# Spin dependent transport characterization in metallic lateral spin valves using 1D and 3D modeling

## TL;DR

This paper compares 1D and 3D modeling approaches to analyze spin signals in metallic lateral spin valves, enabling accurate extraction of spin transport parameters and providing insights into spin/charge distributions.

## Contribution

It introduces a combined 1D and 3D modeling framework for reliable spin transport characterization in metallic lateral spin valves.

## Key findings

- Both models yield consistent spin diffusion length and polarization values.
- The combined approach offers detailed insights into 3D spin/charge current distributions.
- The methodology enhances the reliability of spin transport measurements.

## Abstract

We present the analysis of the spin signals obtained in NiFe based metallic lateral spin valves. We exploit the spin dependent diffusive equations in both the conventional 1D analytic modeling as well as in 3D Finite Element Method simulations. Both approaches are used for extracting the spin diffusion length $l_{sf}^{N}$ and the effective spin polarization $P_{eff}$ in Py/Al, Py/Cu and Py/Au based lateral nano-structures at both $300\,K$ and $77\,K$. Both the analytic modeling and 3D Finite Element Method simulations give consistent results. Combination of both models provides a powerful tool for reliable spin transport characterization in all metallic spin valves and gives an insight into the spin/charge current and spin accumulations 3D distributions in these devices. We provide the necessary ingredients to develop the 3D finite element modeling of diffusive spin transport.