Analytical criteria for magnetization reversal in $\varphi_0$ Josephson junction

TL;DR

This paper derives analytical criteria for magnetization reversal in $\

Contribution

It provides an analytical solution for magnetization dynamics and criteria for reversal in $\

Findings

Analytical criteria for magnetization reversal are formulated.

Optimal current pulse parameters for reversal are identified.

Analytical and numerical results agree under specific conditions.

Abstract

The $\varphi_0$ Josephson junctions formed by ordinary superconductors and a magnetic non-centrosymmetric interlayer are studied. We derive an analytical solution for the magnetization dynamics induced by an arbitrary current pulse and formulate the criteria for magnetization reversal. Using the obtained results, the form and duration of the current pulse are optimized. The agreement between analytical and numerical investigations is reached in the case of a large product of the ratio Josephson to magnetic energy, strength of spin-orbit interaction and a minimal value of the current pulse. The obtained results allow one to predict magnetization reversal at the chosen system parameters.