Kink Crystalline Condensate and Multi-kink Solution in Holographic Superconductor

TL;DR

This paper investigates the holographic superconductor model, revealing it possesses metastable multi-kink solutions and kink crystalline condensates, aligning it with theories like BCS and Gross-Neveu that feature such solutions.

Contribution

It systematically demonstrates that the holographic superconductor model admits metastable multi-kink solutions and kink crystalline condensates, expanding understanding of its solution structure.

Findings

Holographic superconductor has metastable multi-kink solutions.

The model exhibits kink crystalline condensates fitted by Jacobi elliptic functions.

It aligns with theories like BCS and Gross-Neveu regarding multi-kink solutions.

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.