  How ions are energized and heated is a fundamental problem in the study of
energy dissipation in magnetized plasmas. In particular, the heating of heavy
ions (including ${}^{4}\mathrm{He}^{2+}$, ${}^{3}\mathrm{He}^{2+}$ and others)
has been a constant concern for understanding the microphysics of impulsive
solar flares. In this article, via two-dimensional hybrid-kinetic
Particle-in-Cell simulations, we study the heating of Helium ions
(${}^{4}\mathrm{He}^{2+}$) by turbulence driven by cascading waves launched at
large scales from the left-handed polarized Helium ion cyclotron wave branch of
a multi-ion plasma composed of electrons, protons, and Helium ions. We find
significant parallel (to the background magnetic field) heating for both Helium
ions and protons due to the formation of beams and plateaus in their velocity
distribution functions along the background magnetic field. The heating of
Helium ions in the direction perpendicular to the magnetic field starts with a
lower rate than that in the parallel direction, but overtakes the parallel
heating after a few hundreds of the proton gyro-periods due to cyclotron
resonances with mainly obliquely propagating waves induced by the cascade of
injected Helium ion cyclotron waves at large scales. There is however little
evidence for proton heating in the perpendicular direction due to the absence
of left-handed polarized cyclotron waves near the proton cyclotron frequency.
Our results are useful for understanding the preferential heating of
${}^{3}\mathrm{He}$ and other heavy ions in the ${}^{3}\mathrm{He}$-rich solar
energetic particle events, in which Helium ions play a crucial role as a
species of background ions regulating the kinetic plasma behavior.
