Spreadsheet analysis of stability and meta-stability of low-dimensional magnetic particles using the Ising approach

Abstract

Modelling hysteresis behaviour, as it can be found in a broad variety of dynamical systems, can be performed in different ways. An elementary approach, applied for a set of elementary cells, which uses only two possible states per cell, is the Ising model. While such Ising models allow for a simulation of many systems with sufficient accuracy, they nevertheless depict some typical features which must be taken into account with proper care, such as meta-stability or the externally applied field sweeping speed. This paper gives a general overview of recent results from Ising models from the perspective of a didactic model, based on a 2D spreadsheet analysis, which can be used also for solving general scientific problems where direct next-neighbour interactions take place.

Exchange Bias in Nanostructures: An Update

“…However, there are also simpler models found in the literature, usually based on Stoner-Wohlfarth models, which allow for quicker, but naturally less accurate, simulations of nanoscale EB systems [65,66].…”