Kink crystalline condensate and multi-kink solution in holographic superconductor

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.

Spontaneously translational symmetry breaking in the excited states of holographic superconductor

“…From the figure, we can clearly see the physics of our model -below T c , the condensate forms; after that its value starts to decrease under a temperature T d due to spontaneously can also be found at [46,47,48,49], where, as the previous holographic studies illustrated, these inhomogeneous solutions are important results from microscopic models like the BCS theory and the Gross-Neveu model, and conventional phenomenological Ginzburg-Landau theory with higher-derivative interactions terms, to which holographic models must recover.…”

“…Except for the left panel where L are relatively large (we will see that L have limits in Fig. 7), O 2 (x) of the first excited state shown in the right panel that have smaller L qualitatively resemble kink crystalline condensate refered in [46]. Where, in the right panel, with the decrease of L, the peaks of cos-like functions grow higher and the smooth peaks become flat.…”