# A cryogenic memory element based on an anomalous Josephson junction

## TL;DR

This paper introduces a cryogenic, non-volatile memory device based on a ferromagnetic Josephson junction with spin-orbit coupling, demonstrating its potential for stable, low-temperature data storage with noise resilience and non-destructive readout.

## Contribution

It proposes a novel memory element utilizing magnetoelectric effects in Josephson junctions, including analysis of thermal noise, switching dynamics, and protection mechanisms.

## Key findings

- Memory states are encoded in out-of-plane magnetization direction.
- Thermal fluctuations influence the stability and switching of the memory.
- A non-destructive readout scheme using a dc-SQUID is proposed.

## Abstract

We propose a non-volatile memory element based on a lateral ferromagnetic Josephson junction with spin-orbit coupling and out-of-plane magnetization. The interplay between the latter and the intrinsic exchange field of the ferromagnet leads to a magnetoelectric effect that couples the charge current through the junction and its magnetization, such that by applying a current pulse the direction of the magnetic moment in F can be switched. The two memory states are encoded in the direction of the out-of-plane magnetization. With the aim to determine the optimal working temperature for the memory element, we explore the noise-induced effects on the averaged stationary magnetization by taking into account thermal fluctuations affecting both the Josephson phase and the magnetic moment dynamics. We investigate the switching process as a function of intrinsic parameters of the ferromagnet, such as the Gilbert damping and strength of the spin-orbit coupling, and proposed a non-destructive readout scheme based on a dc-SQUID. Additionally, we analyze a way to protect the memory state from external perturbations by voltage gating in systems with a both linear-in-momentum Rashba and Dresselhaus spin-orbit coupling.