Excited states of holographic superconductors with backreaction

TL;DR

This paper constructs a fully back-reacted holographic superconductor model with excited states, analyzing their properties including condensates and optical conductivity, revealing additional peaks corresponding to excited states.

Contribution

It introduces a novel holographic superconductor model with excited states and studies their critical properties and optical conductivities.

Findings

Existence of a series of excited states with specific critical chemical potentials.

Condensate behavior as functions of temperature for excited states.

Additional peaks in optical conductivity corresponding to excited states.

Abstract

In this paper we investigate the model of the anti-de Sitter gravity coupled to a Maxwell field and a free, complex scalar field, and construct a fully back-reacted holographic model of superconductor with excited states. With the fixed charge $q$, there exist a series of excited states of holographic superconductor with the corresponding critical chemical potentials. The condensates as functions of the temperature for the two operators $\mathcal{O}_1$ and $\mathcal{O}_2$ of excited states are also studied. For the optical conductivity in the excited states, we find that there exist the additional peaks in the imaginary and real parts of the conductivity. Moreover, the number of peaks corresponding to $n$-th excited state is equal to $n$.