Critical Magnetic Field Ratio of Anisotropic Magnetic Superconductors

TL;DR

This paper analytically investigates how anisotropy, magnetic susceptibility, and Ginzburg-Landau parameters influence the critical magnetic field ratio in magnetic superconductors, revealing significant effects of these factors on the ratio's value.

Contribution

The study provides an analytical calculation of critical magnetic field ratios considering anisotropy, magnetic susceptibility, and Ginzburg-Landau parameters, highlighting their impact on superconducting properties.

Findings

Higher hi, ppa_0, and ta lead to increased critical magnetic field ratios.

Diamagnetic superconductors with high anisotropy have the highest ratios.

Ferromagnetic superconductors exhibit the lowest critical magnetic field ratios.

Abstract

The upper critical field, the lower critical field and the critical magnetic field ratio of anisotropic magnetic superconductors are calculated by Ginzburg-Landau theory analytically. The effect of the Ginzburg-Landau parameter(\kappa_0), magnetic susceptibility(\chi) and magnetic-to- anisotropic parameter ratio(\theta) on the critical field ratio are considered. We find that the value of critical magnetic field ratio with \chi < 0, higher \kappa_0,and higher \theta case are shown the higher value. And, the diamagnetic superconductors with highly anisotropic and the ferromagnetic superconductors are shown the highest and the lowest, respectively.