  Following the reports of candidate chiral doublet bands observed in cesium
isotopes, the possible chiral candidates and the evolution of three-dimensional
rotation in $^{120-134}{\textrm{Cs}}$ are investigated within the microscopic
three-dimensional tilted axis cranking covariant density functional theory
(3DTAC-CDFT). By investigating the evolution of the polar angle $\theta$ and
azimuth angle $\varphi$ as a function of rotational frequency $\hbar\omega$,
the transition from the planar rotation to the chiral rotation has been found
in $^{121-133}{\textrm{Cs}}$. The corresponding critical rotational frequency
$\omega_{\textrm{crit}}$ of the appearance of chiral aplanar rotation decreases
as neutron number increases, which can be attributed to the neutrons in $(gd)$
and $(sd)$ shells having smaller angular momentum components along both the
short and long axes, and larger components along medium axis, respectively. In
comparison, only planar rotation has been obtained in
$^{120,134}{\textrm{Cs}}$. With these interpretations, the obtained
$I\sim\hbar\omega$ and energy spectra as well as $B(M1)/B(E2)$ values show
reasonable agreement with the available experimental data. In addition, the
evolution of quadrupole deformation $\beta$ and triaxial deformation $\gamma$
are also discussed.
