Geometrical edge barriers and magnetization in superconducting strips with slits

TL;DR

This paper models how geometrical edge barriers influence magnetization in superconducting strips with slits, revealing unique hysteretic behaviors and flux trapping effects due to the slit structures.

Contribution

It provides a theoretical analysis of magnetic and current distributions in superconducting strips with slits, highlighting the impact of geometry on hysteresis and flux trapping.

Findings

Slits cause kink or peak features in m_y-H_a curves during field ascent.

Magnetic flux trapping in slits leads to positive m_y in descending fields.

Slits significantly alter the magnetic response compared to single strips.

Abstract

We theoretically investigate the magnetic-field and current distributions for coplanar superconducting strips with slits in an applied magnetic field H_a. We consider ideal strips with no bulk pinning and calculate the hysteretic behavior of the magnetic moment m_y as a function of H_a due solely to geometrical edge barriers. We find that the m_y-H_a curves are strongly affected by the slits. In an ascending field, the m_y-H_a curves exhibit kink or peak structures, because the slits prevent penetration of magnetic flux. In a descending field, m_y becomes positive, because magnetic flux is trapped in the slits, in contrast to the behavior of a single strip without slits, for which m_y =0.