Hysteretic characteristics of a double stripline in the critical state

TL;DR

This paper analytically investigates the hysteretic behavior of a double superconducting stripline in the critical state, considering both transport current and perpendicular magnetic field effects, revealing complex magnetic responses.

Contribution

It provides new analytical solutions for the critical state of a double stripline under various conditions, including different configurations and external influences.

Findings

Identifies hysteretic characteristics in double stripline configurations.

Derives analytical expressions for magnetic responses in different states.

Highlights differences between fieldlike and currentlike states.

Abstract

Analytical investigations of the critical state are carried out for a superconducting stripline consisting of two individual coplanar strips with an arbitrary distance between them. Two different cases are considered: a stripline with transport current and strips exposed to a perpendicular magnetic field. In the second case, the obtained solutions correspond to "fieldlike" (for unclosed strips) and "currentlike" (for a long rectangular superconducting loop) states in an isolated strip to which both a transport current and a magnetic field are applied with constant ratio.