Strongly Coupled Striped Superconductor with Large Modulation

TL;DR

This paper analytically investigates a strongly coupled striped superconductor with large modulation wavenumber Q, revealing how critical temperature and condensate scale with Q and comparing results with numerical data.

Contribution

It provides an analytical study of the properties of a strongly coupled striped superconductor with large Q, including the effects of a modulated chemical potential.

Findings

Critical temperature scales as a negative power of Q for Δ<3/2.

Condensate scales as a positive power of Q, with the gap proportional to Q.

Analytical results agree well with numerical calculations.

Abstract

We analytically calculate properties of a strongly coupled striped superconductor, with the charge density wave sourced by a modulated chemical potential, in the large modulation wavenumber Q limit. In the absence of a homogeneous term in the chemical potential, we show that the critical temperature scales as a negative power of Q for scaling dimensions \Delta < 3/2, whereas for \Delta > 3/2, there is no phase transition above a certain critical value of Q. The condensate is found to scale as a positive power of Q such that the gap is proportional to Q. We discuss how these results change if a homogeneous term is added to the chemical potential. We compare our analytic results with numerical calculations whenever the latter are available and find good agreement.