The study on penetration depth of anisotropic two-band s-wave superconductors by Ginzburg-Landau approach

TL;DR

This paper uses Ginzburg-Landau theory to analyze the penetration depth in anisotropic two-band s-wave superconductors, providing a model that aligns well with experimental data for materials like MgB2 and CaAlSi.

Contribution

It introduces a Ginzburg-Landau based model for penetration depth considering anisotropic Fermi surfaces, enhancing understanding of superconductivity in these materials.

Findings

Numerical results match experimental data for MgB2 and CaAlSi.

Model accounts for anisotropic Fermi surface shapes such as pancake and ellipse.

Provides insights into the microscopic mechanisms of penetration depth in superconductors.

Abstract

The penetration depth of anisotropic two-band s-wave superconductors have been studied by Ginzburg-Landau approach. The anisotropic spherical Fermi surfaces and order parameters with the spherical ellipse or pancake Fermi shape are used for derive penetration depth equation. The numerical calculation of pancake-pancake and pancake-ellipse Fermi sphere shape are fits well with the experiment data of MgB2 and CaAlSi superconductor, consequently. Our model should be the way to increase understanding in the microscopic mechanism of occurrence of the penetration depth in superconductivity state of these material