Avalanches in complex spin networks

We investigate the magnetization reversal processes on classes of complex spin networks with antiferromagnetic interactions along the network links. With slow field ramping the hysteresis loop and avalanches of spin flips occur due to topological inhomogeneity of the network without disorder. We study in detail properties of the magnetization avalanches, hysteresis curves and density of domain walls and show how they can be related to the structural inhomogeneity of the network. The cut-off size of the avalanches on the scale-free trees increases with the number of nodes, indicating that a true criticality of the hysteresis loop might occurs on this class of networks. We also study finite temperature effects on the hysteresis curves in these spin-networks.