Angle-dependent Magnetoresistance Oscillations in KFe$_{2}$As$_{2}$

We report the results of angular-dependent magnetoresistance oscillations (AMRO) in the Fe-Pnictide superconductor KFe$_{2}$As$_{2}$. The two series of AMRO structures are observed, suggesting the existence of two quasi-two-dimensional Fermi surfaces (Q2D-FSs). The obtained FS cross sectional areas correspond to 11 and 15{\%} of the first Brillouin zone, and our results indicate that the cross sections of the Q2D-FSs are rounded square. The diagonal axes of the rounded squares are parallel to the a-axis in both FSs. These results are essentially consistent with the recent quantum oscillations and photoemission spectroscopy measurements.