Entropy-driven formation of prolate and oblate cholesteric phases by computer simulations

Predicting the macroscopic chiral behaviour of cholesteric liquid crystals from the microscopic chirality of the particles is highly non-trivial, even when the chiral interactions are purely entropic in nature. Here we introduce a novel chiral hard-particle model, namely particles with a twisted polyhedral shape and obtain, for the first time, a stable fully-entropy-driven cholesteric phase by computer simulations. By slightly modifying the triangular base of the particle, we are able to switch from a left-handed prolate to a right-handed oblate cholesteric using the same right-handed twisted particle model. Furthermore, we find qualitative agreement with an Onsager-like theory, suggesting that the latter can be used as a quick tool to scan the huge parameter space associated to the microscopic chirality. Our results unveil how the competition between particle biaxiality and chirality is reflected into the nematic self-organization and new theoretical challenges on the self-assembly of chiral particles can be undertaken.