# Resistive state of SFS Josephson junctions in the presence of moving domain walls

## TL;DR

This paper investigates how moving domain walls in superconductor/ferromagnet/superconductor Josephson junctions induce resistive states and dissipation, affecting superconducting current flow and revealing characteristic voltage features.

## Contribution

It introduces a model for resistive states caused by domain wall dynamics in SFS Josephson junctions and predicts observable voltage signatures.

## Key findings

- Domain wall motion leads to finite resistance at low currents.
- Magnetization dynamics generate voltage, preventing sustained superconducting current.
- Finite slope of Shapiro steps indicates domain wall oscillations.

## Abstract

We describe resistive states of the system combining two types of orderings - superconducting and ferromagnetic one. It is shown that in the presence of magnetization dynamics such systems become inherently dissipative and in principle cannot sustain any amount of the superconducting current because of the voltage generated by the magnetization dynamics. We calculate generic current-voltage characteristics of a superconductor/ferromagnet/superconductor Josephson junction with an unpinned domain wall and find the low-current resistance associated with the domain wall motion. We suggest the finite slope of Shapiro steps as the characteristic feature of the regime with domain wall oscillations driven by the ac external current flowing through the junction.