Modeling of Giant Magnetoresistance (GMR): Simple, Advanced, and Complete Approaches- application to Temperature Study

Aims: Giant magneto resistors are currently employed across various domains, including education, aerospace, and industrial sectors. Consequently, it is essential to create diverse models for the analysis and application of these components. Study Design: Giant magnetoresistance. Methodology: In this research, we utilized both basic and sophisticated mathematical models sourced from existing literature. Subsequently, we constructed our two-dimensional CIP/CPP model by addressing the Boltzmann equations. Despite the inherent complexity of this model, it offers an intricate representation of the functioning of GMRs. To ensure the accuracy of this model, we conducted an investigation into its temperature dependence. Results: As part of this study, we implement the different models in Matlab. The temperature study validate our 2D model and shows that GMR performance are improved at lower temperatures, highlighting the potential of GMR-based technologies in cold environments ~ -150°C.