Holographic striped superconductor with ionic lattice

TL;DR

This paper develops a holographic model to explore the interplay of ionic lattices with striped superconductivity, revealing phase transitions and the impact of lattice amplitude on critical temperatures and phase stability.

Contribution

It introduces a novel holographic model incorporating ionic lattices to study phase diagrams with charge density waves and striped superconductivity.

Findings

Critical temperature of CDW decreases with lattice amplitude.

Critical temperature of superconducting phase increases with lattice amplitude.

Striped superconducting phase has the lowest free energy among studied phases.

Abstract

We construct a holographic model to study the striped superconductor on ionic lattices. This model features a phase diagram with three distinct phases, namely the charge density wave (CDW) phase, ordinary superconducting phase (SC) and the striped superconducting phase (SSC). The effect of the ionic lattices on the phase diagram is investigated in detail. First, due to the periodic nature of the background, different types of CDW solutions can be found below the critical temperature. Furthermore, with the increase of the lattice amplitude these solutions are locked in different commensurate states. Second, we find that the critical temperature of CDW phase decreases with the increase of the lattice amplitude, while that of the SC phase increases. Additionally, the background solutions are obtained for different phases, and it is verified that the SSC phase has the lowest free energy among all three phases.