One dimensional s-wave holographic superconductor with supercurrent

Abstract

We study the one dimensional s-wave holographic superconductor by turning on the vector potential $A_x$ in the bulk, which behaves as $A_x=A_x^{(0)}\ln z+A_x^{(1)}$ on the boundary. By solving the model with fixed $A_x^{(0)}$, we find that if we identify the $A_x^{(0)}$ with the supercurrent $j_x$ of the holographic superconductor, the results agree with the Gindzburg- Landau theory. For example, $A_x^{(0)}$ will break the superconductivity, and the critical value of $A_x^{(0)}$ is proportional to $(T_c-T{)}^{3/2}$.

13 pages, 8figures, references added

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• Analytical study on holographic superfluid in AdS soliton background
• Nonlinear Conductivity of a Holographic Superconductor Under Constant Electric Field
• Conductivity of the one-dimensional holographic p-wave superconductors in the presence of nonlinear electrodynamics
• Holographic p-wave superfluid in Gauss-Bonnet gravity
• Symmetric solitonic excitations of the (1+1)-dimensional Abelian-Higgs "classical vacuum"
• Holographic p-wave superfluid in the AdS soliton background with $R{F}^2$ corrections
• Holographic P-wave Superconductors in 1+1 Dimensions
• Kibble-Zurek Scaling in a Holographic p-wave Superconductor
• Generalized extremal branes in AdS/CMT and holographic superconductors
• Holographic superfluid with excited states