Magnetoresistance studies of two-dimensional Fe₃GeTe₂nano-flake

The magneto-transport properties of two-dimensional (2D) Fe₃GeTe₂(FGT) nano-flakes are carefully investigated with the variation of the temperature and the direction of the applied magnetic field (B). Four magnetoresistance (MR) behavior are obtained at different temperatures withBparalleling the flake's surface, because of the competition between the merging of different domains, spin fluctuation, and the spin momentum flipping. Different from the reported negative MR of bulk FGT, 2D FGT shows a positive MR behavior with the increase ofBat a low temperature in a lowBrange, owning to the domination of the spin momentum flipping induced by the weakening of the coupling between different layers with the decrease of the thickness of the FGT flake. The angle-dependence of the FGT MR is also investigated and can be well explained by the competition mentioned above.