Scanning the Parameter Space of Holographic Superconductors

Obinna C. Umeh

doi:10.1088/1126-6708/2009/08/062

paper

Scanning the Parameter Space of Holographic Superconductors

arXiv:0907.3136 · doi:10.1088/1126-6708/2009/08/062

Abstract

We study various physical quantities associated with holographic s-wave superconductors as functions of the scaling dimensions of the dual condensates. A bulk scalar field with negative mass squared $m^{2}$ , satisfying the Breitenlohner-Freedman stability bound and the unitarity bound, and allowed to vary in $0.5$ unit intervals, were considered. We observe that all the physical quantities investigated are sensitive to the scaling dimensions of the dual condensates. For all the $m^{2}$ , the characteristic lengths diverge at the critical temperature in agreement with the Ginzburg-Landau theory. The Ginzburg-Landau parameter, obtained from these length scales indicates that the holographic superconductors can be type I or type II depending on the charge and the scaling dimensions of the dual condensates. For a fixed charge, there exists a critical scaling dimension, above which a holographic superconductor is type I, below which it becomes a type II.

24 pages 47 figures

Scanning the Parameter Space of Holographic Superconductors

Abstract

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