  In this paper, we present the systematic measurements of the temperature and
magnetic field dependences of the thermodynamic and transport properties of the
Yb-based heavy fermion YbPtBi for temperatures down to 0.02 K with magnetic
fields up to 140 kOe to address the possible existence of a field-tuned quantum
critical point. Measurements of magnetic field and temperature dependent
resistivity, specific heat, thermal expansion, Hall effect, and thermoelectric
power indicate that the AFM order can be suppressed by applied magnetic field
of $H_{c}$ $\sim$ 4 kOe. In the $H-T$ phase diagram of YbPtBi, three regimes of
its low temperature states emerges: (I) AFM state, characterized by spin
density wave (SDW) like feature, which can be suppressed to $T$ = 0 by the
relatively small magnetic field of $H_{c}$ $\sim$ 4\,kOe, (II) field induced
anomalous state in which the electrical resistivity follows $\Delta\rho(T)
\propto T^{1.5}$ between $H_{c}$ and $\sim$ 8 kOe, and (III) Fermi liquid (FL)
state in which $\Delta\rho(T) \propto T^{2}$ for $H \geq$ 8 kOe. Regions I and
II are separated at $T$ = 0 by what appears to be a quantum critical point.
Whereas region III appears to be a FL associated with the hybridized 4$f$
states of Yb, region II may be a manifestation of a spin liquid state.
