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https://doi.org/10.3938/NPSM.67.52
Critical Behavior and Spectrum of Holographic Superconductors
New Physics: Sae Mulli 2017; 67: 52~55
Published online January 31, 2017;  https://doi.org/10.3938/NPSM.67.52
© 2017 New Physics: Sae Mulli.

Hyo Chul AHN*, Deog Ki HONG†, Cheonsoo PARK‡

Department of Physics, Pusan National University, Busan 46241, Korea
Correspondence to: *hahn@pusan.ac.kr, †dkhong@pusan.ac.kr, ‡chspark@pusan.ac.kr
Received July 1, 2016; Revised October 4, 2016; Accepted October 25, 2016.
cc This is an open-access article distributed under the terms of the Creative Commons Attribution Non-Commercial License (http://creativecommons.org/licenses/by-nc/3.0/) which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
We study a minimal gravity dual of planar superconductivity at finite temperature to estimate the Meissner and Debye masses of photons in a planar superconductor, which are the characteristic properties of superconductors. We also study the temperature dependences of those masses to find their critical behavior near the critical temperature to see if the behaviors of holographic superconductors deviate from those of the usual conventional BCS superconductors because high-temperature superconductors exhibit properties very different from those of the usual BCS superconductors, as they are strongly correlated. We find that the critical exponents to be 0.49 and 0.92 for the Debye mass and the Meissner mass, respectively. Finally, we study the critical behavior of the radial excitations of the order parameter. 
PACS numbers: 11.25.Tq, 04.70.Bw, 74.20.-z
Keywords: Gauge-gravity duality, High-temperature superconductor, Black holes, Meissner mass, Debye mass


January 2017, 67 (1)