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We have performed magnetotransport measurements in CeTe$_{3}$ thin films down to $0.2~{rm K}$. It is known that CeTe$_{3}$ has two magnetic transitions at $T_{rm N1} approx 3~{rm K}$ and $T_{rm N2} approx 1~{rm K}$. A clear Shubnikov-de-Haas (SdH) oscillation was observed at $4~{rm K}$, demonstrating the strong two-dimensional nature in this material. Below $T_{rm N2}$, the SdH oscillation has two frequencies, indicating that the Fermi surface could be slightly modulated due to the second magnetic transition. We also observed a magnetic hysteresis in the SdH oscillation below $T_{rm N1}$. Especially, there is a unique spike in the magnetoresistance at $B approx 0.6~{rm T}$ only when the magnetic field is swept from a high enough field (more than $2~{rm T}$) to zero field.
The magnetic behavior of truncated conical nanoparticles in patterned thin films is investigated as a function of their size and shape. Using a scaling technique, phase diagrams giving the relative stability of characteristic internal magnetic struct
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