  In this study, we aim to explore the effect of chirality on the phase
behavior of active helical particles driven by two-temperature scalar activity.
We first calculate the equation of state of soft helical particles of various
intrinsic chiralities using molecular dynamics (MD) simulation. In equilibrium,
the emergence of various liquid crystal (LC) phases such as nematic (N),
cholesteric ($N_{c}^{*}$), smectic (Sm), as well as crystal (K), crucially
depends on the presence of the walls, which induce homeotropic alignment. Next,
we introduce activity through the two-temperature model: keep increasing the
temperature of half of the helical particles (labeled as 'hot' particles) while
maintaining the temperature of the other half at a lower value (labeled as
'cold' particles). Starting from a homogeneous isotropic (I) phase, we find the
emergence of 2-TIPS: two temperature-induced phase separations between the hot
and cold particles. We also observe the cold particles undergo an ordering
transition to various LC phases even in the absence of a wall. This observation
reveals that the hot-cold interface in the active system plays the role of a
wall in the equilibrium system by inducing an alignment direction for the cold
particles. However, in the case of a cholesteric phase, we observe activity
destabilizes the $N_{c}^{*}$ phase by inducing smectic ordering in the cold
zone while isotropic structure in the hot zone. The smectic ordering in the
cold zone eventually transforms to a chiral crystal phase at high enough
activity.
