Quantum fluctuations and the c-axis optical conductivity of High-T_c Superconductors

TL;DR

This paper develops a theoretical model for the frequency-dependent c-axis optical conductivity in high-T_c superconductors, linking quantum and thermal phase fluctuations to observable optical properties.

Contribution

It introduces a new theory connecting phase fluctuations with the optical conductivity, providing a framework to interpret experimental measurements.

Findings

Conductivity sensitive to quantum and thermal phase fluctuations.

Temperature dependence of superfluid stiffness explained.

Interplay between pairing, coherence, and scattering affects absorption.

Abstract

A theory of the frequency dependence of the interplane conductivity of a strongly anisotropic superconductor is presented. The form of the conductivity is shown to be a sensitive probe of the strength of quantum and thermal fluctuations of the phase of the superconducting order parameter. The temperature dependence of the superfluid stiffness and of the form of the absorbtion at frequencies of the order of twice the superconducting gap is shown to depend on the interplay between superconducting pairing, phase coherence and the mechanism by which electrons are scattered. Measurements of the c-axis conductivity of high-T_c superconductors are interpreted in terms of the theory.