  Emergence of higher spin relativistic fermionic materials becomes a new
favorite in the study of condensed matter physics. Massive Rarita-Schwinger
3/2-spinor was known owning very exotic properties, such as the superluminal
fermionic modes and even being unstable in an external magnetic field. Due to
the superluminal modes and the non-trivial constraints on the Rarita-Schwinger
gas, we exposit anomalous properties of the Hall effects in (2+1)-dimensions
which subvert the well-known quantum Hall paradigms. First, the Hall
conductance of a pure Rarita-Schwinger gas is step-like but not
plateau-quantized, instead of the linear dependence on the filling factor for a
pure spin-1/2 Dirac gas. In reality, the Hall conductance of the Dirac gas is
of quantized integer plateaus with the unit $\frac{e^2}h$ due to the
localization away from the Landau level centers. If the general localization
rule is applicable to the disordered Rarita-Schwinger gas, the Hall plateaus
are also expected to appear but they are nonlinearly dependent on the Landau
level index. Furthermore, there is a critical magnetic field beyond which
higher Landau levels become unstable. This confines the filling factor of the
system. We also show that the non-hermitness of the effective Hamiltonian is
not crucial to the nonlinearity of the quantum Hall conductance.
