The effects of current-path patterns on magnetotransport in spatially-confined structures by Monte Carlo simulation

Simulations are performed on clusters of finite size tostudy the effects of size and current-path structure onmagnetotransport in spatially-confined samples. Magnetotransportnetworks are established and calculated based on fractal structuresincluding Koch curves and percolation backbones extracted fromregular lattices. The structure pattern of clusters is shown to playan important role in the magnetotransport behaviours by affectingthe magnetoresistance fluctuations due to spin disorder in thesystems of small size, which suggests the possibility of controllingthe magnetotransport by the design of current-pathconfigurations.