Short Wavelength Cutoff Effects in the AC Fluctuation Conductivity of Superconductors

TL;DR

This paper investigates how a short wavelength cutoff affects the ac fluctuation conductivity in superconductors, revealing breakdown of scaling and phase shifts, with detailed formulas for various dimensional cases.

Contribution

It introduces the impact of a finite short wavelength cutoff on ac fluctuation conductivity, providing detailed expressions for 3D and 2D superconductors.

Findings

Finite cutoff breaks frequency and temperature scaling.

Increases phase phi beyond pi/4 at T_c.

Provides detailed formulas for isotropic and anisotropic cases.

Abstract

The short wavelength cutoff has been introduced in the calculation of ac fluctuation conductivity of superconductors. It is shown that a finite cutoff leads to a breakdown of the scaling property in frequency and temperature. Also, it increases the phase phi of the complex conductivity (tan(phi)=sigma_2/sigma_1) beyond pi/4 at T_c. Detailed expressions containing all essential parameters are derived for 3D isotropic and anisotropic fluctuation conductivity. In the 2D case we obtain individual expressions for the fluctuation conductivity for each term in the sum over discrete wavevectors perpendicular to the film plane.