Abstract
The theory of superconductivity can be divided into two groups depending on whether it has multi-kink solutions. For example, the BCS theory and the Gross-Neveu model have metastable multi-kink solutions whereas the conventional Ginzburg-Landau theory without higher-derivative interactions does not have any multi-kink solutions. In this paper, we systematically examine the solutions of the holographic superconductor model to find out which group the model falls into. We show that the holographic superconductor model has metastable multi-kink solutions. In this sense, we find that the holographic superconductor model falls into the category of the BCS theory and the Gross- Neveu model. We also find that the holographic superconductor model has kink crystalline condensates which are well-fitted by the Jacobi elliptic functions.
Highlights
JHEP04(2020)022 the rich phase structure of QCD
We find that the holographic superconductor model has kink crystalline condensates which are well-fitted by the Jacobi elliptic functions
We find that the holographic superconductor model has the kink crystalline condensates of the LO-like phase which are well-fitted by the Jacobi elliptic functions
Summary
We consider the Einstein-Maxwell theory with a negative cosmological constant and a charged complex scalar field Ψ in (3+1) dimensional spacetime [8,9,10]. The action of this model is given by. The Einstein equations yield the (3+1) dimensional planar AdS black hole geometry ds. The Hawking temperature is given by TH = 3/(4πzH ), which corresponds to the temperature of the dual field theory The dynamics of this system is determined by the action of the matter sector.
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