Anomalous size dependence of the coercivity of nanopatterned CrGeTe 3 .

The coercivity of single-domain magnetic nanoparticles typically decreases with the nanoparticle size and reaches zero when thermal fluctuations overcome the magnetic anisotropy. Here, we used SQUID-on-tip microscopy to investigate the coercivity of square-shaped CrGeTe ₃ nanoislands with a wide range of sizes and width-to-thickness aspect ratios. The results reveal an anomalous size-dependent coercivity, with smaller islands exhibiting higher coercivity. The nonconventional scaling of the coercivity in CrGeTe ₃ nanoislands was found to be inversely proportional to the island width and thickness (1/ wd ). This scaling implies that the nanoisland magnetic anisotropy is proportional to the perimeter rather than the volume, suggesting a magnetic edge state. In addition, we observe that 1600 nm wide islands display multi-domain structures with zero net remnant field, corresponding to the magnetic properties of pristine CrGeTe ₃ flakes. Our findings highlight the significant influence of edge states on the magnetic properties of CrGeTe ₃ and deepen our understanding of low-dimensional magnetic systems.