Superconducting Vortices and Elliptical Ferromagnetic Textures

TL;DR

This paper investigates how elliptical ferromagnetic textures influence vortex formation and transport properties in superconducting thin films, revealing geometry-dependent effects near the critical temperature.

Contribution

It provides an analytical and numerical analysis of vortex creation due to elliptical magnetic textures in superconductors, highlighting the impact of geometry on vortex energetics and anisotropic transport.

Findings

Elliptic magnetic dots favor vortex creation more than circular ones.

Superconductors with elliptic dot arrays show anisotropic transport properties.

Vortex formation depends on magnetization and geometric parameters.

Abstract

In this article an analytical and numerical study of superconducting thin film with ferromagnetic textures of elliptical geometries in close proximity is presented. The screening currents induced in the superconductor due to the magnetic texture are calculated. Close to the superconducting transition temperature $T_c$ the spontaneous creation of superconducting vortices becomes energy favorable depending on the value of the magnetization and the geometrical quantities of the magnetic texture. The creation of vortices by elliptic dots is more energy favorable than those created by circular ones. The superconductor covered by elliptic dots array exhibits anisotropic transport properties.