Switching probability of all-perpendicular spin valve nanopillars

TL;DR

This paper derives an analytical expression for the switching probability in all-perpendicular spin valve nanopillars, simplifying the analysis by exploiting symmetry and Legendre polynomial expansion, applicable to single-domain magnetic particles.

Contribution

It introduces a simplified, analytical method for calculating switching probabilities in symmetric spin valve nanopillars, facilitating experimental data fitting.

Findings

Analytical expression for switching probability derived

Method applicable to single-domain magnetic particles

Simplifies analysis of symmetric spin valve devices

Abstract

In all-perpendicular spin valve nanopillars the probability density of the free-layer magnetization is independent of the azimuthal angle and its evolution equation simplifies considerably compared to the general, nonaxisymmetric geometry. Expansion of the time-dependent probability density to Legendre polynomials enables analytical integration of the evolution equation and yields a compact expression for the practically relevant switching probability. This approach is valid when the free layer behaves as a single-domain magnetic particle and it can be readily applied to fitting experimental data.