  The three-dimensional (3D) topological Dirac semimetal is a new topological
phase of matter, viewed as the 3D analogy of graphene with a linear dispersion
in the 3D momentum space. Here, we report the angular dependent
magnetotransport in Cd3As2 single crystal and clearly show how the Fermi
surface evolves when tilting the magnetic field. Remarkably, when the magnetic
field lies in [112] and [44-1] axis, only single oscillation period features
present, however, the system shows double period oscillations when the field is
applied along [1-10] direction. Moreover, tilting the magnetic field at certain
direction also gives double period oscillations. We attribute the anomalous
oscillation behavior to the sophisticated geometry of Fermi surface and
illustrate a complete 3D Fermi surfaces with two nested anisotropic ellipsoids
around the Dirac point. Additionally, a sub-millimeter mean free path at 6 K is
observed in Cd3As2 crystal, indicating a large ballistic transport region in
this material. Tracking the magnetoresistance oscillations to 60 T, we reach
the quantum limit (n = 1 Landau Level) at about 43 T. These results improve the
knowledge of the Dirac semimetal material Cd3As2, and also pave the way for
proposing new electronic applications based on 3D Dirac materials.
