys. 2, 253–291 (1998).
S. A. Hartnoll, C. P. Herzog, and G. T. Horowitz, “Building a Holographic Superconductor,” Phys. Rev. Lett. 101, 031601 (2008); S. A. Hartnoll, C. P. Herzog, and G. T. Horowitz, “Holographic Superconductors,” J. High Energy Phys. 0812, 015 (2008).
J. Ren, “One-Dimensional Holographic Superconductor from AdS3/CFT2 Correspondence,” J. High Energy Phys. 1011, 055 (2010).
M. Banados, C. Teitelboim, and J. Zanelli, “The Black Hole in Three-Dimensional Space-Time,” Phys. Rev. Lett. 69, 1849–1851 (1992); G. Clement, “Classical Solutions in Three-Dimensional Einstein-Maxwell Cosmological Gravity,” Classical Quantum Gravity 10, L49–L54 (1993).
R. Gregory, S. Kanno, and J. Soda, “Holographic Superconductors with Higher Curvature Corrections,” J. High Energy Phys. 0910, 010 (2009); C. P. Herzog, “An Analytic Holographic Superconductor,” Phys. Rev. D: Part., Fields, Gravitation, Cosmol. 81, 126009 (2010).
Y. Liu, Q. Pan, and B. Wang, “Holographic Superconductor Developed in BTZ Black Hole Background with Backreactions.” arXiv:1107.2909[hep-th]
A. J. Nurmagambetov, “Analytical Approach to Phase Transitions in Rotating and Non-Rotating 2D Holographic Superconductors.” arXiv:1106.4353[hep-th]
G. Clement, “Spinning Charged BTZ Black Holes and Selfdual Particle — Like Solutions.” Phys. Lett. B 367, 70–74 (1996); E. W. Hirschmann and D. L. Welch, “Magnetic Solutions to (2+1) Gravity,” Phys. Rev. D: Part., Fields 53, 5579–5582 (1996); M. Cataldo and P. Salgado, “Static Einstein-Maxwell Solutions in (2+1)-Dimensions,” Phys. Rev. D: Part. Fields 54, 2971–2974 (1996); S. Fernando and F. Mansouri, “Rotating Charged Solutions to Einstein-Maxwell-Chern-Simons Theory in 2+1 Dimensions,” Commun. Math. Theor. Phys. 1, 14 (1998).
J. Sonner, “A Rotating Holographic Superconductor,” Phys. Rev. D: Part., Fields, Gravitation, Cosmol. 80, 084031 (2009).
C. M. Chen and M. F. Wu, “An Analytic Analysis of Phase Transitions in Holographic Superconductors.” arXiv:1103.5130[hep-th].
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Nurmagambetov, A.J. Analytical approach to 2d holographic superconductor. Phys. Part. Nuclei 43, 679–681 (2012). https://doi.org/10.1134/S1063779612050292
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DOI: https://doi.org/10.1134/S1063779612050292