Magnetization reversal in spin patterns with complex geometry

TL;DR

This paper investigates how the topology of complex graph-based substrates influences magnetization reversal dynamics, avalanche behavior, and hysteresis in antiferromagnetic spin systems, with implications for nanoscale magnetic device design.

Contribution

It introduces a model of spin dynamics on complex graphs, analyzing how connectivity and clustering affect magnetization reversal and avalanche phenomena.

Findings

Avalanche sizes depend on graph connectivity and clustering.

Hysteresis loops are shaped by the substrate's topological features.

Topological constraints pin spin flip avalanches, affecting reversal processes.

Abstract

We study field-driven dynamics of spins with antiferromagnetic interaction along the links of a complex substrate geometry, which is modeled by graphs of a controlled connectivity distribution. The magnetization reversal occurs in avalanches of spin flips, which are pinned by the topological constraints of the underlying graph. The hysteresis loop and avalanche sizes are analyzed and classified in terms of graph's connectivity and clustering. The results are relevant for magnets with a hierarchical spatial inhomogeneity and for design of nanoscale magnetic devices.